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

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

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%from http://mailman.mit.edu/pipermail/macpartners/2005-January/000780.html
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% \fi
% %*****************************************


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%  \usetheme{Marburg} % ima naslov i sadrzaj sa desne strane
%  \usetheme{Hannover} % ima naslov i sadrzaj sa leve strane
%  \usetheme{Singapore} % ima sadrzaj i tackice gore
%  \usetheme{Antibes}  % ima sadrzaj gore i kao graf ...
%  \usetheme{Berkeley} % ima sadrzaj desno
%  \usetheme{Berlin} % ima sadrzaj gore i tackice
%  \usetheme{Goettingen} % ima sadrzxaj za desne strane
%  \usetheme{Montpellier} % ima graf sadrzaj gore
%  \usetheme{Warsaw}
%  \usetheme{Warsaw}
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    \usecolortheme[RGB={20,0,128}]{structure}

% or ...

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%  \setbeamercovered{transparent}
% or whatever (possibly just delete it)
%  \usecolortheme{albatross} % teget sa svetlim slovima
%  \usecolortheme{beetle} % siva pozadina (vrh plav)
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%%%%%%%
%  \usecolortheme{BorisJeremic}
%%%%%%%
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%   \usefonttheme[onlylarge]{structuresmallcapsserif}
%   \usefonttheme{structuresmallcapsserif}
}

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\usepackage[greek,english]{babel}



\usepackage{amsmath}
\usepackage{mathrsfs}
\usepackage{amsfonts}

\newcommand{\ud}{{\rm d}}


\usepackage{array}



%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
\definecolor{webgreen}{rgb}{0, 0.35, 0} % less intense green
\definecolor{webblue}{rgb}{0, 0, 0.50} % less intense blue
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  pdfmenubar=true,
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  pdfpagemode={None}
             colorlinks=true,
             linkcolor=webblue,
             citecolor=webblue,
             urlcolor=webblue,
}
% \usepackage[pdfauthor={Boris Jeremic},
%             colorlinks=true,
%             linkcolor=webblue,
%             citecolor=webblue,
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%             linktocpage,
%             pdftex]{hyperref}


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\usepackage[latin1]{inputenc}
% or whatever
\usepackage{times}
\usepackage[T1]{fontenc}
% Or whatever. Note that the encoding and the font should match. If T1
% does not look nice, try deleting the line with the fontenc.



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


\title[Real-ESSI]
        { Beneficial and Detrimental Effects of   \\
          Earthquake Soil Structure Interaction }


%\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, California, USA}
% %{ Professor, University of California, Davis\\
% { University of California, Davis, CA\\
% %  and\\
% %  Faculty Scientist, Lawrence Berkeley National Laboratory, Berkeley }
%   Lawrence Berkeley National Laboratory, Berkeley, CA}
% - Use the \inst command only if there are several affiliations.
% - Keep it simple, no one is interested in your street address.


\date[] % (optional, should be abbreviation of conference name)
{\small 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,
% resp., then you can add a logo as follows:

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

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




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%    \tableofcontents[currentsection]
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\begin{document}

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

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\begin{frame}
  \frametitle{Outline}

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

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% Structuring a talk is a difficult task and the following structure
% may not be suitable. Here are some rules that apply for this
% solution:

% - Exactly two or three sections (other than the summary).
% - At *most* three subsections per section.
% - Talk about 30s to 2min per frame. So there should be between about
%   15 and 30 frames, all told.

% - A conference audience is likely to know very little of what you
%   are going to talk about. So *simplify*!
% - In a 20min talk, getting the main ideas across is hard
%   enough. Leave out details, even if it means being less precise than
%   you think necessary.
% - If you omit details that are vital to the proof/implementation,
%   just say so once. Everybody will be happy with that.



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Introduction}




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

\subsection{Motivation}



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


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



% 


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


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




%\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,  ${M}  \ddot{u_i}  +  {C}  \dot{u_i} + {K}^{ep} {u_i} = {F(t)}$,

  \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  $\sigma_{ij}$,  $\epsilon_{ij}$,  $u_i$,  $\dot{u}_i$,  $\ddot{u}_i$
%

