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% \usetheme{Singapore} % ima sadrzaj i tackice gore
% \usetheme{Antibes} % ima sadrzaj gore i kao graf ...
% \usetheme{Berkeley} % ima sadrzaj desno
% \usetheme{Berlin} % ima sadrzaj gore i tackice
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% does not look nice, try deleting the line with the fontenc.
% Site Specific Dynamics of Structures:
%From Seismic Source to
%the Safety of Occupants and Content
\title[High Fidelity Modeling and Simulation]
{Hierarchical, High Fidelity \\
Modeling and Simulation \\
of Static and Dynamic Behaviour of \\
Soil Structure Systems}
%\subtitle
%{Include Only If Paper Has a Subtitle}
%\author[Author, Another] % (optional, use only with lots of authors)
%{F.~Author\inst{1} \and S.~Another\inst{2}}
% - Give the names in the same order as the appear in the paper.
% - Use the \inst{?} command only if the authors have different
% affiliation.
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\pgfdeclareimage[height=0.7cm]{lbnl-logo}{/home/jeremic/BG/amblemi/lbnl-logo}
\author[Jeremi{\'c} et al.] % (optional, use only with lots of authors)
%{Boris~Jeremi{\'c}}
{Boris Jeremi{\'c}
}
%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
\institute[\pgfuseimage{university-logo}\hspace*{0.1truecm}\pgfuseimage{lbnl-logo}] % (optional, but mostly needed)
%{ Professor, University of California, Davis\\
{ University of California, Davis, CA\\
% and\\
% Faculty Scientist, Lawrence Berkeley National Laboratory, Berkeley }
Lawrence Berkeley National Laboratory, Berkeley, CA}
% - Use the \inst command only if there are several affiliations.
% - Keep it simple, no one is interested in your street address.
\date[] % (optional, should be abbreviation of conference name)
{\small {\O}rsted Energy, Copenhagen, Denmark \\
January 2018}
\subject{}
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% Structuring a talk is a difficult task and the following structure
% may not be suitable. Here are some rules that apply for this
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% - Exactly two or three sections (other than the summary).
% - At *most* three subsections per section.
% - Talk about 30s to 2min per frame. So there should be between about
% 15 and 30 frames, all told.
% - A conference audience is likely to know very little of what you
% are going to talk about. So *simplify*!
% - In a 20min talk, getting the main ideas across is hard
% enough. Leave out details, even if it means being less precise than
% you think necessary.
% - If you omit details that are vital to the proof/implementation,
% just say so once. Everybody will be happy with that.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Introduction}
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\subsection{Motivation}
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\begin{frame}
\frametitle{Motivation}
\begin{itemize}
%\vspace*{0.3cm}
\item[] Improve modeling and simulation for infrastructure objects
% \vspace*{2mm}
% \item[] Expert numerical modeling and simulation tool
\vspace*{2mm}
\item[] Use of high fidelity numerical models to analyze behavior
of soil structure systems
\vspace*{2mm}
\item[] Reduction of modeling uncertainty, ability to perform high(er) level
of sophistication modeling and simulation
\vspace*{2mm}
\item[] Accurately follow the flow of input and dissipation of energy in a
soil structure system
\vspace*{2mm}
\item[] Development of an expert, rational physics based, system for modeling
and simulation
% \vspace*{1mm}
% \item[] The goal is to create methodology and numerical tool that is used to
% predict and inform and not to fit
%
%\vspace*{1mm}
% \item[] Directing, in space and time, seismic energy flow in the
% soil structure system
\end{itemize}
\end{frame}
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\begin{frame}
\frametitle{Hypothesis}
\begin{itemize}
%\vspace*{0.5cm}
\item Interplay dynamic characteristics of the Dynamic Forcing /
Earthquake, Soil/Rock and Structure in time domain, plays a decisive role in
successes and failures
\vspace*{3mm}
\item Timing and spatial location of energy dissipation determines location
and amount of damage
\vspace*{3mm}
\item If timing and spatial location of the energy dissipation
can be controlled (directed),
we could optimize soil structure system for
\begin{itemize}
\item Safety and
\item Economy
\end{itemize}
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% % \frametitle{Seismic Energy Dissipation for \underline{Soil}-Foundation-Structure Systems}
% \frametitle{Energy Dissipation in SSI System}
% % \frametitle{Seismic Energy Dissipation for
% % \underline{Soil}-Foundation-Structure Systems}
%
%
% \begin{itemize}
%
%
% \vspace*{0.2cm}
% \item Mechanical dissipation outside of SSI domain:
% \begin{itemize}
% \item SSI system oscillation radiation
% \item reflected wave radiation
% \end{itemize}
% \vspace*{0.2cm}
% \item Mechanical dissipation/conversion inside SSI domain:
% \begin{itemize}
% \item plasticity of soil subdomain
% \item plasticity/damage of the parts of structure/foundation
% \item viscous coupling of porous solid (soil) with pore fluid (air, water)
% \item viscous coupling of structure/foundation with fluids
% % \item potential and kinetic energy
% % \item potential $\leftarrow \! \! \! \! \! \! \rightarrow$ kinetic energy
% \end{itemize}
%
%
%
% \vspace*{0.2cm}
% % \item Numerical energy dissipation (numerical damping/production and period errors)
% % \item Numerical energy dissipation (damping/production)
% \item Numerical energy dissipation/production
%
%
% \end{itemize}
%
% %
% \end{frame}
% % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
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\begin{frame}
\frametitle{Predictive Capabilities}
% \frametitle{High Fidelity Modeling of SFS System:
% Verification, Validation and Prediction}
\begin{itemize}
\item { Prediction under Uncertainty}: use of computational model
to predict the state of SSI system under
conditions for which the computational model has not been validated.
\vspace*{1mm}
\item {{ Verification} provides evidence that the model is solved
correctly.} Mathematics issue.
\vspace*{1mm}
\item {{ Validation} provides evidence that the correct model is
solved.} Physics issue.
\vspace*{1mm}
\item Modeling and parametric uncertainties are always present, need to be
addressed
\vspace*{1mm}
\item Predictive capabilities with {low Kolmogorov Complexity}
\vspace*{1mm}
\item Goal: Predict and Inform and not (force) Fit
\end{itemize}
\end{frame}
%
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%\subsection*{Uncertainties}
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\begin{frame}
\frametitle{Modeling Uncertainty}
\begin{itemize}
\item Simplified modeling: Features (important ?) are neglected (6D
ground motions, inelasticity)
\vspace*{4mm}
\item Modeling Uncertainty: unrealistic and unnecessary modeling
simplifications
\vspace*{4mm}
\item Modeling simplifications are justifiable if one or two level higher
sophistication model shows that features being simplified out are not
important
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Parametric Uncertainty: Material Stiffness}
%\vspace*{-3mm}
\begin{figure}[!hbpt]
\begin{center}
%
\hspace*{-7mm}
\includegraphics[width=7.0truecm]{/home/jeremic/tex/works/Papers/2008/JGGE-GoverGmax/figures/YoungModulus_RawData_and_MeanTrend_01-Ed.pdf}
% \hfill
\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Papers/2008/JGGE-GoverGmax/figures/YoungModulus_Histogram_Normal_01-Ed.pdf}
%
\end{center}
\end{figure}
% \vspace*{-1.8cm}
% %\hspace*{-3.3cm}
% \begin{flushright}
% {\tiny
% Transformation of SPT $N$-value: \\
% 1-D Young's modulus, $E$ \\
% (cf. Phoon and Kulhawy (1999B))\\
% ~}
% \end{flushright}
%
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Parametric Uncertainty: Material Strength}
%
%
% \begin{figure}[!hbpt]
% \begin{center}
% %
% \hspace*{-7mm}
% \includegraphics[width=6.50truecm]{/home/jeremic/tex/works/Papers/2008/JGGE-GoverGmax/figures/ShearStrength_RawData_and_MeanTrend-Mod.pdf}
% \hspace*{-7mm}
% % \hfill
% \includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Papers/2008/JGGE-GoverGmax/figures/ShearStrength_Histogram_PearsonIV-FineTuned-Mod.pdf}
% %
% \end{center}
% \end{figure}
%
% % \vspace*{-1.8cm}
% % %\hspace*{-3.3cm}
% % \begin{flushright}
% % {\tiny
% % Transformation of SPT $N$-value: \\
% % 1-D Young's modulus, $E$ \\
% % (cf. Phoon and Kulhawy (1999B))\\
% % ~}
% % \end{flushright}
% % %
%
%
% \end{frame}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Parametric Uncertainty: Material Properties}
\begin{figure}[!hbpt]
\begin{center}
% %
\hspace*{-3mm}
\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKarapiperis/Soil_Uncertainty_Report_Pdf_Cdf_Figures/FieldPhiPdf.pdf}
\hspace*{-3mm}
\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKarapiperis/Soil_Uncertainty_Report_Pdf_Cdf_Figures/FieldPhiCdf.pdf}
\hspace*{3mm}
\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKarapiperis/Soil_Uncertainty_Report_Pdf_Cdf_Figures/FieldSuPdf.pdf}
\hspace*{-3mm}
\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKarapiperis/Soil_Uncertainty_Report_Pdf_Cdf_Figures/FieldSuCdf.pdf}
\\
%\vspace*{-2mm}
\hspace*{-2.5cm} \mbox{\tiny Field $\phi$} \hspace*{3.5cm} \mbox{\tiny Field $c_u$}
%\vspace*{45mm}
\hspace*{-3mm}
\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKarapiperis/Soil_Uncertainty_Report_Pdf_Cdf_Figures/LabPhiPdf.pdf}
\hspace*{-3mm}
\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKarapiperis/Soil_Uncertainty_Report_Pdf_Cdf_Figures/LabPhiCdf.pdf}
\hspace*{3mm}
\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKarapiperis/Soil_Uncertainty_Report_Pdf_Cdf_Figures/LabSuPdf.pdf}
\hspace*{-3mm}
\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKarapiperis/Soil_Uncertainty_Report_Pdf_Cdf_Figures/LabSuCdf.pdf}
\\
%\vspace*{-8mm}
\hspace*{-2.5cm} \mbox{\tiny Lab $\phi$} \hspace*{3.5cm} \mbox{\tiny Lab $c_u$}
\end{center}
\end{figure}
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Realistic ESSI Modeling Uncertainties}
\begin{itemize}
\item Seismic Motions: 6D, inclined, body and surface waves
(translations, rotations); Incoherency
\vspace*{3mm}
\item Inelastic material: soil, rock, concrete, steel; Contacts,
foundation--soil, dry, saturated slip--gap; Nonlinear buoyant forces; Isolators,
Dissipators
\vspace*{3mm}
\item Uncertain loading and material
\vspace*{3mm}
\item Verification and Validation $\Rightarrow$ Predictions
% \vspace*{2mm}
% \item High Fidelity Models $\Rightarrow$ High Performance Computing
%
%
% \vspace*{2mm}
% \item Education
%
\end{itemize}
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
%
%
%
%
%
%
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\subsection{Real ESSI Simulator System}
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\begin{frame}
\frametitle{Real ESSI Simulator System}
The Real ESSI, {\underline {\bf Real}}istic modeling and simulation of
{\underline {\bf E}}arthquakes,
{\underline {\bf S}}oils,
{\underline {\bf S}}tructures and their
{\underline {\bf I}}nteraction. Simulator is a software, hardware and
documentation system for high fidelity, high performance, time domain,
nonlinear/inelastic, deterministic or probabilistic, 3D, finite element modeling
and simulation of:
\begin{itemize}
%\vspace*{1mm}
\item statics and dynamics of soil,
\vspace*{1mm}
\item statics and dynamics of rock,
\vspace*{1mm}
\item statics and dynamics of structures,
\vspace*{1mm}
\item statics of soil-structure systems, and
\vspace*{1mm}
\item dynamics of earthquake-soil-structure system interaction
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Real ESSI Simulator System}
\begin{itemize}
\item Real ESSI System Components
\begin{itemize}
\item Pre-processor (gmsh/gmESSI, X2ESSI, SASSI2ESSI)
\item Simulator (local, remote/cloud)
\item Post-Processor (Paraview, Python, Matlab)
\end{itemize}
\vspace*{1mm}
\item Real ESSI System availability:
\begin{itemize}
%\vspace*{1mm}
\item Professional Practice and Educational Institutions: Amazon Web Services (AWS, economical!)
