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% for inclusion of other PDF pages, in this case Frank's presentation
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%This is a macro to  convert eps to pdf files on the fly.
% make sure figure syntax uses graphicx syntax NOT epsfig syntax
%from http://mailman.mit.edu/pipermail/macpartners/2005-January/000780.html
%
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% % we are running LaTeX, not pdflatex
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% \else
% % we are running pdflatex, so convert .pdf files to .pdf
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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}
  \usetheme{Dresden}
    \usecolortheme[RGB={20,0,128}]{structure}

% or ...

  \setbeamercovered{transparent}


%  \setbeamercovered{transparent}
% or whatever (possibly just delete it)
%  \usecolortheme{albatross} % teget sa svetlim slovima
%  \usecolortheme{beetle} % siva pozadina (vrh plav)
  \usecolortheme{seagull} % sivo
%%%%%%%
%  \usecolortheme{BorisJeremic}
%%%%%%%
%  \usecolortheme{rose}
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\usepackage{mathrsfs}
\usepackage{amsfonts}

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


\usepackage{tikz}

\usetikzlibrary{calc}

\usepackage[export]{adjustbox}


\usepackage{array}



%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
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\definecolor{webblue}{rgb}{0, 0, 0.15} % less intense blue
\definecolor{webred}{rgb}{0.15, 0, 0} % less intense red
%\usepackage[colorlinks=true,linkcolor=webblue,citecolor=webred,urlcolor=webgreen]{hyperref}

\usepackage{hyperref}
\hypersetup{
  pdfmenubar=true,
  pdftoolbar=true,
  pdfpagemode={None}
% % Commenting this out fixes Windows acrobat problem (?!)
%              colorlinks=true,
%              linkcolor=webblue,
%              citecolor=webblue,
%              urlcolor=webblue,
}
% \usepackage[pdfauthor={Boris Jeremic},
%             colorlinks=true,
%             linkcolor=webblue,
%             citecolor=webblue,
%             urlcolor=webblue,
%             linktocpage,
%             pdftex]{hyperref}


\usepackage{pause}
% or whatever
%\usepackage{html}
%\usepackage{url}

\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[MS-ESSI]
      {Modeling and Simulation of \\
      Earthquakes, Soils, Structures and \\
       their Interaction}
%      {Interface Between Earthquake Ground Motions and Structural
%Response: Numerical Modeling and Simulation of ESSI Behavior}


%\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=0.15cm]{UCD-logo}{/home/jeremic/BG/amblemi/UCD/ucdavis_logo_blue_sm}
%  \pgfdeclareimage[height=0.18cm]{lbnl-logo}{/home/jeremic/BG/amblemi/LBNL/BerkeleyLab_Masterbrand_logo}
% % \pgfdeclareimage[height=0.15cm]{ESSI-C-logo}{/home/jeremic/BG/amblemi/ESSI/ESSI_Consultants_gray_02}
%  \pgfdeclareimage[height=0.17cm]{ESSI-C-logo}{/home/jeremic/BG/amblemi/ESSI/ESSI_Consultants_white_01}

 \pgfdeclareimage[height=0.20cm]{UCD-logo}{/home/jeremic/BG/amblemi/UCD/UCD_white_01}
 \pgfdeclareimage[height=0.20cm]{LBNL-logo}{/home/jeremic/BG/amblemi/LBNL/LBNL_white_01}
% \pgfdeclareimage[height=0.15cm]{ESSI-C-logo}{/home/jeremic/BG/amblemi/ESSI/ESSI_Consultants_gray_02}
 \pgfdeclareimage[height=0.20cm]{ESSI-C-logo}{/home/jeremic/BG/amblemi/ESSI/ESSI-C_white_01}


 
 \pgfdeclareimage[height=0.40cm]{Best_PSHANI_2018_logo}{/home/jeremic/tex/works/Conferences/2018/BestPSHANI/Presentation/Best_PSHANI_2018_logo}

%\author[Jeremi{\'c} et al. Best PSHANI] % (optional, use only with lots of authors)
\author[Jeremi{\'c} et al. \hspace*{0.15truecm} \pgfuseimage{Best_PSHANI_2018_logo}] % (optional, use only with lots of authors)
%{Boris~Jeremi{\'c}}
{Boris Jeremi{\'c} \\
Hexiang Wang, Han Yang, Maxime Lacour, Yuan Feng}

