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%  \usetheme{Hannover} % ima naslov i sadrzaj sa leve strane
%  \usetheme{Singapore} % ima sadrzaj i tackice gore
%  \usetheme{Antibes}  % ima sadrzaj gore i kao graf ...
%  \usetheme{Berkeley} % ima sadrzaj desno
%  \usetheme{Berlin} % ima sadrzaj gore i tackice
%  \usetheme{Goettingen} % ima sadrzxaj za desne strane
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%      Site Specific Dynamics of Structures: 
%From Seismic Source to 
%the Safety of Occupants and Content


\title[ESSI]
% {Task 2.1, \\
 {Seismic Soil Structure Interaction for \\
 Design and Assessment of \\
  Nuclear Installations}


%\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}] % (optional, use only with lots of authors)
%{Boris~Jeremi{\'c}}
{Boris Jeremi{\'c}
}

%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
%\institute[\pgfuseimage{university-logo}\hspace*{0.1truecm}\pgfuseimage{lbnl-logo}] % (optional, but mostly needed)
\institute[\pgfuseimage{university-logo}] % (optional, but mostly needed)
%{ Professor, University of California, Davis\\
{ University of California, Davis, CA, USA}
%\\
%%  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 UN-IAEA \\
%        External Events Safety Section (EESS), \\
%         Extra-Budgetary Programme (EBP)\\
        External Events Safety Section \\
         Extra-Budgetary Program \\
         15th Plenary Meeting,   October 2021}

\subject{}
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%\logo{\pgfuseimage{university-logo}}

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% Structuring a talk is a difficult task and the following structure
% may not be suitable. Here are some rules that apply for this
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% - Exactly two or three sections (other than the summary).
% - At *most* three subsections per section.
% - Talk about 30s to 2min per frame. So there should be between about
%   15 and 30 frames, all told.

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



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Motivation}




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

%\subsection{Motivation}
\subsection*{\ }



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





 

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

\begin{itemize}



 

%\vspace*{0.3cm}
  \item[-]  Improve  modeling  and  simulation  for  Nuclear Installations
 

% \vspace*{2mm}
%  \item[]  Expert numerical modeling and simulation tool
% 
% \vspace*{1mm}
%   \item[]      Use of numerical models to
%   analyze statics and dynamics of soil/rock-structure systems
% 

\vspace*{3mm}
  \item[-]  Reduction  of modeling, epistemic uncertainty

%\vspace*{3mm}
%  \item[-]  Choice of analysis level of sophistication


\vspace*{3mm}
  \item[-] Propagation of parametric, aleatory uncertainty



\vspace*{3mm}
  \item[-] Goal: Predict and Inform 
%  rather than fit

\vspace*{3mm}
  \item[-] Engineers, Owners, Regulators need to know!




\vspace*{3mm}
  \item[-] Expert analysis tool: 
           \hspace*{3mm}   
          {{\bf \url{http://real-essi.us}}}
%          \fbox{{\bf \url{http://real-essi.us}}}
%    \url{http://sokocalo.engr.ucdavis.edu/~jeremic}
      


%
%  
%  
%  \vspace*{1mm}
%    \item[]  Follow  the  flow, input and dissipation,  of seismic  energy, 

% \vspace*{1mm}
%   \item[]  
% %System  for 
%  {\bf Real}istic modeling and simulation of
%   {\bf E}arthquakes and/or    
%   {\bf S}oils and/or    
%   {\bf S}tructures    and    their    
%   {\bf I}nteraction:\\
%    Real-ESSI 
%  \hspace*{5mm} 
%   \url{http://real-essi.info/} 
% % % %  \hspace*{25mm} 
% %     \url{http://sokocalo.engr.ucdavis.edu/~jeremic/Real_ESSI_Simulator/}
% % %    \href{http://sokocalo.engr.ucdavis.edu/~jeremic/Real_ESSI_Simulator/}{{http://sokocalo.engr.ucdavis.edu/~jeremic/Real_ESSI_Simulator/}
% % %  % \url{http://ms-essi.info/}
% % %  
% % 




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


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Dedication}


% Thick fbox lines 
\setlength{\fboxrule}{1.8pt} 
 
    
%\noindent \rule[.1mm]{\textwidth}{.1mm}
%

\vspace*{5mm}

\noindent
\fbox{Robert P. Kennedy, 1939-2018}

\vspace*{2mm}
\noindent
"Response of a soil structure system \\
 is nonlinear, and I would really \\
 like to know what that response is!"
%
%\noindent
%"There are Engineers and then there are Engineers!"