  \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{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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%   \frametitle{Real-ESSI Simulator System}
%   
%   The  Real-ESSI, 
%   ({\underline {\bf Real}}istic  
%   {{M}}odeling  and  
%   {{S}}imulation  of  
%   %{\underline {\bf M}}odeling  and  
%   %{\underline {\bf S}}imulation  of  
%   {\underline {\bf E}}arthquakes,  
%   {\underline {\bf S}}oils,
%   {\underline {\bf S}}tructures  and  their  
%   {\underline {\bf I}}nteraction)
%   Simulator  is  a  software,  hardware  and
%   documentation   system   for  high  fidelity,  high  performance,  time  domain,
%   nonlinear/inelastic, deterministic or probabilistic, 3D, finite element modeling
%   and simulation of:
%   
%       \begin{itemize}
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%         \item statics and dynamics of soil,
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%         \item    statics and dynamics of rock,
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%         \item    statics and dynamics of structures,
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%         \item    statics of soil-structure systems, and
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%     \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)
%   
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%   \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}
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%     \item Real-ESSI Short Courses (online)
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%   % \item Certification process in progress for NQA-1 and ISO-90003-2014
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%   \item Certification in progress for NQA-1 and ISO-90003-2014
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%      \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.}
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%      \item  V  \&  V  procedures  are  the  primary means of assessing accuracy in
%      modeling and computational simulations
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%   \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}}
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%   Oberkampf et al.
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%   % \frametitle{V\&V Further Reading}
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%   %   
%   %  
%   % \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}
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\section{Earthquake Soil Structure Interaction}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Energy Dissipation, Elasto-Plasticity}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\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: $d W_p = \sigma_{ij} \, d\epsilon_{ij}^{pl}$}
%    
%   \begin{itemize}
%   \item Negative incremental energy dissipation
%   \item Plastic work is NOT plastic dissipation
%   \end{itemize}
%    
%   \begin{figure}[!H]
%   \begin{center}
%   \includegraphics[height=5.2cm]{/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{Energy Dissipation due to Elasto-Plasticity}


\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{Inelastic Modeling for Components}

\begin{itemize}

%\vspace*{1mm}
     \item Soil elastic-plastic
       \begin{itemize}
         \item Dry, single phase
         \item Unsaturated (partially saturated)
         \item Fully saturated
       \end{itemize}


%\vspace*{1mm}
     \item Contact, inelastic, soil/rock -- foundation
       \begin{itemize}
         \item  Dry,  single  phase,  Normal  (hard  and  soft, gap open/close),
                Friction (nonlinear)
         \item Fully saturated, suction and excess pressure (buoyant force)
       \end{itemize}


%\vspace*{1mm}
     \item Structural inelasticity/damage
       \begin{itemize}
         \item Nonlinear/inelastic 1D fiber beam
         \item Nonlinear/inelastic 2D wall element
       \end{itemize}


% %\vspace*{1mm}
%      \item Fluid-Solid interaction (open surface)
%


\end{itemize}

%
\end{frame}

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Sold/Structure -- Fluid Interaction}
%
%
% Still in verification phase, so not use at this time
%
% %\vspace*{-5mm}
% \begin{center}
% % \hspace*{-15mm}
% \movie[label=show3,width=6cm,poster,autostart,showcontrols]
% {\includegraphics[width=6.5cm]
% {/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/Solid-Fluid-Interaction.jpg}}
% {/home/jeremic/tex/works/Thesis/HexiangWang/Files_06June2017/pic/Solid_Fluid_Interaction.mp4}
% \end{center}
%
%
%
%
% \end{frame}
%
%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\subsection{Inelastic Behavior of an SMR}





% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
%  \frametitle{Modeling Uncertainties for Embedded Structures}
%  \begin{itemize}
%   \item Ground motions: 1D seismic records, deconvolution\\
%   \item Motion-input method: directly imposed excitation, no SSI\\
%   \item Neglected non-linear behaviors:\\
%   \setbeamertemplate{itemize items}[circle]
%    \begin{itemize}
%    \item material nonlinearity
%    \item soil-structure interface nonlinearity
%    \end{itemize}
%  \end{itemize}
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%\subsection{Modeling Procedure}