%\vspace*{1mm}
\item Government Agencies, National Labs and some Companies: Local/Remote
%%\vspace*{1mm}
% \item Sources available to collaborators
\end{itemize}
\vspace*{1mm}
\item Real ESSI Education and Training
\vspace*{1mm}
\item System description and documentation at \url{http://real-essi.us/}
% \vspace*{2mm}
% \item
%
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Quality Assurance}
\begin{itemize}
\item Full verification suit for each element, model, algorithm
\vspace*{4mm}
\item Certification process in progress for NQA-1 and ISO-90003-2014
%\vspace*{3mm}
%\item[] Verification examples given below
\end{itemize}
\end{frame}
%-------------------------------------------------------
\begin{frame}{High Fidelity (Parametric, Geometric and Algorithmic)}
\begin{figure}
\includegraphics[width=0.95\textwidth]{/home/jeremic/tex/works/Thesis/YuanFeng/Files_06June2017/latex_slides/Figure-files/verification/asymptotic_converge.png}
\end{figure}
\end{frame}
% \begin{frame}{One of Verification Techniques}
% Richardson Extrapolation
% \begin{itemize}
% \item[] Stress solution with the strain increment size as:
% \begin{equation}
% \sigma(d\epsilon) = \sigma^* + C d\epsilon^{\beta} + O(d\epsilon^{\beta+1})
% \end{equation}
% where $\sigma^*$ is the accurate result.
%
% \item[] Richardson extrapolation is defined as
% \begin{equation}
% \begin{aligned}
% R(d\epsilon, k) & = \frac{k^{\beta}\sigma(d\epsilon) - \sigma(k d\epsilon) } { k^{\beta} - 1} \\
% & = \frac{k^{\beta}
% \left(\sigma^* + C d\epsilon^{\beta} + O(d\epsilon^{\beta+1}) \right) }
% { k^{\beta} - 1}
% -
% \frac{\sigma^* + C k^{\beta} d\epsilon^{\beta} + O(d\epsilon^{\beta+1}) }
% { k^{\beta} - 1} \\
% & = \sigma^* + O (d\epsilon^{\beta + 1})
% \end{aligned}
% \end{equation}
% % The higher order error is cancelled out.
% \end{itemize}
% \end{frame}
%
%
%
%
%
%-------------------------------------------------------
\begin{frame}{Example: Verification for Elastoplastic Algorithms}
Comparison between forward and backward Euler algorithms.
\begin{figure}
\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/YuanFeng/Files_06June2017/latex_slides/Figure-files/verification/NonAssociate.pdf}
\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/YuanFeng/Files_06June2017/latex_slides/Figure-files/verification/verification_example.png}
\end{figure}
\end{frame}
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\section{Seismic Motions}
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\subsection{Observations and Regional Models}
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\begin{frame}
\frametitle{3D (6D) Seismic Motions}
\vspace*{2mm}
\begin{itemize}
\item All (most) measured motions are full 3D (6D)
\item One example of an almost 2D motion (LSST07, LSST12)
\vspace*{-5mm}
\begin{figure}[!hbpt]
\begin{center}
%
\includegraphics[width=5.5truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Lotung_LSST07_FA25.jpeg}
\includegraphics[width=5.5truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Lotung_LSST12_FA25.jpeg}
%
\end{center}
\end{figure}
\item 1D (?): M 6.9 San Pablo, Guatemala EQ, 14Jun2017
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Regional Geophysical Models}
\begin{itemize}
\item High fidelity free field seismic motions on regional scale
\vspace*{4mm}
\item Knowledge of geology (deep and shallow) needed
\vspace*{4mm}
\item High Performance Computing using SW4 on CORI (LBNL)
\vspace*{4mm}
\item Collaboration with LLNL: Dr.~Rodgers, Dr.~Pitarka and Dr.~Petersson
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Regional Geophysical Models}
\begin{figure}[!htb]
\begin{center}
\includegraphics[width=5truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/San_Francisco__Regional_Model_BIG.jpg}
\includegraphics[width=5.2truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/San_Francisco__Regional_Model.jpg}
\end{center}
% \caption{\label{Fig:NPP_Model_In_Real_ESSI} Nuclear Power Plant Model with Shallow Foundation }
\end{figure}
Rodgers and Pitarka
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Regional Geophysical Models}
\begin{figure}[!htb]
\begin{center}
\includegraphics[width=10truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/USG-Bay_Area_Model_CC_det2_sm.jpg}
\end{center}
% \caption{\label{Fig:NPP_Model_In_Real_ESSI} Nuclear Power Plant Model with Shallow Foundation }
\end{figure}
USGS
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Example Regional Model}
\begin{figure}[!htb]
\begin{center}
\includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/Vs_at_top.jpg}
% \includegraphics[width=5truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/Horizontal_Velocity_at_12s.jpg}
\includegraphics[width=5truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/Peak_Velocity.jpg}
\end{center}
% \caption{\label{Fig:NPP_Model_In_Real_ESSI} Nuclear Power Plant Model with Shallow Foundation }
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Example Regional Model (Rodgers)}
%\vspace*{-2mm}
\begin{center}
\hspace*{-15mm}
%
\movie[label=show3,width=8.0cm,poster,autostart,showcontrols]
{\includegraphics[width=60mm]{BJicon.png}}{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/M6.5_s500_BASIN+STOCHASTIC.mag.SLOW.mpg}
\hspace*{-15mm}
%
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Rodgers_Free_Field_motions/M6.5_s500_BASIN+STOCHASTIC.mag.SLOW.mpg}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{ESSI: 6D or 1D Seismic Motions}
\begin{itemize}
\item Assume that a full 6D (3D) motions at the surface are only recorded in one
horizontal direction
\item From such recorded motions one can develop a vertically propagating shear
wave in 1D
\item Apply such vertically propagating shear wave to the same soil-structure
system
\end{itemize}
\vspace*{-3mm}
\begin{figure}[!H]
\begin{center}
\includegraphics[width=6.5cm]{/home/jeremic/tex/works/Conferences/2015/CompDyn/Present/6D_to_1D_01.jpg}
\end{center}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{6D Free Field Motions (closeup)}
\vspace*{-2mm}
\begin{center}
\hspace*{-7mm}
\movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
{\includegraphics[width=70mm]{BJicon.png}}{movie_input_closeup.mp4}
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_01AApr2015/movie_input_closeup.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{1D vs 3D Seismic Motions}
\begin{itemize}
\item One component of motions (1D) from 3D
% or 3$\times$1D (it is done all the time!)
\item Excellent fit
% (goal is to predict and inform and not (force) fit)
\end{itemize}
% local
%\vspace*{-2mm}
\begin{center}
\hspace*{-16mm}
%\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
\movie[label=show3,width=61mm,poster, showcontrols]
{\includegraphics[width=60mm]{movie_ff_3d_mp4_icon.jpeg}}{movie_ff_3d.mp4}
% \hspace*{-16mm}
% \end{center}
% %
% %
% %
% \begin{center}
% \hspace*{-16mm}
\movie[label=show3,width=61mm,poster, showcontrols]
{\includegraphics[width=60mm]{movie_ff_1d_mp4_icon.jpeg}}{movie_ff_1d.mp4}
\hspace*{-16mm}
\end{center}
%
\begin{flushleft}
%\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
%
\hspace*{55mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_1d.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
% online
% online \begin{center}
% online \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% online {\includegraphics[width=50mm]{movie_ff_3d_mp4_icon.jpeg}}
% online %
% online \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_1d.mp4}
% online {\includegraphics[width=50mm]{movie_ff_1d_mp4_icon.jpeg}}
% online \end{center}
% online
%
\end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{1D vs 3$\times$1D vs 3D Seismic Motions}
%
%
% \begin{itemize}
%
% \vspace{2mm}
% \item 1D is required by the code
%
% \vspace{4mm}
% \item 3$\times$1D can be used depending on frequency/wave length of interest,
%
% \vspace{4mm}
% \item 3D is more realistic, however it is challenging to define motions in full 3D
%
% \end{itemize}
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{When to use 3D and/or 3$\times$1D}
%
%
% \begin{figure}[!hbpt]
% \begin{center}
% %
% %\includegraphics[width=4.5truecm]{/home/jeremic/tex/works/Papers/2016/3D_vs_3_x_1D_motions/version_04Jan2017/NearFieldESSINPPs/results/3d_vs_1d_6/node_733_acce.pdf}
% %\includegraphics[width=4.5truecm]{/home/jeremic/tex/works/Papers/2016/3D_vs_3_x_1D_motions/version_04Jan2017/NearFieldESSINPPs/results/6/node_733_acce.pdf}
% % %
% % \\
% % \includegraphics[width=9.5truecm]{/home/jeremic/tex/works/Papers/2016/3D_vs_3_x_1D_motions/version_04Jan2017/NearFieldESSINPPs/results/3d_vs_1d_6/node_733_fft.pdf}
% % \\
% \includegraphics[width=11truecm]{/home/jeremic/tex/works/consulting/2017/IAEA/TECDOC/Version_14Mar2017/1Dvs3x1Dvs3D_waves.pdf}
% \end{center}
% \end{figure}
%
% \end{frame}
%
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{1D vs 3D, Bottom Control Point}
%
%
%
%
%
%
% \begin{center}
% \includegraphics[width=5truecm]{/home/jeremic/tex/works/Thesis/HexiangWang/3Dvs1D_29Nov2017/images/XY_plane_acc_637.jpg}
% \includegraphics[width=5truecm]{/home/jeremic/tex/works/Thesis/HexiangWang/3Dvs1D_29Nov2017/images/YZ_plane_acc_534.jpg}
% \end{center}
%
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Free Field 3D vs 1D Convolution From Base Point}
%
%
%
%
% \begin{center}
% \includegraphics[width=3.4truecm]{/home/jeremic/tex/works/Thesis/HexiangWang/3Dvs1D_29Nov2017/images/motion_compare_surface_ax.pdf}
% \includegraphics[width=3.4truecm]{/home/jeremic/tex/works/Thesis/HexiangWang/3Dvs1D_29Nov2017/images/motion_compare_surface_ay.pdf}
% \includegraphics[width=3.4truecm]{/home/jeremic/tex/works/Thesis/HexiangWang/3Dvs1D_29Nov2017/images/motion_compare_surface_az.pdf}
% \end{center}
%
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{3D vs 3$\times$1D vs 1D, Top of SMR}
%
%
%
%
% \begin{center}
% \includegraphics[width=3.4truecm]{/home/jeremic/tex/works/Thesis/HexiangWang/3Dvs1D_29Nov2017/images/point1Ax.pdf}
% \includegraphics[width=3.4truecm]{/home/jeremic/tex/works/Thesis/HexiangWang/3Dvs1D_29Nov2017/images/point1Ay.pdf}
% \includegraphics[width=3.4truecm]{/home/jeremic/tex/works/Thesis/HexiangWang/3Dvs1D_29Nov2017/images/point1Az.pdf}
% \end{center}
%
% \end{frame}
%
%
%
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{6D Free Field at Location}
%
%
% \vspace*{-2mm}
% \begin{center}
% \hspace*{-7mm}
% \movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
% {\includegraphics[width=69mm]{BJicon.png}}{movie_ff_3d.mp4}
% \end{center}
%
%
% \begin{flushleft}
% \vspace*{-15mm}
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% % \href{./homo_50m-mesh_45degree_Ormsby.mp4}
% {\tiny (MP4)}
% \end{flushleft}
% %
%
%
% \end{frame}
%
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{6D Earthquake Soil Structure Interaction}
%
% \vspace*{-2mm}
% \begin{center}
% \hspace*{-7mm}
% \movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
% {\includegraphics[width=70mm]{BJicon.png}}
% {movie_npp_3d.mp4}
% \end{center}
%
% \begin{flushleft}
% \vspace*{-15mm}
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_npp_3d.mp4}
% {\tiny (MP4)}
% \end{flushleft}
% %
%
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{1D Free Field at Location}
%
%
% \vspace*{-2mm}
% \begin{center}
% \hspace*{-7mm}
% \movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
% {\includegraphics[width=70mm]{BJicon.png}}
% {movie_ff_1d.mp4}
% \end{center}
%
% \begin{flushleft}
% \vspace*{-15mm}
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_1d.mp4}
% {\tiny (MP4)}
% \end{flushleft}
% %
%
%
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{1D ESSI of NPP}
%
%
% \vspace*{-2mm}
% \begin{center}
% \hspace*{-7mm}
% \movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
% {\includegraphics[width=70mm]{BJicon.png}}
% {movie_npp_1d.mp4}
% \end{center}
%
% \begin{flushleft}
% \vspace*{-15mm}
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_npp_1d.mp4}
% {\tiny (MP4)}
% \end{flushleft}
% %
%
%
%
%
% \end{frame}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{6D vs 1D NPP ESSI Response Comparison}
\vspace*{-2mm}
\begin{center}
\hspace*{-7mm}
\movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
{\includegraphics[width=69mm]{BJicon.png}}
{movie_2_npps.mp4}
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_2_npps.mp4}
{\tiny (MP4)}
\end{flushleft}
%
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Stress Test Motions}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Stress Testing SSI Systems}
\begin{itemize}
\item Excite SSI system with a suite of seismic motions
%\vspace*{2mm}
\item Simple sources, variation in strike and dip,
P and S waves, surface waves (Rayleigh, Love, etc.)