\vspace*{-25mm}
%\begin{figure}[!htbp]
\begin{flushright}
\includegraphics[width=30mm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Dedication_Photos/Robert_P_Kennedy/Robert_P_Kennedy_07Dec2018.jpg}
% \par
% {Robert P. Kennedy}
% % {Robert P. Kennedy, 07Dec2018}
% % %\caption2{Robert P. Kennedy, 07Dec2018.}
% % %\label{Robert_P_Kennedy_07Dec2018}
\end{flushright}
%\end{figure}


\vspace*{3mm}

\noindent
\fbox{Neboj{\v s}a Orbovi{\' c},  1962-2021}

%\noindent
%"As an engineer, I have to know, with good accuracy, what will happen \\
%to the structure during loading, hence  verification and validation for\\
%modeling is really important"

\vspace*{2mm}
\noindent
"As an engineer, I have to know \\
 what are response sensitivities \\
 to modeling parameters."

\vspace*{-26mm}
%\begin{figure}[!htbp]
\begin{flushright}
\includegraphics[width=30mm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Dedication_Photos/Nebojsa_Orbovic/Nebojsa_Orbovic_26Feb2016.jpg}
% \par
% {Neboj{\v s}a Orbovi{\'c}}
% % {Neboj{\v s}a Orbovi{\'c}, 26Feb20216}
% % %\caption2{Neboj{\v s}a Orbovi{\'c}, 26Feb20216.}
\end{flushright}
%\end{figure}


% back to standard fbox lines 
 \setlength{\fboxrule}{0.2pt} 



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




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Prediction under Uncertainty}


\begin{itemize}




%\vspace*{1mm}
  \item[]    \underline{Modeling, Epistemic Uncertainty}
    \begin{itemize}

\vspace*{1mm}
    \item[] Simplifying modeling assumptions 

\vspace*{1mm}
      \item[] Low, medium, high  sophistication analysis

\vspace*{1mm}
      \item[] Confidence in results:  model sophistication level

    \end{itemize}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vspace*{4mm}
  \item[]   \underline{Parametric, Aleatory Uncertainty}, 

  \begin{itemize}

\vspace*{1mm}
    \item[]    ${M}  \ddot{u_i}  +  {C}  \dot{u_i} + {K}^{ep} {u_i} = {F(t)}$, 

\vspace*{1mm}
    \item[] Uncertain: mass $M$, viscous damping  $C$ and stiffness $K^{ep}$


\vspace*{1mm}
    \item[] Uncertain:  loads, $F(t)$


\vspace*{1mm}
    \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{Goal: Reduction of Modeling Uncertainty}
%   
%   \begin{itemize}
%   
%   
%      \item[-]        Modeling      Uncertainty:   introduced   with   unnecessary and
%      unrealistic modeling simplification
%   
%   \vspace*{3mm}
%     \item[-]  Simplified (or inadequate/wrong) modeling:  important  features    are
%     missed (3C (6C) seismic ground motions, inelasticity, etc.)
%   
%   \vspace*{3mm}
%        \item[-]  Modeling  simplifications   are  justifiable  if  one, two or higher
%        level sophistication model demonstrates that features being simplified out
%        are not important
%   
%   % 
%   % \vspace*{2mm}
%   %      \item  Use  of  HPC  for  low modeling uncertainty and direct probabilistic
%   %      modeling  and  simulations 
%   %      
%   
%   
%   \end{itemize}
%   \end{frame}
%   


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Quality Assurance for Modeling and Simulation \\
            Verification and Validation, V\&V}

\begin{itemize}




% %\vspace*{3mm}
%   \item[] Prediction: use  of  computational  model  to foretell the state of a
%    physical   system   under  consideration  under  conditions  for  which  the
%    computational model has not been validated



%   \vspace*{2.0truecm}
   \item[]  {\bf V\&V} is used to build confidence and
   credibility in modeling and computational simulations

%   \vspace*{1.0truecm}
\vspace*{2mm}
   \item[] {\bf V\&V}  procedures  are  the  primary means of assessing accuracy in
   modeling and computational simulations



\vspace*{2mm}
  \item[] {\bf  Verification} provides evidence that the
   model is solved correctly, mathematics issue


\vspace*{2mm}
  \item[] {\bf Validation} provides
   evidence that the correct model is solved, physics issue




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

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





  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Hypothesis}

\begin{itemize}



%\vspace*{0.5cm}
%  \item[]        Interplay    of  the  Earthquake, Soil/Rock and Structure in time
%  domain, plays a major role in successes and failures
  \item[]      Earthquake, Soil and Structure Interaction (ESSI), in time domain,
  plays a major 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 
      \item[+] Economy
    \end{itemize}

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

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







%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
% \frametitle{Modeling and Simulation Guide}
 \frametitle{Seismic Soil Structure Interaction for \\
    Design and Assessment of \\
    Nuclear     Installations}



\vspace*{5mm}
   

%    Alain Pecker, James J. Johnson and Boris Jeremi{\'c},
%  
%  
%      {\large \bf Seismic Soil Structure Interaction for \\
%      Design and Assessment of \\
%      Nuclear     Installations}
%  
%  \vspace*{3mm}

    UN-IAEA, EESS, EBP, 2016-2021. 

