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% %% Jose Antonio Abell Mena provided this for DSL descriptions
% % (used in a file _Chapter_SoftwareHardware_Domain_Specific_Language_English.tex
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%  \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
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%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
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% does not look nice, try deleting the line with the fontenc.



%      Site Specific Dynamics of Structures: 
%From Seismic Source to 
%the Safety of Occupants and Content


\title[Real-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} \\
Feng, Yang, Behbehani, Sinha, Wang, Pisan{\'o}, Abell
}

%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
\institute[\pgfuseimage{university-logo}\hspace*{0.1truecm}\pgfuseimage{lbnl-logo}] % (optional, but mostly needed)
%\institute[\pgfuseimage{university-logo}] % (optional, but mostly needed)
{ University of California, Davis\\
% %{ Professor, University of California, Davis\\
% { University of California, Davis, CA\\
% %  and\\
% %  Faculty Scientist, Lawrence Berkeley National Laboratory, Berkeley }
   Lawrence Berkeley National Laboratory}
% - 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 GeoMEast2018\\
         Cairo, Egypt}
% 24-28 November 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,
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%\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}}




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  \frametitle{Outline}

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  \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}



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


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\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,   Real-ESSI: 
  \hspace*{5mm} 
   {\bf \url{http://real-essi.info/}}
%%  
%  {\bf \href{http://real-essi.info/}{http://real-essi.info/}}
% \url{http://real-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  Desired level
%   of sophistication (high  $\leftrightarrow$ low) analysis
% 


\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}



   

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Uncertainties}


\begin{itemize}




%\vspace*{1mm}
  \item    Modeling uncertainty, introduced by simplifying assumptions
    \begin{itemize}
      \item low sophistication modeling and simulation
      \item medium sophistication modeling and simulation
      \item high sophistication modeling and simulation

      \item choice of sophistication level for confidence in analysis results

    \end{itemize}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vspace*{2mm}
  
   \item    Parametric    uncertainty,
%  \makebox[0pt][l]{\hspace*{2cm}\raisebox{-3ex}{\includegraphics{testing.png}}}%
  \makebox[0pt][l]{\hspace*{2mm}\raisebox{-0.53ex}{\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Conferences/2018/GeoMEast2018/Short_Course/present/GeoMEast_presentation_EQ01.png}}}%
% %\hrulefill
% % \includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Conferences/2018/GeoMEast2018/Short_Course/present/GeoMEast_presentation_EQ01.png} 
% %%   ${M}  \ddot{u_i}  +  {C}  \dot{u_i} + {K}^{ep} {u_i} = {F(t)}$

  \begin{itemize}

    \item propagation  of uncertainty  in material,   $K^{ep}$


    \item propagation  of uncertainty in  loads, $F(t)$


    \item results are PDFs   and   CDFs  for  
  \makebox[0pt][l]{\hspace*{2mm}\raisebox{-0.55ex}{\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Conferences/2018/GeoMEast2018/Short_Course/present/GeoMEast_presentation_EQ02.png}}}%
% \makebox[0pt][l]{\raisebox{-0.5ex}{\includegraphics[width=4.0truecm]{\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Conferences/2018/GeoMEast2018/Short_Course/present/GeoMEast_presentation_EQ02.png}}}%
% % \includegraphics[width=2.0truecm]{/home/jeremic/tex/works/Conferences/2018/GeoMEast2018/Short_Course/present/GeoMEast_presentation_EQ02.png}
% %    $\sigma_{ij}$,  $\epsilon_{ij}$,  $u_i$,  $\dot{u}_i$,  $\ddot{u}_i$
% %

  \end{itemize}


\end{itemize}

% 
% 
% %Le doute n'est pas un {\'e}tat bien agr{\'e}able,\\ 
%        mais l'assurance est un {\'e}tat ridicule.  (Fran{\c c}ois-Marie Arouet, Voltaire)



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


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Modeling Uncertainty}

\begin{itemize}



  \item      Simplified  modeling:    Features (important ?)   are neglected (3C, 6C
  ground motions, inelasticity)

\vspace*{4mm}
     \item   Modeling   Uncertainty:   unrealistic   and   unnecessary  modeling
     simplifications

\vspace*{4mm}
     \item  Modeling  simplifications   are  justifiable  if  one  or  two  level  higher
     sophistication  model  shows  that  features  being  simplified out are not
     important



\end{itemize}
\end{frame}





%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Parametric Uncertainty: Soil  Stiffness}