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
%  \frametitle{Model Development}
% % \small -geometry, mesh, contacts, BCs, damping
%
%  \vspace{-2mm}
%  \begin{figure}[!H]
%   \begin{center}
%    \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Parallel_Fancy.png}
%    \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_2.pdf}
%   \end{center}
%  \end{figure}
%
%
% % Model 1 (structure:DRM=1:1)\quad\quad\quad\quad Model 2 (structure:DRM=1:4)
%
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%
%  \frametitle{3D free field motion transition}
%
%  \begin{figure}[!H]
%   \begin{center}
%    \includegraphics[width=\linewidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SW42DRM.pdf}
%   \end{center}
%  \end{figure}
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Soil Modeling Parameters}
 \begin{columns}[T]
  \begin{column}{.6\textwidth}
  \vspace*{-0.5cm}
   \begin{figure}[!H]
    \begin{center}
     \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/parameters.png}
    \end{center}
   \end{figure}
  \end{column}
  \begin{column}{.4\textwidth}
%  \centerline{\scriptsize Armstrong Frederick kinematic hardening}
  \vspace*{-0.3cm}
   \begin{figure}[!H]
    \begin{center}
\vspace*{-3mm}
     \includegraphics[width=4.5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/ha=30Mpa.png}
\\
     \includegraphics[width=3.5cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/SoftContact.pdf}
    \end{center}
   \end{figure}
% \small{Relationship between shear wave velocity and shear strength:\\}
%   \vspace{-0.2cm}
%            \begin{equation*}
%             V_s=23S^{0.475}
%            \end{equation*}
  \end{column}
 \end{columns}
\end{frame}

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

%\subsection{Modeling Result}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Representative points}
 \begin{columns}[T]
  \begin{column}{.5\textwidth}
   \vspace{-0.5cm}
   \begin{figure}[!H]
      \begin{center}
        \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
     \end{center}
   \end{figure}
  \end{column}
  \begin{column}{.5\textwidth}
  \vspace{0.6cm}
  \centerline{\scriptsize Location of points}
  \vspace{-0.6cm}
   \begin{figure}[!H]
      \begin{center}
        \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/representative_points.pdf}
     \end{center}
   \end{figure}
  \end{column}
 \end{columns}
\end{frame}

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


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{SMR: Inelastic ESSI Effects, Top Center}


\vspace*{-30mm}

  \begin{figure}[!H]
     \begin{flushleft}
       \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_ax_time_series.pdf}
       \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_ay_time_series.pdf}
       \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_az_time_series.pdf}
      \\
       \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_ax_fft.pdf}
       \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_ay_fft.pdf}
       \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_az_fft.pdf}
    \end{flushleft}
  \end{figure}


\vspace*{-75mm}

  \begin{figure}[!H]
     \begin{flushright}
     \hspace*{30mm}
       \includegraphics[width=2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
     \hspace*{-10mm}
    \end{flushright}
  \end{figure}



\end{frame}

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

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{SMR: ESSI Effects, Location}
%
%
%
%
%
% \vspace*{-30mm}
%
%   \scriptsize \hspace*{20mm} Point 3 \hspace*{25mm} Point 4   \hspace*{20mm}  Point 5
%   \begin{figure}[!H]
%      \begin{flushleft}
%        \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point3_ax_time_series.pdf}
%        \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point4_ax_time_series.pdf}
%        \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point5_ax_time_series.pdf}
% \\
%        \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point3_ax_fft.pdf}
%        \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point4_ax_fft.pdf}
%        \includegraphics[width=3.6cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point5_ax_fft.pdf}
%     \end{flushleft}
%   \end{figure}
%
%
% \vspace*{-75mm}
%
%   \begin{figure}[!H]
%      \begin{flushright}
%      \hspace*{30mm}
%        \includegraphics[width=2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
%      \hspace*{-10mm}
%     \end{flushright}
%   \end{figure}
%
%
%
%
%
%
% %
% %
% %
% %   \begin{columns}[T]
% %   \begin{column}{0.8\textwidth}
% %    \vspace{-0.6cm}
% %    \scriptsize \quad \quad \quad \quad Point 3\quad \quad \quad \quad \quad \quad \quad Point 4\quad \quad \quad \quad \quad \quad Point 5
% %    \vspace{-0.3cm}
% %    \begin{figure}[!H]
% %       \begin{center}
% %         \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point3_ax_time_series.pdf}
% %         \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point4_ax_time_series.pdf}
% %         \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point5_ax_time_series.pdf} \\
% %         \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point3_ax_fft.pdf}
% %         \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point4_ax_fft.pdf}
% %         \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point5_ax_fft.pdf}
% %      \end{center}
% %    \end{figure}
% %    \vspace{-0.3cm}
% %    \begin{itemize}
% %     \item Nonlinear effects attenuate along the depth
% %    \end{itemize}
% %   \end{column}
% %   \begin{column}{0.3\textwidth}
% %    \begin{figure}[!H]
% %       \begin{center}
% %         \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
% %      \end{center}
% %    \end{figure}
% %   \end{column}
% %   \end{columns}
%
%
%
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{SMR: ESSI Effects, Material Modeling}
 \begin{columns}[T]
 \begin{column}{0.6\textwidth}
  \scriptsize \quad \quad \quad \quad  \quad Material A\quad \quad \quad \quad \quad \quad \quad Material B
  \vspace{-3mm}
  \begin{figure}[!H]
     \begin{center}
       \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_ax_time_series.pdf}
       % \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_me_point1_ax_time_series.pdf}
       \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bilinear_point1_ax_time_series.pdf} \\
       \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_ax_fft.pdf}
       % \includegraphics[width=0.3\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_me_Point1_ax_fft.pdf}
       \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bilinear_Point1_ax_fft.pdf}
    \end{center}
  \end{figure}
  \vspace{-0.3cm}
  % \begin{itemize}
  %  \item
  % \end{itemize}
 \end{column}
 \hspace{-0.3cm}
 \begin{column}{0.3\textwidth}
 \vspace{-0.35cm}
  \begin{figure}[!H]
     \begin{center}
       \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/ha=30Mpa.png} \\
       \tiny \quad Material A: nonlinear, vM - AF\\
       \vspace{0.2cm}
       \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/material_stress_strain_behavior.pdf} \\
       \tiny \quad Material B: Bilinear\\
    \end{center}
  \end{figure}
 \end{column}
 \end{columns}
\end{frame}

