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% %% Jose Antonio Abell Mena provided this for DSL descriptions
% % (used in a file _Chapter_SoftwareHardware_Domain_Specific_Language_English.tex
% % This is added for listing FEI DSL
% %   since   he   customized   it,   it   needs   to   be   changed   (linked  to
% % /usr/share/texmf/tex/latex/misc)
% %\usepackage{myListings}
% \input{essi_listings_options.tex}

      
\usepackage{multimedia}

% for inclusion of other PDF pages, in this case Frank's presentation
\usepackage{pdfpages}

%This is a macro to  convert eps to pdf files on the fly.
% make sure figure syntax uses graphicx syntax NOT epsfig syntax
%from http://mailman.mit.edu/pipermail/macpartners/2005-January/000780.html
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% \fi
% %*****************************************


%% ovo je za cirilicu
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%  \usetheme{Marburg} % ima naslov i sadrzaj sa desne strane
%  \usetheme{Hannover} % ima naslov i sadrzaj sa leve strane
%  \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
%  \usetheme{Goettingen} % ima sadrzxaj za desne strane
%  \usetheme{Montpellier} % ima graf sadrzaj gore
%  \usetheme{Warsaw}
%  \usetheme{Warsaw}
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    \usecolortheme[RGB={20,0,128}]{structure}

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% or whatever (possibly just delete it)
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%  \usecolortheme{beetle} % siva pozadina (vrh plav)
  \usecolortheme{seagull} % sivo
%%%%%%%
%  \usecolortheme{BorisJeremic}
%%%%%%%
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%   \usefonttheme[onlylarge]{structuresmallcapsserif}
%   \usefonttheme{structuresmallcapsserif}
}

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\usepackage[greek,english]{babel}



\usepackage{amsmath}
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\newcommand{\ud}{{\rm d}}


\usepackage{array}



%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
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% \usepackage[pdfauthor={Boris Jeremic},
%             colorlinks=true,
%             linkcolor=webblue,
%             citecolor=webblue,
%             urlcolor=webblue,
%             linktocpage,
%             pdftex]{hyperref}


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% or whatever
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\usepackage[T1]{fontenc}
% Or whatever. Note that the encoding and the font should match. If T1
% 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[MS-ESSI]
        { Modeling and Simulation \\
         of Static and Dynamic Behavior 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.
\pgfdeclareimage[height=0.2cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_blue_sm}
\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 United States Bureau of Reclamation\\
         Denver, August. 2018}

\subject{}
% This is only inserted into the PDF information catalog. Can be left
% out.



% If you have a file called "university-logo-filename.xxx", where xxx
% is a graphic format that can be processed by latex or pdflatex,
% resp., then you can add a logo as follows:

%\pgfdeclareimage[height=0.2cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_gold_lrg}
%\logo{\pgfuseimage{university-logo}}

% \pgfdeclareimage[height=0.5cm]{university-logo}{university-logo-filename}
% \logo{\pgfuseimage{university-logo}}




% Delete this, if you do not want the table of contents to pop up at
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\setcounter{tocdepth}{3}
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\begin{document}

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\begin{frame}
  \titlepage
\end{frame}

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\begin{frame}
  \frametitle{Outline}

   \begin{scriptsize}
  \tableofcontents
% You might wish to add the option [pausesections]
   \end{scriptsize}
\end{frame}

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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
% solution:

% - 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*{1mm}
  \item[]      Use select fidelity (high  $\leftrightarrow$ low) numerical models to
  analyze static and dynamic behavior of soil/rock structure fluid systems


\vspace*{1mm}
  \item[]  Reduction  of modeling uncertainty, ability to perform desired level
  of sophistication modeling and simulation


\vspace*{1mm}
  \item[]  Accurately   follow  the  flow   of input and dissipation of  energy 
  in a soil structure system