%\vspace*{2mm}
\item Stress test soil-structure system
% system
% for a variety of body and surface waves/motions
\item Try to "break" the system, shake-out strong and weak links
%\vspace*{3mm}
%\item
\end{itemize}
\vspace*{-2mm}
\begin{figure}[!htb]
\begin{center}
\includegraphics[width=6.5cm]{/home/jeremic/tex/works/Conferences/2015/CNSC_July/Present/Stress_test_NPP_idea.jpg}
\hspace*{-5mm}
\end{center}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Stress Test Source Signals}
\begin{itemize}
% \item Gauss
% \begin{figure}[!hbpt]
% \begin{flushright}
% \vspace*{-0.5cm}
% \includegraphics[width=7.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/gauss.png}
% \end{flushright}
% \end{figure}
\item Ricker
\begin{figure}[!hbpt]
\begin{flushright}
\vspace*{-1cm}
\includegraphics[width=4.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Verification_and_Validation_for_Seismic_Wave_Propagation_Problems/tex_works_Thesis_NimaTafazzoli_Dissertation_Nima_Dissertation_Chapter3_Ricker2nd.pdf}
\includegraphics[width=4.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Verification_and_Validation_for_Seismic_Wave_Propagation_Problems/tex_works_Thesis_NimaTafazzoli_Dissertation_Nima_Dissertation_Chapter3_Ricker2nd_FFT.pdf}
\hspace*{-0.7cm}
\end{flushright}
\end{figure}
\item Ormsby
\begin{figure}[!hbpt]
\begin{flushright}
\vspace*{-1cm}
\includegraphics[width=4.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Verification_and_Validation_for_Seismic_Wave_Propagation_Problems/tex_works_Thesis_NimaTafazzoli_Dissertation_Nima_Dissertation_Chapter3_Ormsby.pdf}
\includegraphics[width=4.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Verification_and_Validation_for_Seismic_Wave_Propagation_Problems/tex_works_Thesis_NimaTafazzoli_Dissertation_Nima_Dissertation_Chapter3_Ormsby_FFT.pdf}
\hspace*{-0.7cm}
\end{flushright}
\end{figure}
\end{itemize}
% \begin{figure}[!hbpt]
% \begin{center}
% %
% \includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/gauss.png}
% %
% \includegraphics[width=2.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Verification_and_Validation_for_Seismic_Wave_Propagation_Problems/tex_works_Thesis_NimaTafazzoli_Dissertation_Nima_Dissertation_Chapter3_Ricker2nd.pdf}
% \includegraphics[width=2.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Verification_and_Validation_for_Seismic_Wave_Propagation_Problems/tex_works_Thesis_NimaTafazzoli_Dissertation_Nima_Dissertation_Chapter3_Ricker2nd_FFT.pdf}
% %
% \includegraphics[width=2.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Verification_and_Validation_for_Seismic_Wave_Propagation_Problems/tex_works_Thesis_NimaTafazzoli_Dissertation_Nima_Dissertation_Chapter3_Ormsby.pdf}
% \includegraphics[width=2.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Verification_and_Validation_for_Seismic_Wave_Propagation_Problems/tex_works_Thesis_NimaTafazzoli_Dissertation_Nima_Dissertation_Chapter3_Ormsby_FFT.pdf}
% %
% \end{center}
% \end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\subsection{Local Geology Effects}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Layered and Dyke/Sill Models}
\vspace*{5mm}
\begin{itemize}
% \item Uniform soil/rock, to show surface waves
\vspace*{1mm}
\item (a) Horizontal layers
\item (b) Dyke/Sill intrusion
\vspace*{-12mm}
\begin{figure}[!hbpt]
\begin{flushright}
%
\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/models.png}
%
\end{flushright}
\end{figure}
%\vspace*{10mm}
\item Source locations matrix (point sources)
\item Source strike and dip variation
\item Magnitude variations
\item Range of frequencies
\end{itemize}
%\vspace*{-5mm}
\begin{figure}[!hbpt]
\begin{center}
%
%\hspace*{-5mm}
\includegraphics[width=8.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/geom.png}
%
\end{center}
\end{figure}
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \begin{frame}
% \frametitle{Layered System, Variable Source Depth}
%
% \vspace*{2mm}
%
% \begin{itemize}
%
% \item Epicenter is $2500$m away from the location of interest
%
% \item Source depth $850$m (softer layers) and $2500$m (hard rock)
%
% \item Different wave propagation path to the point of interest
%
% \item Surface waves quite pronounced
%
% \end{itemize}
%
%
% \vspace*{-5mm}
%
% \begin{figure}[!hbpt]
% \begin{center}
% %
% \hspace*{-5mm}
% %\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_no/bh_x_output_z850_dip45_gaussx4750.png}
% \includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_no/borehole_ux_gauss_x5000.png}
% \includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_no/borehole_uz_gauss_x5000.png}
% %\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_no/bh_x_output_z850_dip45_gaussx5250.png}
% %
% \end{center}
% \end{figure}
%
% \end{frame}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Layered System, Displacement Traces}
%\vspace*{5mm}
\begin{itemize}
\item Epicenter is $2500$m away from the location of interest
\item Source depth $850$m (left) and $2500$m (right)
\item Different wave propagation path to the point of interest
\item Surface waves quite pronounced
% \item Surface waves present
\item Layered geology did not filter out surface waves
% \item Mildly incoherent motions
\end{itemize}
\vspace*{-7mm}
\begin{figure}[!hbpt]
\begin{center}
%
\hspace*{-5mm}
\includegraphics[width=5.8truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_no/cut_output_z850_dip45_gauss.png}
\includegraphics[width=5.8truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_no/cut_output_z2500_dip45_gauss.png}
%\hspace*{-4mm}
%
\end{center}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Layered System, Variable Source Depth}
%
% \begin{center}
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% {\includegraphics[width=50mm]{movie_ff_3d_mp4_icon.jpeg}}
% %
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_1d.mp4}
% {\includegraphics[width=50mm]{movie_ff_1d_mp4_icon.jpeg}}
% \end{center}
%
%OVDE
%\vspace*{-2mm}
\begin{center}
\hspace*{-15mm}
%
\movie[label=show3,width=6.0cm,poster,autostart,showcontrols]
{\includegraphics[width=50mm]{BJicon.png}}{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/movie01.mp4}
%
\movie[label=show3,width=6.0cm,poster,autostart,showcontrols]
{\includegraphics[width=50mm]{BJicon.png}}{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/movie04.mp4}
\hspace*{-15mm}
%
\end{center}
\vspace*{-5mm}
%
%
\begin{flushleft}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Layered_and_Dyke/Layered_850_ff.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
%
\hspace*{55mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Layered_and_Dyke/Layered_2500_ff.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
% \begin{flushleft}
% \vspace*{-15mm}
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% % \href{./homo_50m-mesh_45degree_Ormsby.mp4}
% {\tiny (MP4)}
% \end{flushleft}
% %
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Dyke/Sill Intrusion, Variable Source Depth}
%
% \begin{itemize}
%
% \item Lower amplitudes than with layered only model!
%
% \item Difference in body and surface wave arrivals
%
% \item Surface waves present
%
% \end{itemize}
%
%
%
% \begin{figure}[!hbpt]
% \begin{center}
% %
% \hspace*{-5mm}
% %\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_right/bh_x_output_z850_dip45_gaussx4750.png}
% \includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_right/borehole_ux_gauss_x5000.png}
% \includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_right/borehole_uz_gauss_x5000.png}
% %\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_right/bh_x_output_z850_dip45_gaussx5250.png}
% %
% \end{center}
% \end{figure}
%
% \end{frame}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Dyke/Sill Intrusion, Variable Source Depth}
\vspace*{5mm}
\begin{itemize}
\item Lower amplitudes than with layered only model!
\item Difference in body and surface wave arrivals
\item Surface waves present, more complicated wave field
% \item Incoherent motion field
%
% \item Note incoherence is in 2D (and really in 3D, it is reduced, for this model)
\end{itemize}
\vspace*{-5mm}
\begin{figure}[!hbpt]
\begin{center}
%
\includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_right/cut_output_z850_dip45_gauss.png}
\includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_right/cut_output_z2500_dip45_gauss.png}
%
\end{center}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Dyke/Sill Intrusion, Variable Source Depth}
%
% \begin{center}
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% {\includegraphics[width=50mm]{movie_ff_3d_mp4_icon.jpeg}}
% %
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_1d.mp4}
% {\includegraphics[width=50mm]{movie_ff_1d_mp4_icon.jpeg}}
% \end{center}
%
%\vspace*{-2mm}
\begin{center}
\hspace*{-15mm}
%
\movie[label=show3,width=6.0cm,poster,autostart,showcontrols]
{\includegraphics[width=50mm]{BJicon.png}}{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/movie02.mp4}
%
\movie[label=show3,width=6.0cm,poster,autostart,showcontrols]
{\includegraphics[width=50mm]{BJicon.png}}{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/movie03.mp4}
\hspace*{-15mm}
%
\end{center}
\vspace*{-5mm}
%
\begin{flushleft}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Layered_and_Dyke/Dyke_850_ff.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
%
\hspace*{55mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Layered_and_Dyke/Dyke_2500_ff.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
% \begin{flushleft}
% \vspace*{-15mm}
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% % \href{./homo_50m-mesh_45degree_Ormsby.mp4}
% {\tiny (MP4)}
% \end{flushleft}
% %
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Dyke/Sill as Seismic Energy Sink}
\vspace*{2mm}
\begin{itemize}
\item Dyke/Sill (right Fig), made of stiff rock, is an energy sink, as well as energy
reflector
\item Variable wave lengths behave differently, depending on dyke/sill geometry
and location
\end{itemize}
\vspace*{-5mm}
\begin{figure}[!hbpt]
\begin{center}
%
\includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_no/cut_output_z2500_dip45_gauss.png}
\includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_right/cut_output_z2500_dip45_gauss.png}
%
\end{center}
\end{figure}
\end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \begin{frame}
% \frametitle{Importance of Realistic Seismic Motion Fields}
%
%
% \begin{itemize}
%
% \item Developed synthetic (!) free field motions need to excite a number of
% (all!) possible responses from a nuclear facility
%
% \vspace*{3mm}
% \item Knowledge of detailed geology is needed, geometry and material
% properties, including inelasticity of shallow layers
%
%
% \vspace*{3mm}
% \item Reduction of modeling uncertainty
%
% \vspace*{3mm}
% \item Direct use for Realistic ESSI simulations
%
%
%
%
% \end{itemize}
%
%
% \end{frame}
%
%
% %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{6D vs 1D NPP ESSI Response Comparison}
%
%
% \vspace*{-2mm}
% \begin{center}
% \hspace*{-7mm}
% \movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
% {\includegraphics[width=69mm]{BJicon.png}}
% {movie_2_npps.mp4}
% \end{center}
%
%
% \begin{flushleft}
% \vspace*{-15mm}
% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_2_npps.mp4}
% {\tiny (MP4)}
% \end{flushleft}
% %
%
%
%
% \end{frame}
%
%
%
%
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Solid/Structure-Fluid Interaction: gmFoam}
% \begin{columns}[T]
% \begin{column}{.6\textwidth}
% \begin{itemize}