%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
\institute[\pgfuseimage{UCD-logo}\hspace*{0.15truecm}\pgfuseimage{LBNL-logo}] % (optional, but mostly needed)
%\institute[\pgfuseimage{UCD-logo}\hspace*{0.15truecm}\pgfuseimage{LBNL-logo}\hspace*{0.15truecm}\pgfuseimage{ESSI-C-logo}] % (optional, but mostly needed)
%\institute[\pgfuseimage{UCD-logo}\mbox{;}\pgfuseimage{LBNL-logo}\mbox{;}\pgfuseimage{ESSI-C-logo}] % (optional, but mostly needed)
%{ Professor, University of California, Davis\\
{ University of California, Davis, CA\\
%  and\\
%  Faculty Scientist, Lawrence Berkeley National Laboratory, Berkeley }
  Lawrence Berkeley National Laboratory, Berkeley, CA}
%  ESSI Consultants, Davis, 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 Best PSHANI\\
        Ch{\^ a}teau de Cadarache, France\\
         Mai 2018}

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



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

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

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




% Delete this, if you do not want the table of contents to pop up at
% the beginning of each subsection:
% \AtBeginSubsection[]
\setcounter{tocdepth}{3}
\AtBeginSubsection[]
% \AtBeginSection[]
 {
   \begin{scriptsize}
   \begin{frame}<beamer>
     \frametitle{Outline}
     \tableofcontents[currentsection,currentsubsection]
%    \tableofcontents[currentsection]
   \end{frame}
   \end{scriptsize}
 }


% If you wish to uncover everything in a step-wise fashion, uncomment
% the following command:





\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}

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

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

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

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



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




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\subsection{Motivation}



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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Motivation}


\begin{itemize}

  \item  Improve safety and economy of infrastructure objects
 
\vspace*{2mm}
  \item    Improve  numerical    modeling    and  simulation  for infrastructure
  objects, nuclear installations

\vspace*{2mm}
 \item Quality assurance, verification \& validation

\vspace*{2mm}
 \item Practical numerical modeling and simulation system

\vspace*{2mm}
  \item    Select  level  of  sophistication numerical models to analyze earthquake
  soil structure interaction of nuclear installations


\end{itemize}


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



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


\begin{itemize}




%\vspace*{1mm}
  \item    Modeling uncertainty, introduced by simplifying assumptions, need for
  capability  to  perform  lower and higher level of sophistication modeling and
  simulation



\vspace*{4mm}
  \item    Parametric    uncertainty,  propagation  of uncertainty   in material
  $K^{ep}$ and loads $F(t)$, through: 
  ${M}  \ddot{u_i}  +  {C}  \dot{u_i} + {K}^{ep} {u_i} = {F(t)}$,   resulting in
  PDFs   and   CDFs  for  $\sigma_{ij}$,  $\epsilon_{ij}$,  $u_i$,  $\dot{u}_i$,
  $\ddot{u}_i$
%



\vspace*{4mm}
  \item   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{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{Flow of Seismic Energy}


\begin{itemize}




    \item Seismic energy input into the ESSI system


\vspace*{3mm}
  \item Seismic energy dissipation outside of ESSI system
    \begin{itemize}
\vspace*{1mm}
      \item Wave reflections
\vspace*{1mm}
      \item Structural oscillations, wave radiation
  \end{itemize}



\vspace*{3mm}
  \item Seismic energy dissipation within ESSI system
    \begin{itemize}
\vspace*{1mm}
      \item Viscous effects (soil, fluid containers...)
\vspace*{1mm}
      \item Inelastic effects (soil, concrete, contacts, dissipators...)
\vspace*{1mm}

  \end{itemize}


      \item Numerical energy dissipation and production




\end{itemize}


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




%
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \begin{frame}
%   \frametitle{ESSI Issues for SMRs}
%  
%  \begin{figure}[!hbpt]
%  \begin{center}
%  %\vspace*{-0.2cm}
%  % %\includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2014/ASME_SMR_Symposium/present/SMR01_a.jpg}
%  % \includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2014/ASME_SMR_Symposium/present/SMR02_a.jpg}
%  % %
%  \includegraphics[width=3.5cm]{/home/jeremic/tex/works/Conferences/2014/ASME_SMR_Symposium/present/SMR02_a_01-GRAY_pdf.pdf}
%  %                      ]
%  \hspace*{3mm}
%  \includegraphics[width=3.5cm]{/home/jeremic/tex/works/Conferences/2014/ASME_SMR_Symposium/present/SMR02_a_02-GRAY_pdf.pdf}
%  %
%  \\
%  %
%  \includegraphics[width=3.5cm]{/home/jeremic/tex/works/Conferences/2014/ASME_SMR_Symposium/present/SMR02_a_03-GRAY_pdf.pdf}
%  %
%  \hspace*{3mm}
%  \includegraphics[width=3.5cm]{/home/jeremic/tex/works/Conferences/2014/ASME_SMR_Symposium/present/SMR02_a_04-GRAY_pdf.pdf}
%  %\vspace*{-0.6cm}
%  \end{center}
%  \end{figure}
%  
%  \end{frame}
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  
%  
%  