\vspace*{1mm}
  \item[]  Development  of  an  expert    system  for modeling and simulation of
  Earthquakes,    Soils,    Structures    and    their    Interaction,   MS-ESSI:
  \hspace*{5mm} \href{http://ms-essi.info/}{http://ms-essi.info/}
% \url{http://ms-essi.info/}



% \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}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%    
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \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}
% % %  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%


  


  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\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 rather than (force) Fit

\end{itemize}


\end{frame}



% 


 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%\subsection*{Uncertainties}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Motivation: Modeling Uncertainty}

\begin{itemize}



  \item         Simplified  modeling:    Features (important ?)   are neglected,
  simplified out (6C ground motions, inelasticity)

\vspace*{3mm}
     \item   Modeling   Uncertainty:   unrealistic   (unnecessary?)  modeling
     simplifications

%\vspace*{3mm}
%     \item  Modeling  simplifications   are  justifiable  if  one  or  two  level  higher
%     sophistication  model  shows  that  features  being  simplified out are not
%     important


\vspace*{3mm}
     \item   Chief Engineer in my old company: "I would really love to know what
     would a realistic response this object be"


\end{itemize}
\end{frame}



% out  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% out  \begin{frame}
% out  \frametitle{Parametric Uncertainty: Material Stiffness}
% out  
% out  
% out  %\vspace*{-3mm}
% out  \begin{figure}[!hbpt]
% out  \begin{center}
% out  %
% out  \hspace*{-7mm}
% out  \includegraphics[width=7.0truecm]{/home/jeremic/tex/works/Papers/2008/JGGE-GoverGmax/figures/YoungModulus_RawData_and_MeanTrend_01-Ed.pdf}
% out  % \hfill
% out  \includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Papers/2008/JGGE-GoverGmax/figures/YoungModulus_Histogram_Normal_01-Ed.pdf}
% out  %
% out  \end{center}
% out  \end{figure}
% out  
% out  % \vspace*{-1.8cm}
% out  % %\hspace*{-3.3cm}
% out  % \begin{flushright}
% out  % {\tiny
% out  % Transformation  of SPT $N$-value: \\
% out  % 1-D Young's modulus, $E$ \\
% out  % (cf. Phoon and Kulhawy (1999B))\\
% out  % ~}
% out  % \end{flushright}
% out  %
% out  \end{frame}
% out  
% out  
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \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}
%   
%   % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% 
% 
% 
% 
% 

%
%














%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\subsection{Personal Experience with Dam Engineering}
%

\begin{frame}
 \frametitle{Spillway Dynamic Analysis, '88-'89}



%  %  \begin{itemize}
%  % 
%  %    \item {\cyr Diplomski pre skoro 18 godina}
%  % 
%  % \vspace*{0.10cm}
%  %    \item {\cyr relativno mali model}
%  % 
%  % \vspace*{0.10cm}
%  %    \item {\cyr linearno elastichan materijal}
%  % 
%  % \vspace*{0.10cm}
%  %    \item {\cyr aksisimetrichni elementi sa \\
%  %          razvojem pomeranja u \\
%  %          trigonometrijske redove}
%  %          
%  % 
%  % \vspace*{0.10cm}
%  %    \item {\cyr uprosh\cj{}eno zemljtresno \\
%  %                optere\cj{}enje}
%  % 
%  % \vspace*{0.10cm}
%  %    \item {\cyr vrlo korisna analiza \\
%  %                interakcije zemljotresa, \\
%  %                tla i konstrukcije  }
%  % %
%  % %   \item {\cyr    }
%  % 
%  % 
%  %  \end{itemize}
%  % 
%  % 
% \vspace*{-6.2cm}
% %
\begin{center}
\begin{figure}[!htbp] 
\includegraphics[width=6.2cm]{/home/jeremic/tex/works/Conferences/2018/USBR_22Aug2018/present/Monticelo_dam_glory_hole_spillway_01.jpg}
\hfill
\includegraphics[width=4.2cm]{/home/jeremic/tex/works/Conferences/2018/USBR_22Aug2018/present/DiplomskiModel.pdf}
\end{figure}
\end{center}
%\vspace*{-2.0cm}