% % \vspace{-0.4cm}
% \item[] Mesh separation
% \begin{itemize}
% \item[] integrated geometry model %(solid \& fluid) based on gmsh
% \item[] FEM \& FVM mesh conversion
% \item[] handle discontinuous mesh
% \end{itemize}
% \item[] Incorporate gmESSI
% % \begin{itemize}
% % \item[] conveniently set BCs
% % \item[] input files easy generation
% % \end{itemize}
% \item[] Interface geometry extraction
%
% \item[] Interface class \textbf{SSFI} in RealESSI
% % \begin{itemize}
% % \item[] interface geometrical mapping
% % \item[] handle different mesh size
% % \item[] BCs interpolation \& updating
% % \item[] boundary mass conservation iteration
% % \end{itemize}
% \item[] RealESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam
% % \item[] Shepherd method
% % \begin{itemize}
% % \item[] RealESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam
% % \item[] explicit transient algorithm
% % \item[] handle different time step length
% % \end{itemize}
%
%
% \end{itemize}
% \vspace{0.2cm}
% % \scriptsize gmFoam: https://github.com/hexiang6666/gmFoam
% \end{column}
% \begin{column}{.4\textwidth}
% \vspace{-1cm}
% \begin{figure}[!H]
% \begin{center}
% \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_08June2017/pic/gmFoam.pdf}
% \end{center}
% \end{figure}
% \end{column}
% \end{columns}
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% % \begin{frame}
% % \frametitle{Semi-Coupled Solid Fluid Interaction}
% % \begin{itemize}
% % \item[] Utilize VOF implemented in interFoam
% % \setbeamertemplate{itemize items}[circle]
% % \begin{itemize}
% % \item[] avoid tracking free surface
% % \item[] relatively fixed BCs
% % \item[] relatively fixed background mesh
% % \end{itemize}
% % \end{itemize}
% % \vspace{-0.3cm}
% % \begin{itemize}
% % \item[] Interface class \textbf{SSFI} added in RealESSI
% % \setbeamertemplate{itemize items}[circle]
% % \begin{itemize}
% % \item[] interface geometrical mapping
% % \item[] handle different mesh size
% % \item[] BCs interpolation \& updating
% % \item[] boundary mass conservation iteration
% % \end{itemize}
% % \end{itemize}
% % \vspace{-0.3cm}
% % \begin{itemize}
% % \item[] Shepherd method
% % \setbeamertemplate{itemize items}[circle]
% % \begin{itemize}
% % \item[] RealESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ InterFoam
% % \item[] explicit transient algorithm
% % \item[] handle different time step length
% % \end{itemize}
% % \end{itemize}
% %
% % \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% % \begin{frame}
% % \frametitle{Semi-Coupled Solid Fluid Interaction}
% % Implemented in RealESSI based on explicit transient algorithm
% % \begin{figure}[!H]
% % \begin{center}
% % \includegraphics[width=.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_08June2017/pic/No_SSFI.pdf}\enspace
% % \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_08June2017/pic/SSFI.pdf}\enspace
% % \end{center}
% % \end{figure}
% % \quad \href{http://cml08.engr.ucdavis.edu/for_professor/fluid_model_simulation.mp4}{Water Break without SFI}\quad \quad \quad \quad \quad \href{http://cml08.engr.ucdavis.edu/for_professor/Solid_Fluid_Interaction.mp4}{Box Sloshing with SFI}
% % \end{frame}
% %
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \begin{frame}
% \frametitle{Solid/Structure-Fluid Interaction, Example}
%
%
%
% %\vspace*{-5mm}
% \begin{center}
% % \hspace*{-15mm}
% \movie[label=show3,width=9cm,poster,autostart,showcontrols]
% {\includegraphics[width=8.5cm]
% {/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/Solid-Fluid-Interaction.jpg}}
% {Solid_Fluid_Interaction.mp4}
% \end{center}
%
%
%
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{frame}
% % \frametitle{NQA-11}
% %
% %
% %
% % \end{frame}
% %
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{frame}
% % \frametitle{ISO 90003}
% %
% %
% %
% % \end{frame}
% %
% %
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Energy Dissipation}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Inelasticity and Energy Dissipation}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Energy Dissipation}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Energy Input and Dissipation}
\begin{itemize}
\vspace*{1mm}
\item[] Energy input, dynamic forcing
\vspace*{4mm}
\item[] Mechanical dissipation outside SSI domain:
\begin{itemize}
\item[] SSI system oscillation radiation
\item[] Reflected wave radiation
\end{itemize}
%\vspace*{1mm}
\item[] Mechanical dissipation/conversion inside SSI domain:
\begin{itemize}
\item[] Inelasticity of soil and contact zone
\item[] Inelasticity/damage of structure and foundation
\item[] Viscous coupling of porous solid and pore fluids (soil)
\item[] Viscous coupling of structures with fluids
% % \item[] potential and kinetic energy
% \item[] potential $\leftarrow \! \! \! \! \! \! \rightarrow$ kinetic energy
\end{itemize}
%\vspace*{1mm}
% \item[] Numerical energy dissipation (numerical damping/production and period errors)
% \item[] Numerical energy dissipation (damping/production)
\item[] Numerical energy dissipation/production
\end{itemize}
%
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Fully Coupled Formulation, u-p-U}
%
%
\begin{small}
\begin{eqnarray}
\hspace*{-13mm}
\left[ \begin{array}{ccc}
(M_s)_{KijL} & 0 & 0 \\
0 & 0 & 0 \\
0 & 0 & (M_f)_{KijL}
\end{array} \right]
\left[ \begin{array}{c}
\ddot{\overline{u}}_{Lj} \\
\ddot{\overline{p}}_N \\
\ddot{\overline{U}}_{Lj}
\end{array} \right]
+
\left[ \begin{array}{ccc}
(C_1)_{KijL} & 0 & -(C_2)_{KijL} \\
0 & 0 & 0 \\
-(C_2)_{LjiK} & 0 & (C_3)_{KijL} \\
\end{array} \right]
\left[ \begin{array}{c}
\dot{\overline{u}}_{Lj} \\
\dot{\overline{p}}_N \\
\dot{\overline{U}}_{Lj}
\end{array} \right]
\nonumber
\\
+
\left[ \begin{array}{ccc}
(K^{EP})_{KijL} & -(G_1)_{KiM} & 0 \\
-(G_1)_{LjM} & -P_{MN} & -(G_2)_{LjM} \\
0 & -(G_2)_{KiL} & 0
\end{array} \right]
\left[ \begin{array}{c}
\overline{u}_{Lj} \\
\overline{p}_M \\
\overline{U}_{Lj}
\end{array} \right]
=
\left[ \begin{array}{c}
\overline{f}_{Ki}^{solid} \\
0 \\
\overline{f}_{Ki}^{fluid}
\end{array} \right] \nonumber
%\\
%\label{68}
\end{eqnarray}
\end{small}
%
%
%
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Fully Coupled Formulation, u-p-U}
%
%
%
%
%
\begin{eqnarray}
\hspace*{-10mm} (M_s)_{KijL}&=&\int_{\Omega} H_K^u (1-n) \rho_s \delta_{ij} H_L^u d\Omega
\hspace*{5mm} (M_f)_{KijL}=\int_{\Omega} H_K^U n \rho_f \delta_{ij} H_L^U d\Omega \nonumber\\
\hspace*{-10mm} (C_1)_{KijL}&=&\int_{\Omega} H_K^u n^2 k_{ij}^{-1} H_L^u d\Omega
\hspace*{5mm} (C_2)_{KijL}=\int_{\Omega} H_K^u n^2 k_{ij}^{-1} H_L^U d\Omega \nonumber\\
\hspace*{-10mm} (C_3)_{KijL}&=&\int_{\Omega} H_K^U n^2 k_{ij}^{-1} H_L^U d\Omega
\hspace*{5mm} (K^{EP})_{KijL}=\int_{\Omega} H_{K,m}^u D_{imjn} H_{L,n}^u d\Omega \nonumber\\
\hspace*{-10mm} (G_1)_{KiM}&=&\int_{\Omega} H_{K,i}^u (\alpha-n) H_M^p d\Omega
\hspace*{5mm} (G_2)_{KiM}=\int_{\Omega} n H_{K,i}^U H_M^p d\Omega \nonumber\\
\hspace*{-10mm} P_{NM}&=&\int_{\Omega} H_N^p \frac{1}{Q} H_M^p d\Omega \nonumber
\end{eqnarray}
%
%
%
%
%\newpage
% \begin{eqnarray}
% \overline{f}_{Ki}^{solid}&=&(f_1^u)_{Ki}-(f_4^u)_{Ki}+(f_5^u)_{Ki} \nonumber\\
% \overline{f}_{Ki}^{fluid}&=&-(f_1^U)_{Ki}+(f_2^U)_{Ki} \nonumber\\
% (f_1^u)_{Ki}&=&\int_{\Gamma_t} H_K^u n_j \sigma_{ij}^{''} d\Gamma \nonumber\\
% (f_4^u)_{Ki}&=&\int_{\Gamma_p} H_K^u (\alpha-n) n_i p d\Gamma \nonumber\\
% (f_5^u)_{Ki}&=&\int_{\Omega} H_K^u (1-n) \rho_s b_i d\Omega \nonumber\\
% (f_1^U)_{Ki}&=&\int_{\Gamma_p} n H_K^U n_i p d\Gamma \nonumber\\
% (f_2^U)_{Ki}&=&\int_{\Omega} n H_K^U \rho_f b_i d\Omega
% \label{69}
% \end{eqnarray}
%
%
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Energy Dissipation Control Mechanisms}
\begin{figure}[!H]
%\hspace*{-10mm}
\includegraphics[width=3.4cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_Newmark.pdf}
\includegraphics[width=3.4cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_Rayleigh.pdf}
\includegraphics[width=3.4cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_plasticity.pdf}
\end{figure}
\hspace*{10mm} Numerical \hspace*{20mm} Viscous \hspace*{20mm} Plasticity
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Energy Dissipation Control}
\begin{figure}[!H]
%\hspace*{-10mm}
% \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_a.pdf}
% \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_b.pdf}
\includegraphics[width=9cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_g.pdf}
% \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_e.pdf}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Incremental Plastic Work: $d W_p = \sigma_{ij} \, d\epsilon_{ij}^{pl}$}
\begin{itemize}
\item Negative incremental energy dissipation
\item Plastic work is NOT plastic dissipation
\end{itemize}
\begin{figure}[!H]
\begin{center}
\includegraphics[height=5.0cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Negative_Dissipation_Problem.png}
\end{center}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Negative incremental energy dissipation!}
%
% \begin{itemize}
% \item Direct violation of the second law of thermodynamics
% \item Where is the problem?
% \item[]
% \item[]
% \end{itemize}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Negative incremental energy dissipation!}
%
% \begin{itemize}
% \item Direct violation of the second law of thermodynamics
% \item Where is the problem?
% \item One important form of energy is missing!
% \item \textbf{Plastic Free Energy}
% \end{itemize}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% % \subsection{Thermodynamics-Based Theory and Formulation}
% %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Plastic Free Energy}
%
% \begin{itemize}
% \item Direct violation of the second law of thermodynamics
% % \item Where is the problem?
% \item Missing is the plastic free energy
%
%
% \item Multi-scale effect of particle interlocking/rearrangement
% \item Strain energy on particle level
% \end{itemize}
%
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=7truecm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Plastic_Free_Energy.png}
% \end{center}
% \end{figure}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%f%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Energy Transformation in Elastic-Plastic Material}
%
% \begin{figure}[!H]
% \begin{center}
% \includegraphics[height=6cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Energy_Transformation.png}
% \end{center}
% \end{figure}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Traditional Energy Components}
%
% \begin{itemize}
% \item Kinetic Energy Density:
% \begin{equation*}
% d E_K({x},t) = \rho({x}) \, v_i({x}, t) \, d v_i({x}, t)
% \end{equation*}
%
% \item Strain Energy Density:
% \begin{equation*}
% d E_S({x},t) = \sigma_{ij}({x},t) \, d \epsilon_{ij}^{el}({x}, t)
% \end{equation*}
%
% \vspace*{1mm}
%
% \item Plastic Work Density:
% \begin{equation*}
% d W_P(x,t) = \sigma_{ij}(x,t) \, d \epsilon_{ij}^{pl}(x, t)
% \end{equation*}
% \end{itemize}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Plastic Free Energy and Dissipation}
%
% \begin{itemize}
% \item Free Energy
% \begin{itemize}
% \item Based on the second law of thermodynamics
% \item Decomposed into elastic and plastic components
% \end{itemize}
%
% \item Plastic Free Energy
% \begin{itemize}
% \item Decomposed into isotropic and kinematic components
% \item Related to hardening laws in classic plasticity theory
% \item Related to material state variables (back stress etc.)