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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Modeling and Simulation}

      



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Seismic Motions}


 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Stress Test Motions and Regional Scale Motions}

\begin{itemize}



%\vspace*{2mm}
  \item Stress test motions
    \begin{itemize}
       \item 3D - 6C, Haskel's solution for plane harmonic waves
       \item 3D - 3$\times$1C 
       \item 3D - 1C
       \item 1D - 1C 
    \end{itemize}




\vspace*{2mm}
  \item      High  fidelity (?) free  field regional scale seismic motions using
  SW4, courtesy of Dr.~Rodgers, Dr.~Pitarka and Dr.~Petersson (LLNL)



\vspace*{2mm}
  \item Knowledge of geology and  the site is important





\end{itemize}
 
\end{frame}






%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Example Structure, a Small Modular Reactor (SMR)}



%\vspace*{-4mm}  
\begin{figure}[!htb]
\begin{center}
%\hspace*{-5mm}
\includegraphics[width=5.2cm]{/home/jeremic/tex/works/Reports/2012/DOE-LLNL-SSI/SMR_generic_LLNL_01.jpg}
\end{center}
\end{figure}


 
\end{frame}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Stress Test Motions}


%\vspace*{-10mm}  

\begin{itemize}

\item Variation in inclination, frequency, energy and duration

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

\end{itemize}



%\vspace*{-4mm}  
\begin{figure}[!htb]
\begin{flushleft}
\hspace*{-5mm}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Conferences/2018/BestPSHANI/Presentation/stress_test_Best_SHANI_May2018.jpg}
\end{flushleft}
\end{figure}



\vspace*{-45mm}  
\begin{figure}[!htb]
\begin{flushright}
\includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2015/CNSC_July/Present/Stress_test_NPP_idea.jpg}
\hspace*{-5mm}
\end{flushright}
\end{figure}


\vspace*{-5mm}  
\begin{figure}[!htb]
\begin{flushright}
\includegraphics[width=4cm]{/home/jeremic/tex/works/consulting/2017/IAEA/TECDOC/Version_14Mar2017/1Dvs3x1Dvs3D_waves_02.pdf}
\hspace*{-5mm}
\end{flushright}
\end{figure}




\end{frame}










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

\frametitle{Free Field, Variation in Input Wave Angle,  $f = 5$Hz}

% 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_angle.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/free_field_inclination.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_inclination.mp4}
  {\tiny (MP4)}
\end{flushleft}
% online  
   

\end{frame}

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


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

\frametitle{SMR ESSI, Variation in Input Wave Angle,  $f = 5$Hz}

% 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/SMR_ESSI_4_inclinations.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_May2018/SMR_ESSI_4_inclindations.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/SMR_animations_May2018/SMR_ESSI_4_inclindations.mp4}
  {\tiny (MP4)}
\end{flushleft}
% online  
   

\end{frame}

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



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

\frametitle{Free Field, Variation in Input Frequency, $\theta = 60^{o}$}

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

     
% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
%\movie[label=show3,width=10cm,poster,autostart,showcontrols]
\movie[label=show3,width=10cm,poster,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/Free_Field_variation_in_wave_frequency.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/free_field_frequency.mp4}
\end{center}
        
% online   
\vspace*{-12mm}
\begin{flushleft}
\hspace*{-4mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/free_field_frequency.mp4}
  {\tiny (MP4)}
\end{flushleft}
% online  
   

\end{frame}

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



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

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

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

     
% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
%\movie[label=show3,width=10cm,poster,autostart,showcontrols]
\movie[label=show3,width=10cm,poster,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/ESSI_SMR_variation_in_wave_frequency.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_animations_angle_or_frequency_variation/SMR_frequency.mp4}
\end{center}
        
% online   
\vspace*{-12mm}
\begin{flushleft}
\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}

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



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

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

% 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/SMR_animations_May2018/SMR-ESSI_real_time_four_freq.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/SMR_animations_May2018/SMR-ESSI_real_time_four_freq.mp4}
  {\tiny (MP4)}
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% online  
   