\end{frame}





%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Behkme Dam Project, Iraq, '89-'90}



\begin{center}
\begin{figure}[!htbp] 
%\includegraphics[width=4cm]{/home/jeremic/public_html/Bekhme/Bekhme_panorama_pogled_na_istok_jug_zapad_April_1990.jpg}
%\\
%\includegraphics[width=4cm]{/home/jeremic/public_html/Bekhme/Bekhme_panorama_pogled_na_tunele_jug_zapad_April_1990.jpg}
%\\
%\includegraphics[width=4cm]{/home/jeremic/public_html/Bekhme/Bekhme_panorama_pogled_na_levu_obalu_istok_April_1990.jpg}
%
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/Bekhme/Bekhme_panorama_pogled_na_istok_jug_zapad_April_1990.jpg}
{\includegraphics[width=7cm]{/home/jeremic/tex/works/Conferences/2018/USBR_22Aug2018/present/Bekhme_panorama_pogled_na_istok_jug_zapad_April_1990_SMALL.jpg}}
\\
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/Bekhme/Bekhme_panorama_pogled_na_tunele_jug_zapad_April_1990.jpg}
{\includegraphics[width=7cm]{/home/jeremic/tex/works/Conferences/2018/USBR_22Aug2018/present/Bekhme_panorama_pogled_na_tunele_jug_zapad_April_1990_SMALL.jpg}}
\\
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/Bekhme/Bekhme_panorama_pogled_na_levu_obalu_istok_April_1990.jpg}
{\includegraphics[width=7cm]{/home/jeremic/tex/works/Conferences/2018/USBR_22Aug2018/present/Bekhme_panorama_pogled_na_levu_obalu_istok_April_1990_SMALL.jpg}}
%
\end{figure}
\end{center}
%\vspace*{-2.0cm}


\end{frame}




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\begin{frame}
 \frametitle{Wolf Creek Dam, '09-'10}

%
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=3.0cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/WolfCreekDam_SateliteView01.jpg}
\hfill
\includegraphics[width=2.0cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/WolfCreekDam_SatelliteView_with_slope01.jpg}
\hfill
\includegraphics[width=2.0cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/img-0188.jpg}
\hfill
\includegraphics[width=2.6cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/WolfCreekDam_Q2-61_621_Embankment_Sep_30_48.jpg}
\\
\includegraphics[width=3.0cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/WolfCreekDam_PerpendicularSection.jpg}
\hfill
\includegraphics[width=2.0cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/3D_final02.jpg}
\hfill
\includegraphics[width=2.0cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/3D_final04.jpg}
\hfill
\includegraphics[width=2.0cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/3D_final05.jpg}
%\hfill
%\includegraphics[width=2.0cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/3D_final_Top.jpg}
\\
\includegraphics[width=2.0cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/Undrained-Su440-Vector-Plan_snapshot.jpg}
\hfill
\includegraphics[width=2.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/WCD_Undrained_L680_E680_Su800_Alluvium_Su1500_FS250.jpg}
\hfill
\includegraphics[width=2.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/WCD_Undrained_L680_E680_Su900_Alluvium_Su1000_FS222.jpg}
\hfill
\includegraphics[width=2.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Slope_Stability_in_2D_and_3D/WCD_Undrained_L680_E720_Su1300_FS154.jpg}

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\end{center}
\end{figure}
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    \subsection{MS-ESSI Simulator System}





 