% \end{itemize}
% \begin{equation*}
% d\Psi_{pl}^{iso} = \frac{1}{\kappa_1} k \, dk; \quad d\Psi_{pl}^{kin} = \frac{1}{a_1} \alpha_{ij} \, d \alpha_{ij}
% \end{equation*}
%
% \item Energy Dissipation due to Plasticity
% \begin{itemize}
% \item Incremental dissipation should always be nonnegative
% \end{itemize}
% \begin{equation*}
% d D_P = d W_P - d\Psi_{pl} = \sigma_{ij} \, d \epsilon^{pl}_{ij} - d\Psi_{pl} \ge 0
% \end{equation*}
% \end{itemize}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Use Incremental Equation: $d\Phi = \sigma_{ij} \, d\epsilon_{ij}^{pl}$}
%
% \begin{itemize}
% \item \textbf{Plastic Work} vs. \textbf{Energy Dissipation due to Plasticity}
% \end{itemize}
%
% \begin{figure}[!H]
% \begin{center}
% \includegraphics[height=5.5cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Negative_Dissipation_Problem2.png}
% \end{center}
% \end{figure}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
%
%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %\begin{frame}
% % %
% % %\frametitle{Area of Hysteresis Loop}
% % %
% % %\begin{figure}[!H]
% % %\begin{center}
% % %\includegraphics[height=6cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Stress-Strain.png}
% % %\end{center}
% % %\end{figure}
% % %
% % %\end{frame}
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %\begin{frame}
% % %
% % %\frametitle{Area of Hysteresis Loop}
% % %
% % %\begin{figure}[!H]
% % %\begin{center}
% % %\includegraphics[height=6cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Stress-Strain-Dissipation.png}
% % %\end{center}
% % %\end{figure}
% % %
% % %\end{frame}
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %\begin{frame}
% % %
% % %\frametitle{Area of the Stress-Strain Loop}
% % %
% % %\begin{itemize}
% % %\item[] Evolving loop? Monotonic loading?
% % %\end{itemize}
% % %
% % %\begin{figure}[!H]
% % %\begin{center}
% % %\includegraphics[height=5.5cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Stress-Strain-Monotonic.png}
% % %\end{center}
% % %\end{figure}
% % %
% % %\end{frame}
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %\begin{frame}
% %
% %\frametitle{Use Incremental Equation: $\sigma_{ij} \, d\epsilon_{ij}^{pl}$}
% %
% %\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{frame}
% %
% % \frametitle{Use Incremental Equation: $d\Phi = \sigma_{ij} \, d\epsilon_{ij}^{pl}$}
% %
% %
% % \end{frame}
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{frame}
% %
% % \frametitle{Use Incremental Equation: $d\Phi = \sigma_{ij} \, d\epsilon_{ij}^{pl}$}
% %
% % \begin{itemize}
% % \item[] Notice any problem?
% % \end{itemize}
% %
% % \begin{figure}[!H]
% % \begin{center}
% % \includegraphics[height=5.5cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Negative_Dissipation.png}
% % \end{center}
% % \end{figure}
% %
% % \end{frame}
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Incremental Equation: $d W = \sigma_{ij} \, d\epsilon_{ij}^{pl}$}
%
% \begin{itemize}
% \item[] PROBLEM: negative incremental energy dissipation!
% \item[] 600 papers since 1990 (!?!): \\
%
% \end{itemize}
%
% \begin{figure}[!H]
% \begin{center}
% \includegraphics[height=5cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Negative_Dissipation_Problem2.png}
% \end{center}
% \end{figure}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{frame}
% %
% % \frametitle{Negative incremental energy dissipation!}
% %
% % \begin{itemize}
% % \item[] Direct violation of the second law of thermodynamics
% % \item[] Where is the problem?
% % \item[]
% % \item[]
% % \end{itemize}
% %
% % \end{frame}
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Negative Incremental Energy Dissipation!}
\begin{itemize}
\item[] Direct violation of the second law of thermodynamics
\vspace*{3mm}
\item[] 600 papers since 1990 (!?!) repeat this error
\vspace*{3mm}
\item[] Important form of energy missing: {Plastic Free Energy}
\vspace*{3mm}
\item[] First described by Taylor and Quinney in 1925 and then 1934!
\vspace*{3mm}
\item[] Plastic Work vs. {Plastic Energy Dissipation}
%\vspace*{4mm}
%\item[] However it seems to be forgotten
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Energy Dissipation on Material Level}
\vspace*{2mm}
Single elastic-plastic element under cyclic shear loading
\begin{itemize}
\item[] Difference between plastic work and dissipation
\item[] Plastic work can decrease, dissipation always increases
\end{itemize}
\vspace*{-7mm}
\begin{figure}[!hbpt]
\begin{center}
\hspace*{-5mm}
\includegraphics[width=12.0truecm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Dissipation_Material.png}
\end{center}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Energy Dissipation for Soil Structure Systems}
Examples of energy dissipation for buildings (nuclear power plants and small
modular reactors) are given in section on ESSI modeling and simulation.
%
% Elastoplastic soil with contact elements
% % Both solid and contact elements dissipate energy
%
% % \vspace*{-5mm}
% \begin{center}
% % \hspace*{-15mm}
% \movie[label=show3,width=7cm,poster,autostart,showcontrols]
% {\includegraphics[width=7cm]
% {/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/NPP_Plastic_Dissipation_Density.png}}
% {/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/NPP_with_Contact_vonMises.mp4}
% \end{center}
%
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Energy Dissipation in Large-Scale Model (SMR)}
%
% %
% % Some notes:
% % Energy density curves at the corner of the structure (as indicated in the picture of NPP model).
% % Can see large amount of energy dissipated in both soil and contact elements.
% % An arc-shaped area of "elastic zone" formed beneath the structure, where soil strength can be better utilized.
% %
%
% \vspace*{-2mm}
% \begin{figure}[!hbpt]
% \begin{center}
% % \hspace*{-7mm}
% \includegraphics[width=8truecm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/SMR_Energy_Dissipation_Curve.pdf}
% \end{center}
% \end{figure}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Energy Dissipation in Large-Scale Model (SMR)}
%
% Elastoplastic soil without contact elements
% % Only solid elements dissipate energy
%
% % \vspace*{-5mm}
% \begin{center}
% % \hspace*{-15mm}
% \movie[label=show3,width=9cm,poster,autostart,showcontrols]
% {\includegraphics[width=9cm]
% {/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/SMR_Plastic_Dissipation_Density.png}}
% {/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/SMR_without_Contact_vonMises.mp4}
% \end{center}
%
%
% \end{frame}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\begin{frame}
% -\frametitle{Quality Assurance}
% -
% -\begin{itemize}
% -
% -\item[] Full verification suit for each element, model, algorithm
% -
% -\vspace*{4mm}
% -\item[] Certification process in progress for NQA-1 and ISO-90003-2014
% -
% -%\vspace*{3mm}
% -%\item[] Verification examples given below
% -
% -\end{itemize}
% -
% -
% -
% -
% -\end{frame}
% -
% -
% -
% -%-------------------------------------------------------
% -\begin{frame}{High Fidelity (Parametric, Geometric and Algorithmic)}
% -
% -\begin{figure}
% -\includegraphics[width=0.95\textwidth]{/home/jeremic/tex/works/Thesis/YuanFeng/Files_06June2017/latex_slides/Figure-files/verification/asymptotic_converge.png}
% -\end{figure}
% -\end{frame}
% -
% -% \begin{frame}{One of Verification Techniques}
% -% Richardson Extrapolation
% -% \begin{itemize}
% -% \item[] Stress solution with the strain increment size as:
% -% \begin{equation}
% -% \sigma(d\epsilon) = \sigma^* + C d\epsilon^{\beta} + O(d\epsilon^{\beta+1})
% -% \end{equation}
% -% where $\sigma^*$ is the accurate result.
% -%
% -% \item[] Richardson extrapolation is defined as
% -% \begin{equation}
% -% \begin{aligned}
% -% R(d\epsilon, k) & = \frac{k^{\beta}\sigma(d\epsilon) - \sigma(k d\epsilon) } { k^{\beta} - 1} \\
% -% & = \frac{k^{\beta}
% -% \left(\sigma^* + C d\epsilon^{\beta} + O(d\epsilon^{\beta+1}) \right) }
% -% { k^{\beta} - 1}
% -% -
% -% \frac{\sigma^* + C k^{\beta} d\epsilon^{\beta} + O(d\epsilon^{\beta+1}) }
% -% { k^{\beta} - 1} \\
% -% & = \sigma^* + O (d\epsilon^{\beta + 1})
% -% \end{aligned}
% -% \end{equation}
% -% % The higher order error is cancelled out.
% -% \end{itemize}
% -% \end{frame}
% -%
% -%
% -%
% -%
% -%
% -
% -
% -
% -
% -%-------------------------------------------------------
% -\begin{frame}{Verification of Elastoplastic Algorithms}
% -Comparison between forward and backward Euler algorithms.
% -\begin{figure}
% -\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/YuanFeng/Files_06June2017/latex_slides/Figure-files/verification/NonAssociate.pdf}
% -\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/YuanFeng/Files_06June2017/latex_slides/Figure-files/verification/verification_example.png}
% -\end{figure}
% -\end{frame}
% -
% -
% -
% -
% -
% -
% -
% -
% -
% -
% -
% -
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\subsection{Inelastic Response}
% -
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\begin{frame}
% -\frametitle{Soil Inelastic Response}
% -
% -
% -A number of new models have been implemented and verified:
% -
% -
% -\begin{itemize}
% -
% -
% -\item[] Nested Surface Models (von Mises, Drucker-Prager, rounded Mohr-Coulomb)
% -
% -\vspace*{2mm}
% -\item[] PM4 model (2D/3D)
% -
% -\vspace*{2mm}
% -\item[] Bounding Surface Liquefaction (Tsinghua) Model
% -
% -\vspace*{2mm}
% -\item[] Concrete01 and Concrete02 fiber models (for nonlinear fiber beam and wall element)
% -
% -\vspace*{2mm}
% -\item[] Steel01 and Steel02 fiber models (for nonlinear fiber beam and wall element)
% -
% -
% -\end{itemize}
% -
% -\end{frame}
% -
% -
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\begin{frame}
% -\frametitle{Partially Saturated Soil Modeling: Verification}
% -
% -%\vspace*{-5mm}
% -\begin{figure}[!hbpt]
% -\begin{center}
% -%\hspace*{-10mm}
% -\includegraphics[width=11truecm]{/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/upU_unsatruated_verification.jpg}
% -\end{center}
% -\end{figure}
% -
% -
% -\end{frame}
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\begin{frame}
% -\frametitle{Partially Saturated Soil Modeling: Validation}
% -
% -%\vspace*{-5mm}
% -\begin{figure}[!hbpt]
% -\begin{center}
% -%\hspace*{-10mm}
% -\includegraphics[width=11truecm]{/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/upU_unsatruated_validation.jpg}
% -\end{center}
% -\end{figure}
% -
% -
% -\end{frame}
% -
% -
% -
% -% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -% \begin{frame}
% -% \frametitle{Structural Inelastic Response}
% -%
% -%
% -%
% -% \end{frame}
% -
% -
% -% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -% %\begin{frame}
% -% %\frametitle{Dry Contact (Soil-Structure) Inelastic Response}
% -% %
% -% %
% -% %
% -% %\end{frame}
% -% %
% -
% -% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -% \begin{frame}
% -% \frametitle{Contact Modeling}
% -%
% -%
% -% \begin{itemize}
% -%
% -% \item[] Soft contact, concrete to soil
% -%
% -% \hspace*{3mm}
% -% \item[] Hard contact, concrete to rock/concrete
% -%
% -% \hspace*{3mm}
% -% \item[] Dry contact,
% -%
% -%
% -% \hspace*{3mm}
% -% \item[] Saturated contacts, effective contact force/stress
% -%
% -%
% -% \hspace*{3mm}
% -% \item[] Buoyant force (dynamic) modeling
% -%
% -%
% -% \end{itemize}
% -%
% -%
% -% \end{frame}
% -% %
% -
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\begin{frame}
% -\frametitle{Saturated Contact}
% -
% -
% -%\vspace*{-5mm}
% -\begin{figure}[!hbpt]
% -\begin{center}
% -%\hspace*{-10mm}
% -\includegraphics[width=9truecm]{/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/coupled_contact_schematics.jpg}
% -\end{center}
% -\end{figure}
% -
% -
% -
% -\end{frame}
% -
% -
% -
% -
% -
% -
% -
% -
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Probabilistic Inelastic Modeling}
\begin{frame}
\frametitle{Parametric Uncertainty: Material and Loads}
\begin{itemize}
\item Significant uncertainty in material and loads
%\vspace*{1mm}
\item Propagate uncertainties in space and time
\end{itemize}
%
%\vspace{1cm}
%\hspace{-0.5cm}
%Example: Elastic Stiffness
%\vspace*{-3mm}
\begin{figure}[!hbpt]
\begin{center}
%
\hspace*{-7mm}
\includegraphics[width=7.0truecm]{/home/jeremic/tex/works/Papers/2008/JGGE-GoverGmax/figures/YoungModulus_RawData_and_MeanTrend_01-Ed.pdf}
% \hfill
\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Papers/2008/JGGE-GoverGmax/figures/YoungModulus_Histogram_Normal_01-Ed.pdf}
%
\end{center}
\end{figure}
\vspace*{-0.8cm}
%\hspace*{-3.3cm}
\begin{flushleft}
{\tiny
Transformation of SPT $N$-value:
1-D Young's modulus, $E$
(cf. Phoon and Kulhawy (1999B))
~}
\end{flushleft}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Stochastic Elastic-Plastic Finite Element Method (SEPFEM)}
\begin{itemize}
\item[] Material uncertainty expanded along stochastic shape functions:
$D(x,t,\theta) = \sum_{i=0}^{P_d} r_i(x,t) * \Phi_i[\{\xi_1, ..., \xi_m\}]$
\vspace*{4mm}
\item[] Loading uncertainty expanded along stochastic shape functions:
$f(x,t,\theta) = \sum_{i=0}^{P_f} f_i(x,t) * \zeta_i[\{\xi_{m+1}, ..., \xi_f]$
\vspace*{4mm}
\item[] Displacement expanded along stochastic shape functions:
$u(x,t,\theta) = \sum_{i=0}^{P_u} u_i(x,t) * \Psi_i[\{\xi_1, ..., \xi_m, \xi_{m+1}, ..., \xi_f\}]$
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{SEPFEM : Formulation}
Stochastic system of equation resulting from Galerkin approach
\begin{tiny}
\[
\begin{bmatrix}
\sum_{k=0}^{P_d} <\Phi_k \Psi_0 \Psi_0> K^{(k)} & \dots & \sum_{k=0}^{P_d} <\Phi_k \Psi_P \Psi_0> K^{(k)}\\
\sum_{k=0}^{P_d} <\Phi_k \Psi_0 \Psi_1> K^{(k)} & \dots & \sum_{k=0}^{P_d} <\Phi_k \Psi_P \Psi_1> K^{(k)}\\ \\
\vdots & \vdots & \vdots & \vdots\\
\sum_{k=0}^{P_d} <\Phi_k \Psi_0 \Psi_P> K^{(k)} & \dots & \sum_{k=0}^{M} <\Phi_k \Psi_P \Psi_P> K^{(k)}
\end{bmatrix}
\begin{bmatrix}
u_{10} \\
\vdots \\
u_{N0}\\
\vdots \\
u_{1P_u}\\
\vdots \\
u_{NP_u}
\end{bmatrix}
=
%\]
%\[
\begin{bmatrix}
\sum_{i=0}^{P_f} f_i <\Psi_0\zeta_i> \\
\sum_{i=0}^{P_f} f_i <\Psi_1\zeta_i> \\
\sum_{i=0}^{P_f} f_i <\Psi_2\zeta_i> \\
\vdots \\
\sum_{i=0}^{P_f} f_i <\Psi_{P_u}\zeta_i>\\
\end{bmatrix}
\]
\end{tiny}
% \normalsize{Typical number of terms required for a SEPFEM problem} \vspace{1cm}\\
\scalebox{0.7}{
\begin{tabular}{ c c c c}