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% OVDE
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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}
    \end{flushright}
  \end{figure}
\end{frame}
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%  \begin{frame}
%  
%  \frametitle{SMR, Free Field vs  ESSI, $f=2.5$Hz, $\theta = 60^{o}$}
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%  % Elastoplastic soil with contact elements
%  %% Both solid and contact elements dissipate energy
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%  {\includegraphics[width=54mm]                                                                                       
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%  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_May2018/SMR_ESSI_f2_5_theta_60.jpg}
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%  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_May2018/SMR_2frequency.mp4}
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%  
%  \frametitle{SMR, Free Field vs  ESSI, $f=10$Hz, $\theta = 60^{o}$}
%  
%  % Elastoplastic soil with contact elements
%  %% Both solid and contact elements dissipate energy
%  
%       
%  % \vspace*{-5mm}
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%  %\movie[label=show3,width=54mm,poster,autostart,showcontrols]
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%  {\includegraphics[width=54mm]
%  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_May2018/SMR_FreeField_f10_theta60.jpg}
%  }
%  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_May2018/SMR_free_field_10frequency.mp4}
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%  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/SMR_animations_May2018/SMR_ESSI_f10_theta60.jpg}
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% \begin{frame} 
%  \frametitle{Free Field Motion Verification}
% 
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%  \begin{figure}[!H] 
%     \begin{center}
%   \hspace*{-8mm}
%       \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_ux_time_series.pdf} 
%   \hspace*{-1mm}
%       \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_uy_time_series.pdf} 
%   \hspace*{-1mm}
%       \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_uz_time_series.pdf} \\
%   \hspace*{-3mm}
% %
% \\
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%       \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_ax_time_series.pdf} 
%   \hspace*{-1mm}
%       \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_ay_time_series.pdf} 
%   \hspace*{-1mm}
%       \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_az_time_series.pdf}  
%   \hspace*{-3mm}
%    \end{center}
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% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 




%     
%  
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \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{Regional Scale Model (Rodgers et al, LLNL)}
% 
%  \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 et al, LLNL)}



%\vspace*{-2mm}
\begin{center}
\hspace*{-15mm}
%
%\movie[label=show3,width=10.0cm,poster,autostart,showcontrols]
\movie[label=show3,width=10.0cm,poster,showcontrols]
  {\includegraphics[width=100mm]{/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*{-15mm}
%
\end{center}


% online   
\vspace*{-12mm}
\begin{flushleft}
\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)}
\end{flushleft}
% online

\end{frame}

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


 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Seismic Motions: SW4 to MS-ESSI}


 \vspace*{-5mm}

 \begin{figure}[!htb]
 \begin{center}
 \hspace*{-10mm}
  \includegraphics[width=12.5truecm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_08June2017/pic/SW42DRM.pdf}
 \end{center}
% \caption{\label{Fig:NPP_Model_In_Real_ESSI} Nuclear Power Plant Model with Shallow Foundation }
 \end{figure}
 
\end{frame}

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



































%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Inelasticity}




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\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/axial  (hard  and  soft, gap open/close),
                friction/shear (inelastic)
         \item Fully saturated, suction and excess pressure (dynamic buoyant force)
       \end{itemize}
     

%\vspace*{1mm}
     \item Structural inelasticity/damage
       \begin{itemize}
         \item Nonlinear/inelastic fiber beam
         \item Nonlinear/inelastic fiber 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}
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% \vspace*{-75mm}
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%   \begin{figure}[!H] 
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%      \hspace*{30mm}
%        \includegraphics[width=2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
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%     \end{flushright}
%   \end{figure}
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% 
% 
% 
% 
% 
% % 
% %  
% %  
% %   \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}
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% %   \end{columns}
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% 
% 
% \end{frame}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \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}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  % 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\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}
 Nonlinear ESSI effects
 \end{column}
 \end{columns}
\end{frame}

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

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


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

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


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




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\begin{frame} 

\frametitle{Stochastic Elastic-Plastic Finite Element Method}

% 

\vspace*{-10mm}
\begin{equation}
{M} \ddot{u_i} +
{C} \dot{u_i} +
{K}^{ep} {u_i} =
{F}
    \nonumber
\end{equation}


\vspace*{-6mm}
\begin{figure}[!hbpt]
\begin{flushright}
%\includegraphics[width=8cm]{/home/jeremic/tex/works/Papers/2007/ProbabilisticYielding/figures/vonMises_G_and_cu_very_uncertain/Contour_PDF-edited.pdf}
\includegraphics[width=4.5cm]{/home/jeremic/tex/works/Conferences/2012/DOE-LLNL-workshop-27-28-Feb-2012/ProbabilisticYielding_vonMises_G_and_cu_very_uncertain_Contour_PDF-edited.pdf}
\end{flushright}
\end{figure}