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\begin{frame} 

\frametitle{MS-ESSI Simulator System}

The  MS-ESSI, Realistic  
{\underline {\bf M}}odeling  and  
{\underline {\bf S}}imulation  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{MS-ESSI Simulator System}

 
\begin{itemize}


  \item MS-ESSI System Components
    \begin{itemize} 
     \item MS-ESSI Pre-processor (gmsh/gmESSI, X2ESSI) 
     \item MS-ESSI Program (local, remote, cloud)
     \item MS-ESSI Post-Processor (Paraview, Python, Matlab)

    \end{itemize} 

\vspace*{1mm}
  \item MS-ESSI System availability:                   
    \begin{itemize}
%\vspace*{1mm}
     \item Educational  Institutions: Amazon Web Services (AWS), free 
     \item Government Agencies, National Labs: AWS GovCloud
     \item Professional  Practice: AWS, commercial
%\vspace*{1mm}
%%\vspace*{1mm}
%      \item Sources available to collaborators
    \end{itemize}



\vspace*{1mm}
  \item MS-ESSI Short Courses (online, this Fall)



\vspace*{1mm}
  \item System description and documentation at  \url{http://ms-essi.info/}



% \vspace*{2mm}
%   \item
% 


\end{itemize}


\end{frame}




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\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{Regional Models}

    
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\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 Free Field seismic motions on regional scale


\vspace*{4mm}
  \item Knowledge of geology (deep and shallow) needed


\vspace*{4mm}
 \item Developed using SW4 and/or MS-ESSI


\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*{5mm}
\begin{center}
%\hspace*{-5mm}
%
%\movie[label=show3,width=10.0cm,poster,autostart,showcontrols]
\movie[label=show3,width=8.0cm,poster]
%\movie[label=show3,width=6.0cm,poster,showcontrols]
  {\includegraphics[width=80mm]{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_August2017/M6_5_s500_BASIN_STOCHASTIC_mag_SLOW.jpg}}
     {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_August2017/M6_5_s500_BASIN_STOCHASTIC_mag_SLOW.mpg}
\hspace*{-5mm}
%
\end{center}


% online   
\vspace*{-5mm}
\begin{flushleft}
\hspace*{-5mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_August2017/M6_5_s500_BASIN_STOCHASTIC_mag_SLOW.mpg}
  {\tiny (MP4)}
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% out %  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
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\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
\frametitle{ESSI: 6C or 1C Seismic Motions}


\begin{itemize}


\item Assume that a full 6C (3C) motions at the surface are only recorded in one
horizontal direction


\item  From such recorded motions one can develop a vertically propagating shear
wave (1C) in 1D

\item  Apply  such  vertically propagating shear wave to 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{6C Free Field Motions (closeup)}


  
%\vspace*{-2mm}
\begin{center}
\movie[label=show3,width=80mm,poster,showcontrols]
{\includegraphics[width=80mm]{/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_input_closeup_mp4_icon.jpeg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_closeup.mp4}
\end{center}

\begin{flushleft}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_closeup.mp4}
  {\tiny (MP4)}
\end{flushleft}
% local
% local
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% out 
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% out  \end{center}
% out   
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% out  \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}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{1C vs 6C Free Field 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]{/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_ff_3d_mp4_icon.jpeg}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_3d.mp4}
%\hspace*{-2mm}
%\hfill
%\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
\movie[label=show3,width=61mm,poster, showcontrols]
  {\includegraphics[width=60mm]
  {/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_ff_1d_mp4_icon.jpeg}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_1d.mp4}
\hspace*{-16mm}
\end{center}
% local


% online
\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}
{\tiny (MP4)}
%
\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{center}
% online






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% out    {\includegraphics[width=60mm]{movie_ff_3d_mp4_icon.jpeg}}{movie_ff_3d.mp4}
% out  % \hspace*{-16mm}
% out  % \end{center}
% out  % %  
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% out  % %
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% out  \movie[label=show3,width=61mm,poster, showcontrols]
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% out  % online    {\includegraphics[width=50mm]{movie_ff_3d_mp4_icon.jpeg}}
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%  
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \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}
% 
% 
% 
% 
% 
%