%\vspace*{-3mm}
\begin{figure}[!hbpt]
\begin{center}
%
\hspace*{-7mm}
\includegraphics[width=7.0truecm]{/home/jeremic/tex/works/Papers/2008/JGGE-GoverGmax/figures/YoungModulus_RawData_and_MeanTrend_01-Ed.pdf}
% \hfill
\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Papers/2008/JGGE-GoverGmax/figures/YoungModulus_Histogram_Normal_01-Ed.pdf}
%
\end{center}
\end{figure}

%\vspace*{-1.8cm}
%\hspace*{-3.3cm}
\begin{flushright}
{\tiny
Transformation  of SPT $N$-value: 
1-D Young's modulus, $E$ 
(cf. Phoon and Kulhawy (1999B))
~}
\end{flushright}

\end{frame}


% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Parametric Uncertainty: Soil 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{Motivation: Seismic Hazard}



\begin{figure}[!hbpt]
\begin{center}
% %
%\hspace*{-3mm}
\includegraphics[width=11.0truecm]{/home/jeremic/tex/works/Conferences/2018/GeoMEast2018/Short_Course/present/Global_Seismic_Hazard_Map_1999.jpg}
\end{center}
\end{figure}

\end{frame}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Motivation: Egypt Seismic Design Accelerations}



\begin{figure}[!hbpt]
\begin{center}
% %
%\hspace*{-3mm}
\includegraphics[width=11.0truecm]{/home/jeremic/tex/works/Conferences/2018/GeoMEast2018/Short_Course/present/North_Africa_Design_seismic_accelerations.jpg}
\end{center}
\end{figure}

\end{frame}



% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
%   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%   \begin{frame}
%   \frametitle{Realistic ESSI Modeling Uncertainties}
%   
%   
%   \begin{itemize}
%   
%   
%   \item   Seismic   Motions:  6D,  inclined,  body  and  surface  waves
%   (translations, rotations); Incoherency
%   
%   \vspace*{3mm}
%   \item    Inelastic    material:    soil,   rock,   concrete,   steel;   Contacts,
%   foundation--soil, dry, saturated slip--gap; Nonlinear buoyant forces; Isolators,
%   Dissipators
%   
%   
%   \vspace*{3mm}
%       \item Uncertain loading and material
%   
%   \vspace*{3mm}
%        \item Verification and Validation  $\Rightarrow$  Predictions
%   
%   
%   % \vspace*{2mm}
%   %     \item High Fidelity Models $\Rightarrow$ High Performance Computing
%   % 
%   % 
%   % \vspace*{2mm}
%   %      \item Education
%   % 
%   
%   
%   
%   \end{itemize}
%   
%   \end{frame}
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    \subsection{Real-ESSI Simulator System}





 

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\begin{frame} 

\frametitle{Real-ESSI Simulator System}

The  Real-ESSI, 
({{\bf Real}}istic  
{{M}}odeling  and  
{{S}}imulation  of  
%{\underline {\bf M}}odeling  and  
%{\underline {\bf S}}imulation  of  
{{\bf E}}arthquakes,  
{{\bf S}}oils,
{{\bf S}}tructures  and  their  
{{\bf I}}nteraction)
Simulator  is  a  software,  hardware  and
documentation   system   for  high  fidelity,  high  performance,  time  domain,
nonlinear/inelastic, deterministic or probabilistic, 3D, finite element modeling
and simulation of:

    \begin{itemize}
%\vspace*{1mm}
      \item statics and dynamics of soil,
\vspace*{1mm}
      \item    statics and dynamics of rock,
\vspace*{1mm}
      \item    statics and dynamics of structures,
\vspace*{1mm}
      \item    statics of soil-structure systems, and
\vspace*{1mm}
      \item    dynamics of earthquake-soil-structure system interaction
    \end{itemize}


\end{frame}



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

\frametitle{Real-ESSI Simulator System}

 
\begin{itemize}


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

    \end{itemize} 

\vspace*{1mm}
  \item Real-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 Real-ESSI Short Courses (online)



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



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


\end{itemize}


\end{frame}



% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Quality Assurance}
% 
% \begin{itemize}
% 
% \item Full verification suit for each element, model, algorithm
% 
% \vspace*{4mm}
% \item Certification process in progress for NQA-1 and ISO-90003-2014
% 
% %\vspace*{3mm}
% %\item[] Verification examples given below
% 
% \end{itemize}
% 
% 
% 
% 
% \end{frame}
% 
% 
% 



  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Trusting Simulation Tools, Quality Assurance}

   
  
\begin{itemize}

\item Full verification suit for each element, model, algorithm

\vspace*{3mm}
\item Certification in progress for NQA-1 and ISO-90003-2014


   
\vspace*{3mm}
   \item   {\bf  Verification}:  
%   The  process  of  determining  that    a  model
%   implementation  accurately  represents the developer's conceptual description
%   and specification. 
   Mathematics issue. {Verification provides evidence that the
   model is solved correctly.}