\# KL terms material & \# KL terms load & PC order displacement& Total \# terms per DoF\\ \hline
4 & 4 & 10 & 43758 \\
4 & 4 & 20 & 3 108 105 \\
4 & 4 & 30 & 48 903 492 \\
6 & 6 & 10 & 646 646 \\
6 & 6 & 20 & 225 792 840 \\
6 & 6 & 30 & 1.1058 $10^{10}$ \\
% 8 & 8 & 10 & 5 311 735 \\
% 8 & 8 & 20 & 7.3079 $10^{9}$ \\
% 8 & 8 & 30 & 9.9149 $10^{11}$\\
... & ... & ... & ...\\ \hline
\end{tabular}}
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % % % % % % % % % % % % % % % %
% \begin{frame}
% \frametitle{SEPFEM : Formulation}
%
%
% \begin{center}
%
% \normalsize{Typical number of terms required for a SEPFEM problem} \vspace{1cm}\\
% \scalebox{0.7}{
% \begin{tabular}{ c c c c}
% No KL terms material & No KL terms load & PC order displacement& Total no terms disp\\ \hline
% 4 & 4 & 10 & 43758 \\
% 4 & 4 & 20 & 3108105 \\
% 4 & 4 & 30 & 48 903 492 \\
% 6 & 6 & 10 & 646 646 \\
% 6 & 6 & 20 & 225 792 840 \\
% 6 & 6 & 30 & 1.1058 $10^{10}$ \\
% 8 & 8 & 10 & 5 311 735 \\
% 8 & 8 & 20 & 7.3079 $10^{9}$ \\
% 8 & 8 & 30 & 9.9149 $10^{11}$\\
%
% ... & ... & ... & ...\\ \hline
% \end{tabular}}
% \\
%
% \end{center}
%
% \end{frame}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{SEPFEM : Probabilistic Elastic-Plastic Modeling}
% % \vspace*{-5mm}
% \begin{center}
% % \hspace*{-15mm}
% \movie[label=show3,width=7cm,poster,autostart,showcontrols]
% {\includegraphics[width=7cm]
% {/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/NPP_Plastic_Dissipation_Density.png}}
% %{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/NPP_without_Contact_vonMises.mp4}
% {NPP_without_Contact_vonMises.mp4}
% \end{center}
%\vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=9cm,poster,autostart,showcontrols]
{\includegraphics[width=9cm]
{/home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Latex/img/figure_PEP_25.png}}
% /home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Latex/img/figure_PEP_25.pdf
%{/home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Animations/PEP_Animation.mp4}
{PEP_Animation.mp4}
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Probabilistic_Elasto_Plasticity_and_Stochastic_Elastic_Plastic_Finite_Element_Method/PEP_Animation.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
%
% \includegraphics[width = 12cm]{./img/figure_PEP_25.pdf}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{SEPFEM : Example in 1D}
\vspace*{-2mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=9cm,poster,autostart,showcontrols]
{\includegraphics[width=9cm]{/home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Latex/img/figure_elastic_900.png}}
% /home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Latex/img/figure_PEP_25.pdf
%{/home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Animations/SEPFEM_Animation_Elastic.mp4}
{SEPFEM_Animation_Elastic.mp4}
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Probabilistic_Elasto_Plasticity_and_Stochastic_Elastic_Plastic_Finite_Element_Method/SEPFEM_Animation_Elastic.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
% \includegraphics[width = 12cm]{./img/figure_elastic_900.pdf}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{SEPFEM : Example in 3D}
%\vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=10cm,poster,autostart,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Latex/img/SFEM_3D.png}}
% /home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Latex/img/figure_PEP_25.pdf
{SFEM_Animation_3D.mp4}
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Probabilistic_Elasto_Plasticity_and_Stochastic_Elastic_Plastic_Finite_Element_Method/SFEM_Animation_3D.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
% \includegraphics[width = 12cm]{./img/SFEM_3D.pdf}
\end{frame}
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\section{ESSI Modeling and Simulations}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Nuclear Power Plant Modeling and Simulation}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Modeling Sophistication Levels, Phased Modeling}
\begin{itemize}
\item Level of sophistication chosen to reduce modeling uncertainty
\vspace*{2mm}
\item Verify code, solutions, methods, elements, material models
\vspace*{2mm}
\item Verify model components
\vspace*{2mm}
\item Model developed in phases (components) and verified
\vspace*{2mm}
\item Gradually building confidence in inelastic modeling
\vspace*{2mm}
\item Use such developed models to predict and inform, rather than force fit
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Model Verification and Modeling Phases}
\begin{figure}[htbp]
\begin{center}
\includegraphics[width = 2.3cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-structure/overview.png}
\vspace*{-1mm}
\\
\includegraphics[width = 0.35cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/free_field_1D/DRM_1D_motion_3D_just_column.jpg}
\hspace*{5mm}
% \includegraphics[width = 0.1cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/free_field_1D/DRM1D_Motion3D.png}
\includegraphics[width = 2.5cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/free_field_3D/motion3D_DRM3D_free_field.png}
\hspace*{5mm}
% \includegraphics[width = 1cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-foundation/soil_foundation.png}
% \includegraphics[width = 3cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-foundation/slice.png}
\includegraphics[width = 2.5cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-foundation/foundation_results.png}
% \includegraphics[width = 3cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-structure/overview.png}
\\
\includegraphics[width = 1.0cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/structure-only.png}
\hfill
\includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen1.png}
\hfill
\includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen2.png}
\hfill
\includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen3.png}
\hfill
\includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen4.png}
\hfill
\includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen5.png}
\hfill
\includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/eigen/eigen6.png}
\hfill
% \includegraphics[width = 1.0cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/imposed_motion/structure-only.png}
%\hfill
\includegraphics[width = 1.2cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/structure/imposed_motion/imposed_motion_results.png}
% \includegraphics[width = 0.1cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-structure/overview.png}
\\
\vspace*{-1mm}
\includegraphics[width = 4cm]{/home/jeremic/tex/works/Thesis/YuanFeng/Real_ESSI_short_course_examples_day_123/short_course_document/Figure-files/nonlinear_analysis_steps/soil-structure/DRM3D_motion3D_structure.png}
\end{center}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Inelastic Modeling for NPP and Components}
\begin{itemize}
%\vspace*{1mm}
\item Soil elastic-plastic
\begin{itemize}
\item Dry, single phase
\item Unsaturated (partially saturated)
\item Fully saturated
\end{itemize}
%\vspace*{1mm}
\item Contact, inelastic, soil/rock -- foundation
\begin{itemize}
\item Dry, single phase, Normal (hard and soft, gap open/close),
Friction (nonlinear)
\item Fully saturated, suction and excess pressure (buoyant force)
\end{itemize}
%\vspace*{1mm}
\item Structural inelasticity/damage
\begin{itemize}
\item Nonlinear/inelastic 1D fiber beam
\item Nonlinear/inelastic 2D wall element
\end{itemize}
%%\vspace*{1mm}
% \item Fluid-Solid interaction (open surface)
\end{itemize}
%
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{NPP Model }
\begin{figure}[!h]
\begin{center}
\includegraphics[width=8.5cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/NPP_With_Shallow_Foundation.pdf}
\end{center}
% \caption{\label{Fig:NPP_Model_In_Real_ESSI} Nuclear Power Plant Model with Shallow Foundation }
\end{figure}
% \begin{tikzpicture}[remember picture,overlay]
% \node[xshift=3.5cm,yshift=-0.6cm] at (current page.center) {\includegraphics[width=0.5\textwidth]{images/Contact_In_Industry}};
% \end{tikzpicture}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
\frametitle{Structure Model}
The nuclear power plant structure comprise of
\begin{itemize}
\item Auxiliary building, $f^{aux}_{1}= 8Hz$
\item Containment/Shield building, $f^{cont}_{1}= 4Hz$
\item Concrete raft foundation: $3.5m$ thick
\end{itemize}
\begin{figure}[!h]
\begin{center}
\includegraphics[width=0.8\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/NPP_Model_Auxiliary_And_Containment_Building.pdf}
\end{center}
\caption{\label{Fig:NPP_Structure_Model_In_Real_ESSI} Auxiliary and Containment Building }
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Inelastic Soil and Inelastic Contact}
\begin{itemize}
\item Shear velocity of soil $V_s=500m/s$
\item Undrained shear strength (Dickenson 1994) $V_s [m/s] = 23 (S_u [kPa])^{0.475}$
\item For $V_s=500m/s$ Undrained Strength $S_u=650kPa$ and Young's Modulus of $E=1.3GPa$
\item von Mises, Armstrong Frederick kinematic hardening
($S_u=650kPa$ at $\gamma=0.01\%$; $h_a = 30MPa$, $c_r = 25$)
\item Soft contact (concrete-soil), gaping and nonlinear shear
\end{itemize}
\begin{figure}[!h]
\begin{center}
\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Von_Mies_non_Linear_Hardening.pdf}
\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/SoftContact.pdf}
\end{center}
\end{figure}
\end{frame}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Simulation Result}
%
% \begin{figure}[!h]
% \begin{center}
% \subfigure[Selected Locations
% \label{Specific_Locations}]{\includegraphics[width=0.45\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/NPP_Selected_Location_For_Study.pdf}}
% \subfigure[Total Displacement
% \label{Total_Displacement}]{\includegraphics[width=0.40\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Total_Displacement_Z.pdf}}
% \end{center}
% \caption{\label{Fig:NPP_Selected_Location_For_Study} Locations selected to study non-linear effects and plot of total displacement at center of model}
% \end{figure}
%
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Acc. Response, Top of Containment Building}
\begin{figure}[!h]
\begin{center}
\hspace*{-8mm}
\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/D_Acceleration_X.pdf}
\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/D_Acceleration_Y.pdf}
\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/D_Acceleration_Z.pdf}
\\
\hspace*{-8mm}
\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/FFT_D_Acceleration_X.pdf}
\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/FFT_D_Acceleration_Y.pdf}
\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/FFT_D_Acceleration_Z.pdf}
% \caption{\label{Fig:Response_of_Top_of_Containment_Building} Seismic Response at Top of Containment Building}
\end{center}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Response Comparison}
%
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Deformation_Of_NPP_At_11_Sec.pdf}
% \end{center}
% \caption{\label{Fig:Deformation_Of_NPP_At_11_Sec} Deformation of the NPP structure at 11 seconds (scaled by 100 times)}
% \end{figure}
% \begin{itemize}
% \item Inelastic soil acts as a natural damper
% \item Look at the response of containment building in this video \textbf{\tiny \url{http://cml06.engr.ucdavis.edu/~sumeet/for_boris/NPP_Non_Linear_Effects_Comparison.mp4}}
% \end{itemize}
%
% \end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Displacement Depth Trace }
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=0.8\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Free_Field_SMIRT_2017.pdf}
% \caption{Free-Field}
% \end{center}
% \end{figure}
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Displacement Depth Trace }
% \begin{figure}[!h]
% \begin{minipage}{0.49\textwidth}
% \begin{center}
% \includegraphics[width=1.3\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Elastic_Without_Contact_SMIRT_2017.pdf}
% \caption{Elastic}
% \end{center}
% \end{minipage}
% \begin{minipage}{0.49\textwidth}
% \begin{center}
% \includegraphics[width=1.3\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Inelastic_With_Contact_SMIRT_2017.pdf}
% \caption{Inelastic}
% \end{center}
% \end{minipage}
% \end{figure}
% \end{frame}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
\frametitle{Acceleration Traces, Free Field }
\begin{figure}[!h]
\vspace*{-7mm}
\begin{center}
\includegraphics[width=12cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Acceleration_Free_Field_SMIRT_2017.pdf}
% \caption{Free-Field}
\end{center}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
\frametitle{Acceleration Traces, Elastic vs Inelastic }
\begin{figure}[!h]
\vspace*{-2mm}
\begin{center}
\hspace*{-15mm}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Acceleration_Elastic_Without_Contact_SMIRT_2017.pdf}
\hspace*{-20mm}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Acceleration_Inelastic_With_Contact_SMIRT_2017.pdf}
\hspace*{-7mm}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
\frametitle{Elastic and Inelastic Response: Differences}
% Elastoplastic soil with contact elements
%% Both solid and contact elements dissipate energy
% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=10cm,poster,autostart,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_13Aug2017/NPP_Non_Linear_Effects_Sumeet.jpg}}
{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_13Aug2017/NPP_Non_Linear_Effects_Sumeet.mp4}
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_August2017/NPP_Non_Linear_Effects_Sumeet.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
\frametitle{Energy Dissipation in Large-Scale Model (NPP)}
% Elastoplastic soil with contact elements
%% Both solid and contact elements dissipate energy
% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=10cm,poster,autostart,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/tex/works/Conferences/2017/SMiRT_24/present/3D_Nonlinear_Modeling_and_it_Effects/NPP_Plastic_Dissipation_grab.jpg}}
{/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4}
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/NPP_Plastic_Dissipation.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Energy Dissipation in Large-Scale Model (SMR)}
%
% %
% % Some notes:
% % Energy density curves at the corner of the structure (as indicated in the picture of NPP model).