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \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}
% %
% 
% 
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% 
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \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)}
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% 
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% 
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% \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}
% 
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \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}
% %
% 
% 
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%  \end{frame}
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\begin{frame}
\frametitle{6C vs 1C NPP ESSI Response Comparison}

 
% local
\vspace*{-2mm}
\begin{center}
\hspace*{-7mm}
%\movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
\movie[label=show3,width=8.8cm,poster, showcontrols]
  {\includegraphics[width=92mm]
  {/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_2_npps_mp4_icon.jpeg}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_2_npps.mp4}
\end{center}
% local
%  \vspace*{-2mm}
%  \begin{center}
%  \hspace*{-7mm}
%  \movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
%    {\includegraphics[width=90mm]{movie_2_npps_mp4_icon.jpeg}}{movie_2_npps.mp4}
%  \end{center}


% online
\vspace*{-12mm}
\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}
% online



% out 
% out  \vspace*{-2mm}
% out  \begin{center}
% out  \hspace*{-7mm}
% out  \movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
% out    {\includegraphics[width=69mm]{BJicon.png}}
% out    {movie_2_npps.mp4}
% out  \end{center}
% out  
% out  
% out  \begin{flushleft}
% out  \vspace*{-15mm}
% out  \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}
% out    {\tiny (MP4)}
% out  \end{flushleft}
% out  %
% out  


 \end{frame}




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\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  Waves: P, SV, Sh, Surface (Rayleigh, Love, etc.)
   
\item Variation in inclination, frequency, energy and duration



\item Try to "break" the system, shake-out strong and weak links


%\vspace*{3mm}
%\item 

\end{itemize}

\vspace*{-4mm}  
\begin{figure}[!htb]
\begin{center}
\hspace*{-5mm}
\includegraphics[width=6.5cm]{/home/jeremic/tex/works/Conferences/2018/BestPSHANI/Presentation/stress_test_Best_SHANI_May2018.jpg}
\end{center}
\end{figure}

 
\vspace*{-5mm}  
\begin{figure}[!htb]
\begin{center}
\hspace*{-5mm}  
%\includegraphics[width=4cm]{/home/jeremic/tex/works/consulting/2017/IAEA/TECDOC/Version_14Mar2017/1Dvs3x1Dvs3D_waves_02.pdf}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Conferences/2018/WCCM2018/Present/1Dvs3x1Dvs3D_waves_03.pdf}
\hspace*{4mm}
\includegraphics[width=3.6cm]{/home/jeremic/tex/works/Conferences/2018/WCCM2018/Present/1Dvs3x1Dvs3D_waves_02.pdf}
\hspace*{-5mm}
\end{center}
\end{figure}




%
% 
% \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}


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%\subsection{Local Geology Effects}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}
  \frametitle{Layered Soil Models}


\vspace*{5mm}

\begin{itemize}

%   \item Uniform soil/rock, to show surface waves
   
% \vspace*{1mm}
%    \item  (a)  Horizontal layers
%    \item  (b)  Vary source location  
% \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 Point source location matrix
   
   \item Plane waves matrix (Thomson and Haskel solution)
   
%  \item Wave strike and dip, Magnitude, Frequency variations 
      

\end{itemize}

%\vspace*{-5mm}


\begin{figure}[!hbpt]
\begin{center}
%
%\hspace*{-5mm}
\includegraphics[width=10.0truecm]{/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, 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*{10mm}
\begin{center}
\hspace*{-15mm}
%
\movie[label=show3,width=6.0cm,poster,autostart,showcontrols]
  {\includegraphics[width=60mm]
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Layered_and_Dyke/Layered_850_ff.jpg}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Layered_and_Dyke/Layered_850_ff.mp4}
%
\movie[label=show3,width=6.0cm,poster,autostart,showcontrols]
  {\includegraphics[width=60mm]
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Layered_and_Dyke/Layered_2500_ff.jpg}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Layered_and_Dyke/Layered_2500_ff.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{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{Free Field, Variation in Input Frequency, $\theta = 60^{o}$}