   
\vspace*{3mm}
   \item    {\bf  Validation}:  
%   The process of determining the degree to which a
%   model  is  accurate  representation of the real world from the perspective of
%   the  intended  uses  of  the  model.  
   Physics issue. {Validation provides
   evidence that the correct model is solved.}



\end{itemize}
  

 



\end{frame}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Importance of Verification and Validation (V\&V)}

  
 
  
\begin{itemize}

   
   \item  V  \&  V  procedures  are  the  primary means of assessing accuracy in
   modeling and computational simulations

   
\vspace*{8mm}
   \item  V  \&  V  procedures  are the tools with which we build confidence and
   credibility in modeling and computational simulations


\end{itemize}
  


\end{frame}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Verification and Validation}

     
     
\begin{figure}[!ht]
\vspace*{-4mm}
%\hspace*{-0.5cm}
\begin{center}
{\includegraphics[width=11cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Verification_and_Validation_Introduction/tex_works_Conferences_2005_OpenSeesWorkshopAugust_DeveloperSymposium_VerifValidFund01.pdf}}
\end{center}
\end{figure}


Oberkampf et al.


\end{frame}


% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{V\&V Further Reading}
% 
%   
%  
% \begin{itemize}
% 
% \item {\sc William Oberkampf}: {\it  Short Course on Verification and Validation
% in Computational Mechanics}, July 2003, Albuquerque, NM.
% 
% \item {\sc William~L. Oberkampf, Timothy~G. Trucano, and Charles Hirsch.}
% Verification, Validation and Predictive Capability in Computational
%   Engineering and Physics.
% {\em Proceedings of the Foundations for Verification and
%   Validation on the 21st Century Workshop}, Laurel, Maryland,
% %  October 2002, JHU / Applied Physics Laboratory.
%   October 2002, JHU.
% 
% 
% \item {\sc Patrick~J. Roache.}
% {\em Verification and Validation in Computational Science and
%   Engineering}. Hermosa publishers, 1998. ISBN 0-913478-08-3.
% 
% 
% \end{itemize}
% 
% 
% \end{frame}
% 
% 


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\section{Inelasticity}


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



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

\begin{itemize}

\vspace*{1mm}
     \item[] Energy input, static and 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)
%\vspace*{4mm}
   \item[] Numerical energy dissipation/production


\end{itemize}

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




   
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 
\frametitle{Incremental Plastic Work: 
\makebox[0pt][l]{\hspace*{2mm}\raisebox{-0.60ex}{\includegraphics[width=3.0truecm]{/home/jeremic/tex/works/Conferences/2018/GeoMEast2018/Short_Course/present/GeoMEast_presentation_EQ03.png}}}%
%$d W_p = \sigma_{ij} \, d\epsilon_{ij}^{pl}$
}
 
\begin{itemize}
\item Negative incremental energy dissipation
\item Plastic work is NOT plastic dissipation
\end{itemize}
 
\begin{figure}[!H]
\begin{center}
\includegraphics[height=4.5cm]{/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*{2mm}
%  \item[] 600 papers use Uang and Bertero (1990) and repeat their error
%  
%  \vspace*{2mm}
%  \item[] Important form of energy missing: {Plastic Free Energy}
%  
%  \vspace*{2mm}
%  \item[]  Observed  by  Farren  and  Taylor  (1925)   and explained by Taylor and
%  Quinney (1934)
%  
%  \vspace*{2 mm}
%  \item[] Plastic Work vs. {Plastic Energy Dissipation}
%  
%  
%  %\vspace*{4mm}
%  %\item[] However it seems to be forgotten
%  
%  \end{itemize}
%   
%  \end{frame}
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  
%  
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 
\frametitle{Energy Dissipation on Material Level}


\vspace*{2mm}
 
 Single elastic-plastic element under cyclic shear loading
 
\begin{itemize}
\item[] Difference between plastic work and dissipation
\item[] Plastic work can decrease, dissipation always increases
\end{itemize}
 
\vspace*{-7mm}
\begin{figure}[!hbpt]
\begin{center}
\hspace*{-5mm}
\includegraphics[width=12.0truecm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Dissipation_Material.png}
\end{center}
\end{figure}
  
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 
\frametitle{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{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 Soil Structure System}

\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 fiber beams
         \item Nonlinear/inelastic reinforced concrete walls. plates, shells
         \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{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{Energy Dissipation in NPP Model}

% 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{Wall, Regular and ASR Concrete}