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

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{SMR: Accelerations Along Depth}

 \vspace{-0.6cm}

 \begin{columns}[T]

 \hspace{-0.6cm}

 \begin{column}{1.1\textwidth}

  \begin{figure}[!H]
     \begin{center}
       \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_acceleration_depth_variation.pdf}\hspace{-0.7cm}
       \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_a_depth_variation_AF.pdf}
    \end{center}
  \end{figure}

  \vspace{-1.1cm}

  \begin{figure}[!H]
     \begin{center}
       \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_acceleration_depth_variation_elastic.pdf}\hspace{-0.7cm}
       \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_acceleration_depth_variation.pdf}
    \end{center}
  \end{figure}
 \end{column}


 \hspace{-0.7cm}
 \begin{column}{0.15\textwidth}
 \vspace{1.5cm}
 Nonlinear site effects\\
 \vspace{2.5cm}
 SSI effects
 \end{column}
 \end{columns}
\end{frame}

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

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{SMR: Displacements Along Depth}
%  \vspace{-0.6cm}
%  \begin{columns}[T]
%  \hspace{-0.5cm}
%  \begin{column}{1.1\textwidth}
%   \begin{figure}[!H]
%      \begin{center}
%        \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_displacement_depth_variation.pdf}\hspace{-0.7cm}
%        \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_AF_u_depth_variation.pdf}
%     \end{center}
%   \end{figure}
%   \vspace{-1.1cm}
%   \begin{figure}[!H]
%      \begin{center}
%        \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_displacement_depth_variation_elastic.pdf}\hspace{-0.7cm}
%        \includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_displacement_depth_variation.pdf}
%     \end{center}
%   \end{figure}
%  \end{column}
%  \hspace{-0.7cm}
%  \begin{column}{0.15\textwidth}
%  \vspace{1.5cm}
%  Nonlinear site effects\\
%  \vspace{2.5cm}
%  SSI effects
%  \end{column}
%  \end{columns}
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Depth variation - PGA \& PGD}
 \vspace{-0.9cm}
  \begin{figure}[!H]
     \begin{center}
     \hspace*{-10mm}
       \includegraphics[width=0.6\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/depth_variation_peak_AH_annotation.pdf}
       \includegraphics[width=0.6\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/depth_variation_peak_UH_annotation.pdf}
     \hspace*{-5mm}
    \end{center}
  \end{figure}
  \vspace{-0.5cm}
  \begin{itemize}
   \item \scriptsize The PGA \& PGD of SSI systems are (very) different from free field motions,
   \item \scriptsize Material nonlinearity has significant effect on acceleration response.
%   \item \scriptsize Deconvolution methodology for analysis of embedded structure is inaccurate and even dangerous.
  \end{itemize}
\end{frame}

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

%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Simulation video}
%  \centerline{\href{http://cml08.engr.ucdavis.edu/for_professor/SMR.mp4}{Elastic vs Inelastic-This is a link!!}}
%  \begin{figure}[!H]
%     \begin{center}
%       \includegraphics[width=0.8\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_comparison.png}
%    \end{center}
%  \end{figure}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