% % Can see large amount of energy dissipated in both soil and contact elements.
% % An arc-shaped area of "elastic zone" formed beneath the structure, where soil strength can be better utilized.
% %
%
% \vspace*{-2mm}
% \begin{figure}[!hbpt]
% \begin{center}
% % \hspace*{-7mm}
% \includegraphics[width=8truecm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/SMR_Energy_Dissipation_Curve.pdf}
% \end{center}
% \end{figure}
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Energy Dissipation in Large-Scale Model (SMR)}
%
% Elastoplastic soil without contact elements
% % Only solid elements dissipate energy
%
% % \vspace*{-5mm}
% \begin{center}
% % \hspace*{-15mm}
% \movie[label=show3,width=9cm,poster,autostart,showcontrols]
% {\includegraphics[width=9cm]
% {/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/SMR_Plastic_Dissipation_Density.pdf}}
% {/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/SMR_without_Contact_vonMises.mp4}
% \end{center}
%
%
% \end{frame}
%
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% -
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\subsection{Small Modular Reactors Modeling and Simulation}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Inelastic Modeling for Components}
\begin{itemize}
%\vspace*{1mm}
\item Soil elastic-plastic
\begin{itemize}
\item Dry, single phase
\item Unsaturated (partially saturated)
\item Fully saturated
\end{itemize}
%\vspace*{1mm}
\item Contact, inelastic, soil/rock -- foundation
\begin{itemize}
\item Dry, single phase, Normal (hard and soft, gap open/close),
Friction (nonlinear)
\item Fully saturated, suction and excess pressure (buoyant force)
\end{itemize}
%\vspace*{1mm}
\item Structural inelasticity/damage
\begin{itemize}
\item Nonlinear/inelastic 1D fiber beam
\item Nonlinear/inelastic 2D wall element
\end{itemize}
% %\vspace*{1mm}
% \item Fluid-Solid interaction (open surface)
%
\end{itemize}
%
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Sold/Structure -- Fluid Interaction}
%
%
% Still in verification phase, so not use at this time
%
% %\vspace*{-5mm}
% \begin{center}
% % \hspace*{-15mm}
% \movie[label=show3,width=6cm,poster,autostart,showcontrols]
% {\includegraphics[width=6.5cm]
% {/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/Solid-Fluid-Interaction.jpg}}
% {/home/jeremic/tex/works/Thesis/HexiangWang/Files_06June2017/pic/Solid_Fluid_Interaction.mp4}
% \end{center}
%
%
%
%
% \end{frame}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\subsection{Inelastic Behavior of an SMR}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Modeling Uncertainties for Embedded Structures}
% \begin{itemize}
% \item Ground motions: 1D seismic records, deconvolution\\
% \item Motion-input method: directly imposed excitation, no SSI\\
% \item Neglected non-linear behaviors:\\
% \setbeamertemplate{itemize items}[circle]
% \begin{itemize}
% \item material nonlinearity
% \item soil-structure interface nonlinearity
% \end{itemize}
% \end{itemize}
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\subsection{Modeling Procedure}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{Model Development}
% % \small -geometry, mesh, contacts, BCs, damping
%
% \vspace{-2mm}
% \begin{figure}[!H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Parallel_Fancy.png}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_2.pdf}
% \end{center}
% \end{figure}
%
%
% % Model 1 (structure:DRM=1:1)\quad\quad\quad\quad Model 2 (structure:DRM=1:4)
%
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
% \frametitle{3D free field motion transition}
%
% \begin{figure}[!H]
% \begin{center}
% \includegraphics[width=\linewidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SW42DRM.pdf}
% \end{center}
% \end{figure}
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Soil Modeling Parameters}
\begin{columns}[T]
\begin{column}{.6\textwidth}
\vspace*{-0.5cm}
\begin{figure}[!H]
\begin{center}
\includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/parameters.png}
\end{center}
\end{figure}
\end{column}
\begin{column}{.4\textwidth}
% \centerline{\scriptsize Armstrong Frederick kinematic hardening}
\vspace*{-0.3cm}
\begin{figure}[!H]
\begin{center}
\vspace*{-3mm}
\includegraphics[width=4.5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/ha=30Mpa.png}
\\
\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/SoftContact.pdf}
\end{center}
\end{figure}
% \small{Relationship between shear wave velocity and shear strength:\\}
% \vspace{-0.2cm}
% \begin{equation*}
% V_s=23S^{0.475}
% \end{equation*}
\end{column}
\end{columns}
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\subsection{Modeling Result}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Representative points}
\begin{columns}[T]
\begin{column}{.5\textwidth}
\vspace{-0.5cm}
\begin{figure}[!H]
\begin{center}
\includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
\end{center}
\end{figure}
\end{column}
\begin{column}{.5\textwidth}
\vspace{0.6cm}
\centerline{\scriptsize Location of points}
\vspace{-0.6cm}
\begin{figure}[!H]
\begin{center}
\includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/representative_points.pdf}
\end{center}
\end{figure}
\end{column}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{SMR: Inelastic ESSI Effects, Top Center}
\vspace*{-30mm}
\begin{figure}[!H]
\begin{flushleft}
\includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_ax_time_series.pdf}
\includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_ay_time_series.pdf}
\includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_az_time_series.pdf}
\\
\includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_ax_fft.pdf}
\includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_ay_fft.pdf}
\includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_az_fft.pdf}
\end{flushleft}
\end{figure}
\vspace*{-75mm}
\begin{figure}[!H]
\begin{flushright}
\hspace*{30mm}
\includegraphics[width=2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
\hspace*{-10mm}
\end{flushright}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{SMR: ESSI Effects, Location}
%
%
%
%
%
% \vspace*{-30mm}
%
% \scriptsize \hspace*{20mm} Point 3 \hspace*{25mm} Point 4 \hspace*{20mm} Point 5
% \begin{figure}[!H]
% \begin{flushleft}
% \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point3_ax_time_series.pdf}
% \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point4_ax_time_series.pdf}
% \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point5_ax_time_series.pdf}
% \\
% \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point3_ax_fft.pdf}
% \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point4_ax_fft.pdf}
% \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point5_ax_fft.pdf}
% \end{flushleft}
% \end{figure}
%
%
% \vspace*{-75mm}
%
% \begin{figure}[!H]
% \begin{flushright}
% \hspace*{30mm}
% \includegraphics[width=2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
% \hspace*{-10mm}
% \end{flushright}
% \end{figure}
%
%
%
%
%
%
% %
% %
% %
% % \begin{columns}[T]
% % \begin{column}{0.8\textwidth}
% % \vspace{-0.6cm}
% % \scriptsize \quad \quad \quad \quad Point 3\quad \quad \quad \quad \quad \quad \quad Point 4\quad \quad \quad \quad \quad \quad Point 5
% % \vspace{-0.3cm}
% % \begin{figure}[!H]
% % \begin{center}
% % \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point3_ax_time_series.pdf}
% % \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point4_ax_time_series.pdf}
% % \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point5_ax_time_series.pdf} \\
% % \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point3_ax_fft.pdf}
% % \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point4_ax_fft.pdf}
% % \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point5_ax_fft.pdf}
% % \end{center}
% % \end{figure}
% % \vspace{-0.3cm}
% % \begin{itemize}
% % \item Nonlinear effects attenuate along the depth
% % \end{itemize}
% % \end{column}
% % \begin{column}{0.3\textwidth}
% % \begin{figure}[!H]
% % \begin{center}
% % \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
% % \end{center}
% % \end{figure}
% % \end{column}
% % \end{columns}
%
%
%
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{SMR: ESSI Effects, Material Modeling}
\begin{columns}[T]
\begin{column}{0.6\textwidth}
\scriptsize \quad \quad \quad \quad \quad Material A\quad \quad \quad \quad \quad \quad \quad Material B
\vspace{-3mm}
\begin{figure}[!H]
\begin{center}
\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_ax_time_series.pdf}
% \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_me_point1_ax_time_series.pdf}
\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bilinear_point1_ax_time_series.pdf} \\
\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_ax_fft.pdf}
% \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_me_Point1_ax_fft.pdf}
\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bilinear_Point1_ax_fft.pdf}
\end{center}
\end{figure}
\vspace{-0.3cm}
% \begin{itemize}
% \item
% \end{itemize}
\end{column}
\hspace{-0.3cm}
\begin{column}{0.3\textwidth}
\vspace{-0.35cm}
\begin{figure}[!H]
\begin{center}
\includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/ha=30Mpa.png} \\
\tiny \quad Material A: nonlinear, vM - AF\\
\vspace{0.2cm}
\includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/material_stress_strain_behavior.pdf} \\
\tiny \quad Material B: Bilinear\\
\end{center}
\end{figure}
\end{column}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{SMR: Accelerations Along Depth}
\vspace{-0.6cm}
\begin{columns}[T]
\hspace{-0.6cm}
\begin{column}{1.1\textwidth}
\begin{figure}[!H]
\begin{center}
\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_acceleration_depth_variation.pdf}\hspace{-0.7cm}
\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_a_depth_variation_AF.pdf}
\end{center}
\end{figure}
\vspace{-1.1cm}
\begin{figure}[!H]
\begin{center}
\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_acceleration_depth_variation_elastic.pdf}\hspace{-0.7cm}
\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_acceleration_depth_variation.pdf}
\end{center}
\end{figure}
\end{column}
\hspace{-0.7cm}
\begin{column}{0.15\textwidth}
\vspace{1.5cm}
Nonlinear site effects\\
\vspace{2.5cm}
SSI effects
\end{column}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{SMR: Displacements Along Depth}
% \vspace{-0.6cm}
% \begin{columns}[T]
% \hspace{-0.5cm}
% \begin{column}{1.1\textwidth}
% \begin{figure}[!H]
% \begin{center}
% \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_displacement_depth_variation.pdf}\hspace{-0.7cm}
% \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_AF_u_depth_variation.pdf}
% \end{center}
% \end{figure}
% \vspace{-1.1cm}
% \begin{figure}[!H]
% \begin{center}
% \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_displacement_depth_variation_elastic.pdf}\hspace{-0.7cm}
% \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_displacement_depth_variation.pdf}
% \end{center}
% \end{figure}
% \end{column}
% \hspace{-0.7cm}
% \begin{column}{0.15\textwidth}
% \vspace{1.5cm}
% Nonlinear site effects\\
% \vspace{2.5cm}
% SSI effects
% \end{column}
% \end{columns}
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Depth variation - PGA \& PGD}
\vspace{-0.9cm}
\begin{figure}[!H]
\begin{center}
\hspace*{-10mm}
\includegraphics[width=0.6\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/depth_variation_peak_AH_annotation.pdf}
\includegraphics[width=0.6\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/depth_variation_peak_UH_annotation.pdf}
\hspace*{-5mm}
\end{center}
\end{figure}
\vspace{-0.5cm}
\begin{itemize}
\item \scriptsize The PGA \& PGD of SSI systems are (very) different from free field motions,
\item \scriptsize Material nonlinearity has significant effect on acceleration response.