\vspace{-5mm}

   \begin{figure}[!h]
    \begin{center}
     \includegraphics[width=2truecm]{/home/jeremic/tex/works/Conferences/2018/DOE_LBNL_Advisory_Board_meet_08Jun2018/present/OECD_presentation/Figures/Rebar_Plan.pdf}
     \includegraphics[width=4truecm]{/home/jeremic/tex/works/Conferences/2018/DOE_LBNL_Advisory_Board_meet_08Jun2018/present/OECD_presentation/Figures/3D_mesh.pdf}
\includegraphics[width=3truecm]{/home/jeremic/tex/works/Conferences/2018/DOE_LBNL_Advisory_Board_meet_08Jun2018/present/OECD_presentation/Figures/Reg_A_Force_Displacement.pdf}
\includegraphics[width=3truecm]{/home/jeremic/tex/works/Conferences/2018/DOE_LBNL_Advisory_Board_meet_08Jun2018/present/OECD_presentation/Figures/ASR_A1_Force_Displacement.pdf}
    \end{center}
\end{figure}


\vspace{-2mm}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=10.0truecm]{/home/jeremic/tex/works/Conferences/2018/DOE_Natural_Hazartd_Oct2018/Present/OECD_wall_damage_3_stages.jpg}
\end{center}
\end{figure}



% \vspace{-20mm}
% \begin{figure}[!htbp]
% \hspace*{-10mm}
% \begin{center}
% \includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Conferences/2018/DOE_LBNL_Advisory_Board_meet_08Jun2018/present/OECD_presentation/Figures/Damage_3000.pdf}
% \hspace*{-5mm}
% \includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Conferences/2018/DOE_LBNL_Advisory_Board_meet_08Jun2018/present/OECD_presentation/Figures/Damage_5000.pdf}
% \hspace*{-5mm}
% \includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Conferences/2018/DOE_LBNL_Advisory_Board_meet_08Jun2018/present/OECD_presentation/Figures/Damage_10000.pdf}
% \end{center}
% \end{figure}
% 
% 
% \vspace*{-5mm}
% \hspace*{12mm}
% \begin{footnotesize}
% $u_y$ = 1.4 mm
% \hspace{12mm}
% $u_y$ = 1.8 mm
% \hspace{12mm}
% $u_y$ = 3.0 mm
% \end{footnotesize}
  
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \begin{frame}
%  
%  \frametitle{Energy Dissipation for an SMR}
%  
%  % Elastoplastic soil with contact elements
%  %% Both solid and contact elements dissipate energy
%  
%       
%  % \vspace*{-5mm}
%  \begin{center}
%  % \hspace*{-15mm}
%  %\movie[label=show3,width=9cm,poster,autostart,showcontrols]
%  \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}
% 


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Fully Coupled Formulation, u-p-U}


\begin{itemize}
 
  \item Fully saturated soil
\vspace*{1mm}
  \item Partially, un-saturated soil

\end{itemize}

% 
\vspace*{5mm}
\makebox[0pt][l]{\hspace*{2mm}\raisebox{-0.0ex}{\includegraphics[width=11.0truecm]{/home/jeremic/tex/works/Conferences/2018/GeoMEast2018/Short_Course/present/GeoMEast_presentation_EQ04.png}}}%


%
%  \vspace*{-3mm}
%  \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}
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%





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\begin{frame}
 \frametitle{Fully Coupled Formulation, u-p-U}

% 
% 
%
%
%


% 
%\vspace*{-5mm}
\makebox[0pt][l]{\hspace*{2mm}\raisebox{-0.0ex}{\includegraphics[width=11.0truecm]{/home/jeremic/tex/works/Conferences/2018/GeoMEast2018/Short_Course/present/GeoMEast_presentation_EQ05.png}}}%

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




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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}

\end{frame}


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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}

\end{frame}


% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Liquefaction, Excess Pore Pressure Ratio}
% 
% \begin{figure}[!hbpt]
% \begin{center}
% \includegraphics[width=10truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_02.jpg}
% \end{center}
% \end{figure}
% 
% \end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Liquefaction, Stress-Strain Response}

\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_03.jpg}
\end{center}
\end{figure}

\end{frame}




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Pile in Liquefiable Soil, Model}

\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=2.7truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Cyclic_Mobility_and_Liquefaction/tex_works_Papers_2008_Pile_in_liquefied_soil_upU_final_FEmesh3D.pdf}
\hfill
\includegraphics[width=3.5truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Cyclic_Mobility_and_Liquefaction/tex_works_Papers_2008_Pile_in_liquefied_soil_upU_final_FEmeshPileBeam.pdf}
%\hfill
\includegraphics[width=4truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Cyclic_Mobility_and_Liquefaction/tex_works_Papers_2008_Pile_in_liquefied_soil_upU_final_SFSIModelSetup_upU_01.pdf}
\end{center}
\end{figure}