\vspace*{-45mm}
\begin{flushleft}
\hspace*{-10mm}
% \hspace*{-15mm}
\movie[label=show3,width=7cm,poster,autostart,showcontrols]
{\includegraphics[width=7cm]{/home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Latex/img/figure_elastic_900.png}}
% /home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Latex/img/figure_PEP_25.pdf
%{/home/jeremic/tex/works/Thesis/MaximeLacour/Files_06Jun2017/Panel_Review_Slides_ML/Animations/SEPFEM_Animation_Elastic.mp4}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Probabilistic_Elasto_Plasticity_and_Stochastic_Elastic_Plastic_Finite_Element_Method/SEPFEM_Animation_1D.mp4}
\end{flushleft}


 
\begin{flushright}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Probabilistic_Elasto_Plasticity_and_Stochastic_Elastic_Plastic_Finite_Element_Method/SEPFEM_Animation_1D.mp4}
%  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
  {\tiny (MP4)}
\end{flushright}
%

% \includegraphics[width = 12cm]{./img/figure_elastic_900.pdf}




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\section{Summary}

%\subsection*{Summary}
%\subsection{Summary}
\subsection{\ }

% 


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Summary}

  \begin{itemize}



%vspace*{1mm}
    \item Seismic wave fields, 3C/6C, 3$\times$1C and 1C, for ESSI behavior


\vspace*{2mm}
    \item Inelastic ESSI behavior, soil, contact and structure


%\vspace*{2mm}
%    \item    Numerical   modeling  and  simulation  used  to predict and inform,
%    rather than to (force) fit

  
% \vspace*{1mm}
% %\vspace*{1mm}
%    \item  IAEA TECDOC on SSI

   
  
%\vspace*{1mm}
\vspace*{2mm}
    \item    MS-ESSI    Simulator:  \url{http://ms-essi.info}
%    \href{http://ms-essi.info}{http://ms-essi.info}



% %\vspace*{1mm}
%     \item        Funding/support   from  and  collaboration  with  the US-DOE,
%     US-NRC,   CNSC-CCSN,   US-NSF,   UN-IAEA,   and  Shimizu  Corp.  is  greatly
%     appreciated,



%\vspace*{1mm}
\vspace*{2mm}
    \item        Funding   from  and  collaboration  with  the DOE,
    NRC,   CNSC-CCSN, NSF and  IAEA  is  greatly
    appreciated


\vspace*{2mm}
%\vspace*{1mm}
   \item               Collaborators:  Feng,   Han,  Wang, Sinha, Lacour, Abell,
   Pisan{\`o}, Orbovi{\' c}, McCallen, Petrone, McKenna
   


%\vspace*{2mm}
%    \item Le doute n'est pas un {\'e}tat bien agr{\'e}able, mais l'assurance est
%    un {\'e}tat ridicule (Voltaire)





% %\vspace*{1mm}
%     \item           More    on    modeling  and  simulation  for  SMRs  at  the:
%     Nonlinear/Inelastic  Earthquake  Soil  Structure  Interaction  (ESSI)  short
%     course,     this     fall     in     San    Francisco,    more    info    at
%     \href{http://ms-essi.info}{http://ms-essi.info}
% 
      

\end{itemize}



\end{frame}
%



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{US-DOE: ESSI of  Nuclear Installations}

%OVDE
  \begin{itemize}

    \item[]  The MS-ESSI Simulator: \url{http://ms-essi.info}
%    \item[]  The MS-ESSI Simulator System, \url{http://ms-essi.info}
%    (inelastic, deterministic and probabilistic, time domain, 3D FEM)
%     \href{http://real-essi.us}{http://real-essi.us} 
    
% %    \vspace*{2mm}
%     \item[]  Modeling from seismic source to NPP (LLNL/UCD/LBNL)

    \vspace*{2mm}
    \item[] High Quality Validation test (UNR/UCD/LBNL)


   
%\vspace*{-2mm}
\begin{figure}[!hbpt]
\begin{center}
%
\hspace*{-7mm}
\includegraphics[width=8truecm]{/home/jeremic/tex/works/Conferences/2017/CNWG_INL_16-18_May_2017/Presentation/DOE_project_UNR_test_01.jpg}
\vspace*{-5mm}
\end{center}
\end{figure}



\end{itemize}


\end{frame}






\end{document}

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