% 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]
\movie[label=show3,width=10cm,poster,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/Free_Field_variation_in_wave_frequency.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/free_field_frequency.mp4}
\end{center}
        
% online   
\vspace*{-12mm}
\begin{flushleft}
\hspace*{-4mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/free_field_frequency.mp4}
  {\tiny (MP4)}
\end{flushleft}
% online  
   

\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}

\frametitle{SMR ESSI, Variation in Input Frequency, $\theta = 60^{o}$}

% 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]
\movie[label=show3,width=10cm,poster,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/ESSI_SMR_variation_in_wave_frequency.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/SMR_frequency.mp4}
\end{center}
        
% online   
\vspace*{-12mm}
\begin{flushleft}
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\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/SMR_frequency.mp4}
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%   \frametitle{Dyke/Sill Intrusion, Variable Source Depth}
% 
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% \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}
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%  \includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_right/cut_output_z2500_dip45_gauss.png}
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%    {\includegraphics[width=50mm]{BJicon.png}}{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/movie02.mp4}
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%  \movie[label=show3,width=6.0cm,poster,autostart,showcontrols]
%    {\includegraphics[width=50mm]{BJicon.png}}{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/movie03.mp4}
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%     \item  Dyke/Sill (right Fig),  made  of  stiff  rock,  is  an  energy  sink, as well as energy
%     reflector
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%  \includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/dyke_right/cut_output_z2500_dip45_gauss.png}
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%     \item   Developed synthetic (!) free field motions need to excite a number of
%     (all!) possible responses from a nuclear facility
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%     \item  Knowledge  of  detailed  geology  is  needed,  geometry  and  material
%     properties, including inelasticity of shallow layers
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% \movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
%   {\includegraphics[width=69mm]{BJicon.png}}
%   {movie_2_npps.mp4}
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% \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}
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% \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 MS-ESSI 
% %     \begin{itemize}
% %      \item[] interface geometrical mapping
% %      \item[] handle different mesh size
% %      \item[] BCs interpolation \& updating 
% %      \item[] boundary mass conservation iteration 
% %     \end{itemize}
%   \item[]  MS-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam 
% %  \item[] Shepherd method
% %   \begin{itemize}
% %    \item[] MS-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam
% %    \item[] explicit transient algorithm
% %    \item[] handle different time step length
% %   \end{itemize} 
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% % \scriptsize gmFoam: https://github.com/hexiang6666/gmFoam
%  \end{column}
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%    \begin{figure}[!H]
%     \begin{center}
%      \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_08June2017/pic/gmFoam.pdf}
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% %   \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}
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% %   \item[] Interface class \textbf{SSFI} added in MS-ESSI 
% %     \setbeamertemplate{itemize items}[circle]
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% %     \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[] MS-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ InterFoam
% %     \item[] explicit transient algorithm
% %     \item[] handle different time step length
% %     \end{itemize} 
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% %  \begin{frame}
% %   \frametitle{Semi-Coupled Solid Fluid Interaction}
% %   Implemented in MS-ESSI 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}
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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}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Energy Dissipation}
%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Inelasticity}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Energy Dissipation}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Energy Input and Dissipation}

\begin{itemize}

\vspace*{1mm}
     \item[] Energy input, dynamic forcing


\vspace*{4mm}
     \item[] Energy dissipation outside SSI domain:
       \begin{itemize}
         \item[] SSI system oscillation radiation
         \item[] Reflected wave radiation
       \end{itemize}
%\vspace*{1mm}
     \item[] Energy dissipation/conversion inside SSI domain:
       \begin{itemize}
         \item[] Inelasticity of soil, contact zone, structure, foundation, dissipators
         \item[] Viscous coupling with internal/pore fluids, and external 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_plasticity.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_Newmark.pdf}
\end{figure}