\end{frame}




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Pile in Liquefiable Soil, Results}

\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=6truecm]{/home/jeremic/tex/works/Conferences/2018/Oersted-DONG-Energy/present/Pile_in_liquefied_soil.jpg}
\end{center}
\end{figure}




\end{frame}




             


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\begin{frame}
 \frametitle{Dam, 3D  Slope Stability}

%
\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}

%\hspace*{-0.9cm}
%bridge.}
\end{center}
\end{figure}
%




\end{frame}

%-




%- 
%- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%- \begin{frame}
%-  \frametitle{Partially Saturated, Unsaturated  Soil}
%- 
%- %
%- 
%- %OVDE
%- 
%- 
%- \end{frame}
%- 
%- %- 
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%- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%- 





%  
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  
%  \begin{frame}
%  
%  \frametitle{Buoyant Force Simulation}
%  
%  \begin{figure}[!H]
%  \hspace*{-10mm}
%       \includegraphics[width=7cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/upU_element_type_annotation.pdf}
%       \includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bouyant_displacement.pdf}
%  \end{figure}
%  
%  % -  %
%  % -  % \begin{tikzpicture}[remember picture,overlay]
%  % -  %    \node[anchor=south west,inner sep=0pt] at ($(current page.south west)+(7.5cm,2.5cm)$) {
%  % -  %      \includegraphics[width=0.4\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bouyant_displacement.pdf}};
%  % -  % \end{tikzpicture}
%  % -
%  % -  %  \vspace{-1.4cm}
%  %  \begin{itemize}
%  %   \item \scriptsize Upward structural displacement under buoyant force
%  %  \end{itemize}
%  \end{frame}
%  
%  
%  
%  %










     

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Solid/Structure-Fluid Interaction: gmFoam}
 \begin{columns}[T]
 \begin{column}{.6\textwidth}
 \begin{itemize}
%  \vspace{-0.4cm}
  \item[] Mesh separation
   \begin{itemize}
     \item[] integrated geometry model %(solid \& fluid) based on gmsh
     \item[] FEM \& FVM mesh conversion
     \item[] handle discontinuous mesh  
   \end{itemize}
  \item[] Incorporate gmESSI
%     \begin{itemize}
%      \item[] conveniently set BCs
%      \item[] input files easy generation
%     \end{itemize}
  \item[] Interface geometry extraction  

  \item[] Interface class \textbf{SSFI} in Real-ESSI 
%     \begin{itemize}
%      \item[] interface geometrical mapping
%      \item[] handle different mesh size
%      \item[] BCs interpolation \& updating 
%      \item[] boundary mass conservation iteration 
%     \end{itemize}
  \item[]  Real-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam 
%  \item[] Shepherd method
%   \begin{itemize}
%    \item[] Real-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam
%    \item[] explicit transient algorithm
%    \item[] handle different time step length
%   \end{itemize} 


 \end{itemize}
 \vspace{0.2cm}
% \scriptsize gmFoam: https://github.com/hexiang6666/gmFoam
 \end{column}
 \begin{column}{.4\textwidth}
 \vspace{-1cm}
   \begin{figure}[!H]
    \begin{center}
     \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_08June2017/pic/gmFoam.pdf}
    \end{center}                       
   \end{figure}
 \end{column}
 \end{columns}
\end{frame}

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
%  \begin{frame}
%   \frametitle{Semi-Coupled Solid Fluid Interaction}
%   \begin{itemize}
%    \item[] Utilize VOF implemented in interFoam
%    \setbeamertemplate{itemize items}[circle]
%     \begin{itemize}
%     \item[] avoid tracking free surface
%     \item[] relatively fixed BCs
%     \item[] relatively fixed background mesh
%     \end{itemize}
%   \end{itemize}
%   \vspace{-0.3cm}
%   \begin{itemize}
%   \item[] Interface class \textbf{SSFI} added in Real-ESSI 
%     \setbeamertemplate{itemize items}[circle]
%     \begin{itemize}
%     \item[] interface geometrical mapping
%     \item[] handle different mesh size
%     \item[] BCs interpolation \& updating 
%     \item[] boundary mass conservation iteration 
%     \end{itemize}
%   \end{itemize}
%   \vspace{-0.3cm}
%   \begin{itemize}
%    \item[] Shepherd method
%     \setbeamertemplate{itemize items}[circle]
%     \begin{itemize}
%     \item[] Real-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ InterFoam
%     \item[] explicit transient algorithm
%     \item[] handle different time step length
%     \end{itemize} 
%   \end{itemize}
%  
%  \end{frame}