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%  \begin{frame}
%  
%  \frametitle{Elastic and Inelastic Response: Differences}
%  
%  % Elastoplastic soil with contact elements
%  %% Both solid and contact elements dissipate energy
%  
%  % \vspace*{-5mm}
%  \begin{center}
%  % \hspace*{-15mm}
%  \movie[label=show3,width=9cm,poster,autostart,showcontrols]
%  {\includegraphics[width=9cm]
%  {/home/jeremic/tex/works/Thesis/HexiangWang/Files_13June2017/SMiRT_SMR_hexiang.jpg}}
%  {/home/jeremic/tex/works/Thesis/HexiangWang/Files_13June2017/SMiRT_SMR_hexiang.mp4}
%  \end{center}
%  
%  
%  \begin{flushleft}
%  \vspace*{-15mm}
%  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_August2017/SMiRT_SMR_hexiang.mp4}
%  %  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
%    {\tiny (MP4)}
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\begin{frame}

\frametitle{Energy Dissipation for an SMR}

% Elastoplastic soil with contact elements
%% Both solid and contact elements dissipate energy


% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=9cm,poster,autostart,showcontrols]
{\includegraphics[width=9cm]
{/home/jeremic/tex/works/Conferences/2017/SMiRT_24/present/Nonlinear_Analysis_of_ESSI_for_SMR/SMR_Energy_Dissipation_screen_grab.jpg}}
{/home/jeremic/tex/works/Thesis/HanYang/Files_16Aug2017/SMR_Energy_Dissipation.mp4}
\end{center}



\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/SMR_Energy_Dissipation.mp4}
%  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
  {\tiny (MP4)}
\end{flushleft}
%


\end{frame}







%  
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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}
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%     \frametitle{Fully Coupled Formulation, u-p-U}
%    
%    
%    \begin{itemize}
%     
%      \item Fully saturated soil
%      \item Partially, un-saturated soil
%    
%    \end{itemize}
%    
%    % 
%    %
%    \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}
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%     \frametitle{Fully Coupled Formulation, u-p-U}
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%    \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}
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%    %  \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}
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%    \includegraphics[width=4.5truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_04.jpg}
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%    \includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_01.jpg}
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%    % \includegraphics[width=10truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_02.jpg}
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%    \frametitle{Liquefaction, Stress-Strain Response}
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%    \begin{center}
%    \includegraphics[width=5.5truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_03.jpg}
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%    \frametitle{Pile in Liquefiable Soil, Model}
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%    \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}
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%    \begin{center}
%    \includegraphics[width=6truecm]{/home/jeremic/tex/works/Conferences/2018/Oersted-DONG-Energy/present/Pile_in_liquefied_soil.jpg}
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%     \frametitle{Dam, 3D  Slope Stability}
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%    \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
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%    %   \quad \href{http://cml08.engr.ucdavis.edu/for_professor/fluid_model_simulation.mp4}{Water Break without SFI}\quad \quad \quad \quad \quad \href{http://cml08.engr.ucdavis.edu/for_professor/Solid_Fluid_Interaction.mp4}{Box Sloshing with SFI}
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\subsection{Seismic Motions}

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\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}




%
% 
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% \begin{figure}[!htb]
% \begin{center}
% \includegraphics[width=6.5cm]{/home/jeremic/tex/works/Conferences/2015/CNSC_July/Present/Stress_test_NPP_idea.jpg}
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% \end{center}
% \end{figure}



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\begin{frame}
 \frametitle{Stress Test Wavelet 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}
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\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}
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\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/free_field_frequency.mp4}
  {\tiny (MP4)}
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% 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  
   

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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}
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%   {\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}
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% % \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_01AApr2015/movie_input_closeup.mp4}
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% % 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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\section{Summary}

\subsection*{Summary}


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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!


% \vspace*{1mm}
%    \item Collaborators: Feng, Han, Behbehani, Sinha, Wang, Pisan{\'o}, Abell,
   
   

\vspace*{2mm}
  \item  Funding  from  and  collaboration  with  the US-DOE, US-NRC, US-NSF, 
  CNSC-CCSN, UN-IAEA, and Shimizu Corp. is greatly appreciated,

     
\vspace*{2mm}
  \item Real-ESSI/MS-ESSI Simulator System: \\
   {\bf \url{http://real-essi.info/}} \\ 
  {\bf \url{http://ms-essi.info/}} 

      
\vspace*{2mm}
  \item Lecture Notes, Book: \\
   {\bf \url{http://sokocalo.engr.ucdavis.edu/~jeremic/LectureNotes/}}

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