% \hspace*{10mm} Numerical  \hspace*{20mm}  Viscous  \hspace*{20mm} Plasticity 
 \hspace*{10mm} Plasticity \hspace*{20mm}  Viscous  \hspace*{20mm} Numerical



\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 plastic dissipation
\item[] Plastic work can decrease
\item[] Plastic dissipation always increases
\end{itemize}
 
%\vspace*{-7mm}
\begin{figure}[!hbpt]
\begin{center}
\hspace*{-5mm}
\includegraphics[width=11.0truecm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Dissipation_Material.png}
\end{center}
\end{figure}
  
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{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 reinforced concrete fiber beam
         \item Nonlinear/inelastic 2D reinforced concrete element
         \item Alcali Silica Reaction concrete modeling
       \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}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\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}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \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}
%
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  
%  
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \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}
%  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\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}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%




% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \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}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\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 for a 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]
\movie[label=show3,width=10cm,poster,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/tex/works/Conferences/2017/SMiRT_24/present/Nonlinear_Analysis_of_ESSI_for_SMR/SMR_Energy_Dissipation_screen_grab.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/SMR_Energy_Dissipation.mpg}
%{/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}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%













  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Coupled Systems}


% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \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}
% 
% 
% 
% \end{frame}
% 



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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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\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}

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\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}

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\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}


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\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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\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}
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  \item[] Mesh separation
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     \item[] integrated geometry model %(solid \& fluid) based on gmsh
     \item[] FEM \& FVM mesh conversion
     \item[] handle discontinuous mesh  
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  \item[] Incorporate gmESSI
%     \begin{itemize}
%      \item[] conveniently set BCs
%      \item[] input files easy generation
%     \end{itemize}
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  \item[] Interface class \textbf{SSFI} in MS-ESSI 
%     \begin{itemize}
%      \item[] interface geometrical mapping
%      \item[] handle different mesh size
%      \item[] BCs interpolation \& updating 
%      \item[] boundary mass conservation iteration 
%     \end{itemize}
  \item[]  MS-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam 
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%   \begin{itemize}
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%    \item[] explicit transient algorithm
%    \item[] handle different time step length
%   \end{itemize} 


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% \scriptsize gmFoam: https://github.com/hexiang6666/gmFoam
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 \vspace{-1cm}
   \begin{figure}[!H]
    \begin{center}
     \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_08June2017/pic/gmFoam.pdf}
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%     \item[] avoid tracking free surface
%     \item[] relatively fixed BCs
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%     \end{itemize}
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%   \vspace{-0.3cm}
%   \begin{itemize}
%   \item[] Interface class \textbf{SSFI} added in MS-ESSI 
%     \setbeamertemplate{itemize items}[circle]
%     \begin{itemize}
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%     \item[] handle different mesh size
%     \item[] BCs interpolation \& updating 
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%     \end{itemize}
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%   \begin{itemize}
%    \item[] Shepherd method
%     \setbeamertemplate{itemize items}[circle]
%     \begin{itemize}
%     \item[] MS-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ InterFoam
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%     \item[] handle different time step length
%     \end{itemize} 
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%   \frametitle{Semi-Coupled Solid Fluid Interaction}
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%   \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}
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 \frametitle{Solid/Structure-Fluid Interaction, Example}



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\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}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Fluid_Solid_interaction/Solid_Fluid_Interaction_NEW.mpeg}
\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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\section{Conclusion}

\subsection*{Summary}


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% \item  Fran{\c c}ois-Marie Arouet,  Voltaire: 
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\begin{frame}
  \frametitle{Summary}

  \begin{itemize}

%    \item Importance   of   using  proper  models  correctly  (verification,
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%    \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}
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\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     Collaborators:    Feng,  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,


\vspace*{1mm}
  \item \url{http://ms-essi.info/}

      

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