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

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  
%  \begin{frame}
%   \frametitle{Semi-Coupled Solid Fluid Interaction}
%   Implemented in Real-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{frame}
 \frametitle{Solid/Structure-Fluid Interaction, Example}



%\vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=9cm,poster,autostart,showcontrols]
{\includegraphics[width=8.5cm]
{/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/Solid-Fluid-Interaction.jpg}}
{/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}
%  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
  {\tiny (MP4)}
\end{flushleft}
%





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\section{Seismic Motions}



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\subsection{6C vs 1C Motions}

    
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\begin{frame}
  \frametitle{3D (6D) Seismic Motions}

\vspace*{2mm}

\begin{itemize}

   \item  All (most) measured motions are full 3C (6C)

   \item  One example of an almost 2D motion (LSST07, LSST12)
\vspace*{-5mm}


\begin{figure}[!hbpt]
\begin{center}
%
\hspace*{-15mm}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Lotung_LSST07_FA25.jpeg}
\includegraphics[width=6.0truecm]{/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*{1mm}
  \item Knowledge of geology (deep and shallow) needed


% \vspace*{4mm}
%  \item Developed using SW4 program and/or Real-ESSI program
% 
% 
% \vspace*{4mm}
%   \item  Collaboration  with LLNL: Dr.~Rodgers, Dr.~Pitarka and Dr.~Petersson


\end{itemize}


 \begin{figure}[!htb]
 \begin{center}
  \includegraphics[width=8truecm]{/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{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 
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% % out   {\includegraphics[width=60mm]{BJicon.png}}{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/M6.5_s500_BASIN+STOCHASTIC.mag.SLOW.mpg}
% % out \hspace*{-15mm}
% % out %
% % 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/Rodgers_Free_Field_motions/M6.5_s500_BASIN+STOCHASTIC.mag.SLOW.mpg}
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\begin{frame}
\frametitle{ESSI: 6C or 1C Seismic Motions}


\begin{itemize}


\item Full 6C (3C) motions, recorded only in 1C


\item Develop  vertically propagating shear wave, 1C

\item Apply 1C shear wave to ESSI 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}


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\begin{frame}
 \frametitle{6C Realistic Ground Motions}

\begin{itemize}

  \item Free field seismic motion models

\end{itemize}

% local
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\vspace*{-2mm}
\begin{center}
%\movie[label=show3,width=8.5cm,poster,autostart,showcontrols,loop]
\hspace*{-12mm}
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% \movie[label=show3,width=6.0cm,poster]
%   {\includegraphics[width=60mm]{movie_input_mp4_icon.jpeg}}{movie_input.mp4}
% \hspace*{-2mm}
% %\hfill
\hspace*{-5mm}
\movie[label=show3,width=80mm,poster,autostart,showcontrols]
%\movie[label=show3,width=90mm,poster]
  {\includegraphics[width=80mm]
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_mp4_icon.jpeg}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input.mp4}
\hspace*{-12mm}
\end{center}
% local
% online   
\vspace*{-12mm}
\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.mp4}
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\begin{frame}
\frametitle{6C Realistic Ground 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}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{6C vs 1C 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}
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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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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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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)}
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% %
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%  \end{frame}
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% \begin{frame}
% \frametitle{6D Earthquake Soil Structure Interaction}
% 
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% \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}
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% \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}
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% %
% 
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%  \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}
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% %
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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
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%  \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)}
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% online



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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}


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% %\subsection{Local Geology Effects}
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%   \frametitle{Layered Soil Models}
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% \vspace*{5mm}
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% \begin{itemize}
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% %   \item Uniform soil/rock, to show surface waves
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% % \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
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%    \item Plane waves matrix (Thomson and Haskel solution)
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% %  \item Wave strike and dip, Magnitude, Frequency variations 
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% %\vspace*{-5mm}
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% \begin{figure}[!hbpt]
% \begin{center}
% %
% %\hspace*{-5mm}
% \includegraphics[width=10.0truecm]{/home/jeremic/tex/works/Thesis/JoseAntonioAbellMena/Dyke_results/geom.png}
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% \end{center}
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% % \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}
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% %
% \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}
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% % \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}
% 
%                   
  
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\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  
   

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\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}
\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/SMR_frequency.mp4}
  {\tiny (MP4)}
\end{flushleft}
% online  
   