% \item \scriptsize Deconvolution methodology for analysis of embedded structure is inaccurate and even dangerous.
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Simulation video}
% \centerline{\href{http://cml08.engr.ucdavis.edu/for_professor/SMR.mp4}{Elastic vs Inelastic-This is a link!!}}
% \begin{figure}[!H]
% \begin{center}
% \includegraphics[width=0.8\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_comparison.png}
% \end{center}
% \end{figure}
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Elastic and Inelastic Response: Differences}
% Elastoplastic soil with contact elements
%% Both solid and contact elements dissipate energy
% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=9cm,poster,autostart,showcontrols]
{\includegraphics[width=9cm]
{/home/jeremic/tex/works/Thesis/HexiangWang/Files_13June2017/SMiRT_SMR_hexiang.jpg}}
{/home/jeremic/tex/works/Thesis/HexiangWang/Files_13June2017/SMiRT_SMR_hexiang.mp4}
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_August2017/SMiRT_SMR_hexiang.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Energy Dissipation for an SMR}
% Elastoplastic soil with contact elements
%% Both solid and contact elements dissipate energy
% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=9cm,poster,autostart,showcontrols]
{\includegraphics[width=9cm]
{/home/jeremic/tex/works/Conferences/2017/SMiRT_24/present/Nonlinear_Analysis_of_ESSI_for_SMR/SMR_Energy_Dissipation_screen_grab.jpg}}
{/home/jeremic/tex/works/Thesis/HanYang/Files_16Aug2017/SMR_Energy_Dissipation.mp4}
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/SMR_Energy_Dissipation.mp4}
% \href{./homo_50m-mesh_45degree_Ormsby.mp4}
{\tiny (MP4)}
\end{flushleft}
%
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Buoyant Force Simulation}
\begin{figure}[!H]
\hspace*{-10mm}
\includegraphics[width=7cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/upU_element_type_annotation.pdf}
\includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bouyant_displacement.pdf}
\end{figure}
% - %
% - % \begin{tikzpicture}[remember picture,overlay]
% - % \node[anchor=south west,inner sep=0pt] at ($(current page.south west)+(7.5cm,2.5cm)$) {
% - % \includegraphics[width=0.4\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bouyant_displacement.pdf}};
% - % \end{tikzpicture}
% -
% - % \vspace{-1.4cm}
% \begin{itemize}
% \item \scriptsize Upward structural displacement under buoyant force
% \end{itemize}
\end{frame}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Solid/Structure-Fluid Interaction: gmFoam}
\begin{columns}[T]
\begin{column}{.6\textwidth}
\begin{itemize}
% \vspace{-0.4cm}
\item[] Mesh separation
\begin{itemize}
\item[] integrated geometry model %(solid \& fluid) based on gmsh
\item[] FEM \& FVM mesh conversion
\item[] handle discontinuous mesh
\end{itemize}
\item[] Incorporate gmESSI
% \begin{itemize}
% \item[] conveniently set BCs
% \item[] input files easy generation
% \end{itemize}
\item[] Interface geometry extraction
\item[] Interface class \textbf{SSFI} in RealESSI
% \begin{itemize}
% \item[] interface geometrical mapping
% \item[] handle different mesh size
% \item[] BCs interpolation \& updating
% \item[] boundary mass conservation iteration
% \end{itemize}
\item[] RealESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam
% \item[] Shepherd method
% \begin{itemize}
% \item[] RealESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam
% \item[] explicit transient algorithm
% \item[] handle different time step length
% \end{itemize}
\end{itemize}
\vspace{0.2cm}
% \scriptsize gmFoam: https://github.com/hexiang6666/gmFoam
\end{column}
\begin{column}{.4\textwidth}
\vspace{-1cm}
\begin{figure}[!H]
\begin{center}
\includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_08June2017/pic/gmFoam.pdf}
\end{center}
\end{figure}
\end{column}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \begin{frame}
% \frametitle{Semi-Coupled Solid Fluid Interaction}
% \begin{itemize}
% \item[] Utilize VOF implemented in interFoam
% \setbeamertemplate{itemize items}[circle]
% \begin{itemize}
% \item[] avoid tracking free surface
% \item[] relatively fixed BCs
% \item[] relatively fixed background mesh
% \end{itemize}
% \end{itemize}
% \vspace{-0.3cm}
% \begin{itemize}
% \item[] Interface class \textbf{SSFI} added in RealESSI
% \setbeamertemplate{itemize items}[circle]
% \begin{itemize}
% \item[] interface geometrical mapping
% \item[] handle different mesh size
% \item[] BCs interpolation \& updating
% \item[] boundary mass conservation iteration
% \end{itemize}
% \end{itemize}
% \vspace{-0.3cm}
% \begin{itemize}
% \item[] Shepherd method
% \setbeamertemplate{itemize items}[circle]
% \begin{itemize}
% \item[] RealESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ InterFoam
% \item[] explicit transient algorithm
% \item[] handle different time step length
% \end{itemize}
% \end{itemize}
%
% \end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \begin{frame}
% \frametitle{Semi-Coupled Solid Fluid Interaction}
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% \includegraphics[width=.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_08June2017/pic/No_SSFI.pdf}\enspace
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% \quad \href{http://cml08.engr.ucdavis.edu/for_professor/fluid_model_simulation.mp4}{Water Break without SFI}\quad \quad \quad \quad \quad \href{http://cml08.engr.ucdavis.edu/for_professor/Solid_Fluid_Interaction.mp4}{Box Sloshing with SFI}
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\begin{frame}
\frametitle{Solid/Structure-Fluid Interaction, Example}
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\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=9cm,poster,autostart,showcontrols]
{\includegraphics[width=8.5cm]
{/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/Solid-Fluid-Interaction.jpg}}
{Solid_Fluid_Interaction.mp4}
\end{center}
\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Fluid_Solid_interaction/Solid_Fluid_Interaction.mp4}
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\subsection{Liquefaction}
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\begin{frame}
\frametitle{Saturated Soil}
\begin{itemize}
\item For fully and partially saturated layers of loose to medium sand,
with fines, silt, and with in-between layers of low permeability clay,
liquefaction is likely
\vspace*{3mm}
\item Liquefaction can result in uniform and differential settlements!
\vspace*{3mm}
\item Liquefaction can also base isolate objects \\
{\tiny (Mahdi Taiebat, Boris Jeremic. Yannis F. Dafalias, Amir M. Kaynia,
and Zhao Cheng. Propagation of Seismic Waves through Liquefied Soils. Soil
Dynamics and Earthquake Engineering, No. 30, pp 236-257, 2010.) }
\vspace*{3mm}
\item Piles in liquefied soil, pile pinning effects \\
({\tiny (Zhao Cheng and Boris Jeremic. Numerical Simulations of Piles in Liquefied
Soils. Soil Dynamics and Earthquake Engineering, No. 29, pp 1405-1416, 2009.)}
\end{itemize}
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\begin{frame}
\frametitle{Liquefaction as Base Isolation, Model}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=4.5truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_04.jpg}
\end{center}
\end{figure}
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\begin{frame}
\frametitle{Liquefaction, Wave Propagation}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_01.jpg}
\end{center}
\end{figure}
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\begin{frame}
\frametitle{Liquefaction, Excess Pore Pressure Ratio}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=10truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_02.jpg}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
\frametitle{Liquefaction, Stress-Strain Response}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_03.jpg}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
\frametitle{Pile in Liquefiable Soil, Model}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=2.7truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Cyclic_Mobility_and_Liquefaction/tex_works_Papers_2008_Pile_in_liquefied_soil_upU_final_FEmesh3D.pdf}
\hfill
\includegraphics[width=3.5truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Cyclic_Mobility_and_Liquefaction/tex_works_Papers_2008_Pile_in_liquefied_soil_upU_final_FEmeshPileBeam.pdf}
%\hfill
\includegraphics[width=4truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Cyclic_Mobility_and_Liquefaction/tex_works_Papers_2008_Pile_in_liquefied_soil_upU_final_SFSIModelSetup_upU_01.pdf}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
\frametitle{Pile in Liquefiable Soil, Results}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=6truecm]{/home/jeremic/tex/works/Conferences/2018/Oersted-DONG-Energy/present/Pile_in_liquefied_soil.jpg}
\end{center}
\end{figure}
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\section{Conclusion}
\subsection*{Summary}
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% \frametitle{US-DOE Project for ESSI of Nuclear Facilities}
%
% \begin{itemize}
%
% \item[] The Real ESSI Simulator (inelastic, deterministic and probabilistic, time domain, 3D FEM)
% % \href{http://real-essi.us}{http://real-essi.us}
%
% % \vspace*{2mm}
% \item[] Modeling from seismic source to NPP (SW4, Real ESSI)
%
% % \vspace*{2mm}
% \item[] Extensive Verification (NQA-1, ISO), and Validation
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% \vspace*{-2mm}
% \begin{figure}[!hbpt]
% \begin{center}
% %
% \hspace*{-7mm}
% \includegraphics[width=8.2truecm]{/home/jeremic/tex/works/Conferences/2017/CNWG_INL_16-18_May_2017/Presentation/DOE_project_UNR_test_01.jpg}
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% \frametitle{Science Quotes}
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% \begin{itemize}
%
%
% \item Max Planck:
% "A new scientific truth does not triumph by convincing its opponents and
% making them see the light, but rather because its opponents eventually die, and
% a new generation grows up that is familiar with it." (Science advances one
% funeral at a time)
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%
% \vspace*{3mm}
%
% \item Fran{\c c}ois-Marie Arouet, Voltaire:
% "Le doute n'est pas une condition agr{\'e}able, mais la certitude est absurde."
%
% \vspace*{3mm}
%
% \item Niklaus Wirth:
% "Software is getting slower more rapidly than hardware becomes faster."
% w
% \end{itemize}
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\begin{frame}
\frametitle{Summary}
\begin{itemize}
% \item Importance of using proper models correctly (verification,
% validation, level of sophistication)
%
% \item Reduction of modeling uncertainty
%
\vspace*{1mm}
\item Numerical modeling to predict and inform, rather than fit
%\vspace*{1mm}
% \item Change of demand due to inelastic effects
%\vspace*{-1mm}
% \begin{itemize}
% \item Reduction of dynamic motions
% \item Increase in deformations
% \end{itemize}
\vspace*{1mm}
\item Sophisticated inelastic/nonlinear modeling and simulations need to be
done carefully and in phases
\vspace*{1mm}
\item Education and Training is the key!
\vspace*{1mm}
\item \url{http://real-essi.us/}
\vspace*{1mm}
\item Collaborators: Feng, Lacour, Han, Behbehani, Sinha, Wang,
Pisan{\'o}, Abell, McCallen, McKenna, Petrone, Rodgers, Petersson, Pitarka
\vspace*{1mm}
\item Funding from and collaboration with the US-DOE, US-NRC, US-NSF,
CNSC-CCSN, UN-IAEA, and Shimizu Corp. is greatly appreciated,
\end{itemize}
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