\end{frame}

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\begin{frame}

%\frametitle{SMR ESSI, Variation in Input Frequency, $\theta = 60^{o}$}
\frametitle{SMR ESSI, 3C vs 3$\times$1C}

% 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/SMR_animations_May2018/3Dvs1D_deconvolution.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_May2018/3Dvs1D_deconvolution.ogv}
\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/SMR_animations_May2018/3Dvs1D_deconvolution.ogv}
  {\tiny (OGV)}
\end{flushleft}
% online  
   

\end{frame}

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\begin{frame}

\frametitle{Free Field vs ESSI - Different Frequencies}


\begin{textblock*}{8cm}(1.0cm,2.5cm) % {block width} (coords) 
   \scriptsize Acceleration response - Surface center point A
\end{textblock*}
\begin{textblock*}{2cm}(0.2cm,4cm) % {block width} (coords) 
   \tiny X direction
\end{textblock*}
\begin{textblock*}{2cm}(0.2cm,6.3cm) % {block width} (coords) 
   \tiny Z direction
\end{textblock*}
\begin{textblock*}{3cm}(2.4cm,7.6cm) % {block width} (coords) 
   \tiny  (a) $f=1Hz \ \ \theta=60^{o}$
\end{textblock*}
\begin{textblock*}{3cm}(5.6cm,7.6cm) % {block width} (coords) 
   \tiny  (b) $f=5Hz \ \ \theta=60^{o}$
\end{textblock*}
\begin{textblock*}{3cm}(8.8cm,7.6cm) % {block width} (coords) 
   \tiny  (c) $f=10Hz \ \ \theta=60^{o}$
\end{textblock*}

\vspace*{-30mm}
  \begin{figure}[!H]
    \centering
     % \begin{flushleft}
       \includegraphics[width=3.3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/plots_slides_14May2018/Updated_SMR_slides/pic/1Hz_center_ax.pdf}
       \includegraphics[width=3.3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/plots_slides_14May2018/Updated_SMR_slides/pic/5Hz_center_ax.pdf}
       \includegraphics[width=3.3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/plots_slides_14May2018/Updated_SMR_slides/pic/10Hz_center_ax.pdf}
      \\
       \includegraphics[width=3.3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/plots_slides_14May2018/Updated_SMR_slides/pic/1Hz_center_az.pdf}
       \includegraphics[width=3.3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/plots_slides_14May2018/Updated_SMR_slides/pic/5Hz_center_az.pdf}
       \includegraphics[width=3.3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/plots_slides_14May2018/Updated_SMR_slides/pic/10Hz_center_az.pdf}
    % \end{flushleft}
  \end{figure}
\vspace*{-75mm}
  \begin{figure}[!H]
     \begin{flushright}
     \hspace*{30mm}
       \includegraphics[width=2.5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/plots_slides_14May2018/Updated_SMR_slides/pic/Points_configuration.pdf}
     \hspace*{-10mm}
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\end{frame}
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% \hspace*{-7mm}
% \movie[label=show3,width=90mm,poster,showcontrols]
%   {\includegraphics[width=90mm]{/home/jeremic/tex/works/Conferences/2018/ENSI_meeting_Brugg_18May2018/Present/Shear_wall_frame.jpg}}{/home/jeremic/tex/works/Thesis/HanYang/Shear_Wall_Presentation_26Apr2018/Presentation/Figures/Shear_Wall_Plastic_Dissipation.mp4}
% \end{center}
%  
% % \begin{flushleft}
% % \vspace*{-15mm}
% % \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_01AApr2015/movie_input_closeup.mp4}
% % %  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
% %   {\tiny (MP4)}
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% % \begin{center}
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% % \includemedia[width=\linewidth,height=0.6\linewidth,activate=pageopen,addresource=/home/jeremic/tex/works/Thesis/HanYang/Shear_Wall_Presentation_26Apr2018/Presentation/Figures/Shear_Wall_Plastic_Dissipation.mp4,
% % flashvars={source=/home/jeremic/tex/works/Thesis/HanYang/Shear_Wall_Presentation_26Apr2018/Presentation/Figures/Shear_Wall_Plastic_Dissipation.mp4&autoPlay=true&loop=true}]{VPlayer.swf}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%  
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \begin{frame}
%  
%  \frametitle{NPP 3C vs 3$\times$1C Motions}
%  
%  % Elastoplastic soil with contact elements
%  %% Both solid and contact elements dissipate energy
%  
%       
%  % \vspace*{-5mm}
%  \begin{flushleft}
%  \hspace*{-7mm}
%  %\movie[label=show3,width=54mm,poster,autostart,showcontrols]
%  \movie[label=show3,width=54mm,poster,showcontrols]
%  {\includegraphics[width=54mm]
%  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_June2018/Displacement_Inclined_Wave_3C.jpg}
%  }
%  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_June2018/Displacement_Inclined_Wave_3C.mp4}
%  \end{flushleft}
%  % online   
%  %\vspace*{-12mm}
%  \begin{flushleft}
%  %\hspace*{-10mm}
%  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_June2018/Displacement_Inclined_Wave_3C.mp4}
%    {\tiny (MP4)}
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%  % \hspace*{-15mm}
%  %\movie[label=show3,width=58mm,poster,autostart,showcontrols]
%  \movie[label=show3,width=54mm,poster,showcontrols]
%  {\includegraphics[width=54mm]
%  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_June2018/Displacement_Inclined_Wave_3_times_1C.jpg}
%  }
%  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_June2018/Displacement_Inclined_Wave_3_times_1C.mp4}
%  \end{flushright}
%  \hspace*{-7mm}
%  % online   
%  %\vspace*{-12mm}
%  \begin{flushright}
%  %\hspace*{-4mm}
%  \vspace*{-9mm}
%  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_June2018/Displacement_Inclined_Wave_3_times_1C.mp4}
%    {\tiny (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 Real-ESSI 
% %     \begin{itemize}
% %      \item[] interface geometrical mapping
% %      \item[] handle different mesh size
% %      \item[] BCs interpolation \& updating 
% %      \item[] boundary mass conservation iteration 
% %     \end{itemize}
%   \item[]  Real-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam 
% %  \item[] Shepherd method
% %   \begin{itemize}
% %    \item[] Real-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ OpenFoam
% %    \item[] explicit transient algorithm
% %    \item[] handle different time step length
% %   \end{itemize} 
% 
% 
%  \end{itemize}
%  \vspace{0.2cm}
% % \scriptsize gmFoam: https://github.com/hexiang6666/gmFoam
%  \end{column}
%  \begin{column}{.4\textwidth}
%  \vspace{-1cm}
%    \begin{figure}[!H]
%     \begin{center}
%      \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_08June2017/pic/gmFoam.pdf}
%     \end{center}                       
%    \end{figure}
%  \end{column}
%  \end{columns}
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % 
% %  \begin{frame}
% %   \frametitle{Semi-Coupled Solid Fluid Interaction}
% %   \begin{itemize}
% %    \item[] Utilize VOF implemented in interFoam
% %    \setbeamertemplate{itemize items}[circle]
% %     \begin{itemize}
% %     \item[] avoid tracking free surface
% %     \item[] relatively fixed BCs
% %     \item[] relatively fixed background mesh
% %     \end{itemize}
% %   \end{itemize}
% %   \vspace{-0.3cm}
% %   \begin{itemize}
% %   \item[] Interface class \textbf{SSFI} added in Real-ESSI 
% %     \setbeamertemplate{itemize items}[circle]
% %     \begin{itemize}
% %     \item[] interface geometrical mapping
% %     \item[] handle different mesh size
% %     \item[] BCs interpolation \& updating 
% %     \item[] boundary mass conservation iteration 
% %     \end{itemize}
% %   \end{itemize}
% %   \vspace{-0.3cm}
% %   \begin{itemize}
% %    \item[] Shepherd method
% %     \setbeamertemplate{itemize items}[circle]
% %     \begin{itemize}
% %     \item[] Real-ESSI $\Longleftrightarrow$ SSFI $\Longleftrightarrow$ InterFoam
% %     \item[] explicit transient algorithm
% %     \item[] handle different time step length
% %     \end{itemize} 
% %   \end{itemize}
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\section{Summary}

\subsection*{Summary}


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% \item Max  Planck: 
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% \item  Fran{\c c}ois-Marie Arouet,  Voltaire: 
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% \item  Niklaus  Wirth:   
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%    \item Importance   of   using  proper  models  correctly  (verification,
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    \item Numerical modeling to predict and inform, rather than fit

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    \item Education and Training is the key!


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%    \item Collaborators: Feng, Han, Behbehani, Sinha, Wang, Pisan{\'o}, Abell,
   
   

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  \item  Funding  from  and  collaboration  with  the US-DOE, US-NRC, CNSC-CCSN,
  US-NSF, Caltrans, UN-IAEA, and Shimizu Corp. is greatly appreciated,

     
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  \item Real-ESSI/MS-ESSI Simulator System: \\
   {\bf \url{http://real-essi.info/}} \\ 
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  \item Lecture Notes, Book: \\
   {\bf \url{http://sokocalo.engr.ucdavis.edu/~jeremic/LectureNotes/}}

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