%\vspace*{3mm}


%    (A. Pecker, J.J. Johnson, B. Jeremi{\'c}, A. Altinyollar, N. Orbovi{\'c}, ...)
    (Pecker, Johnson, Jeremi{\'c}, Altinyollar, Haddad, Orbovi{\'c}, 
    Fukushima, Coman, Berge-Thierry, Rangelow, Renault, Tyapin, 
    Houston, Ducau, Lee, Caudron, Clement, Potin, ...)



 
\vspace*{-1mm}
\begin{center}
\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_1654.JPG}
\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_1655.JPG}
\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_1656.JPG}
\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_1657.JPG}
%\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_3667.JPG}
\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_3675.JPG}
\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_7660.JPG}
\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_7671.JPG}
\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_7673.JPG}
% %
% \includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_7700.JPG}
% \includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_7709.JPG}
% \includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_7714.JPG}
% \includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_7725.JPG}
% \includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_7733.JPG}
% %
\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_8914.JPG}
\includegraphics[width=2.00cm]{/home/jeremic/tex/works/Conferences/2021/IAEA_15th_Plenary_Meeting_EESS_EBP_05-08Oct2021/present/IAEA_photos/IMG_8917.JPG}
\end{center}

















%
% \begin{itemize}
%   \item[]
% \end{itemize}
% 

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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{ESSI Behavior of Nuclear Installations}



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



%      
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% \begin{frame}
%   \frametitle{Seismic Hazard, World}
% 
% 
% \vspace*{-3mm}
% \begin{figure}[!hbpt]
% \begin{center}
% %
% \includegraphics[width=11truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/worldseismap.png}
% %
% \end{center}
% \end{figure}
% 
% \end{frame}
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Earthquake Ground Motions}



\vspace*{-14mm}
% \begin{itemize}
% 
% 
% %\vspace*{3mm}
% \item[]  Real earthquake ground motions
   \begin{itemize}
     \item[-] Body waves: Primary (P) and Secondary (S)
     \item[-] Surface waves: Rayleigh, Love, Stoneley...
%     \item[-] Inclined, 3C/6C waves
%     \item[-] Lack of correlation, incoherent motions
%%     \item Earthquake energy  dissipation

   \end{itemize}

% 
% 
% \vspace*{1mm}
% \item[] What are the  effects of real earthquake ground motions on Nuclear
% Installation soil-structure systems ?!
% 
% 
% 
% \end{itemize}


\vspace*{-3mm}
\begin{figure}[!h]
\begin{center}
\hspace*{-5cm}
{\includegraphics[width=5.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/EW_acc4.jpg}}
{\includegraphics[width=5.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/EW_dsp4.jpg}}
\hspace*{-5cm}
\end{center}
\end{figure}
\vspace*{-3cm}




\end{frame}


% \subsection*{Fundamentals}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{T{\=o}hoku Earthquake, Acc, Disp}
% 
% 
% \vspace*{-2cm}
% \begin{figure}[!h]
% \begin{center}
% \hspace*{-5cm}
% {\includegraphics[width=6.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/EW_acc4.jpg}}
% {\includegraphics[width=6.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/EW_dsp4.jpg}}
% \hspace*{-5cm}
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% 
% 
% 
% 
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% \end{frame}
% 
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{T{\=o}hoku  Earthquake (DSP)}
% 
% 
% \vspace*{-2cm}
% \begin{figure}[!h]
% \begin{center}
% {\includegraphics[width=7.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/EW_dsp4.jpg}}
% \end{center}
% \end{figure}
% \vspace*{-3cm}
% 
% 
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% \end{frame}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{T{\=o}hoku Earthquake, 3D Motions}
% 
% 
% \vspace*{-2cm}
% \begin{figure}[!h]
% \begin{center}
% {\includegraphics[width=3.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/Tohoku_1Hz-11-locations.jpg}}
% {\includegraphics[width=6.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_Staff_Capacity_Building_25May2011/Tohoku_1Hz-21.jpg}}
% \end{center}
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% \end{frame}
% 


% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% \begin{frame}
%   \frametitle{1C, 2C, 3C, 6C Seismic Motions}
% 
% \vspace*{2mm}
% 
% \begin{itemize}
% 
%    \item  All (most) measured motions are full 3C, 6C
% 
% \hspace*{5cm}
% 
%    \item What is the effect of neglecting, simplifying out to 1C
% 
% \hspace*{5cm}
%    \item  One example of an almost 2C motion (LSST07, LSST12)
% 
% \vspace*{2mm}
% 
% 
% %
% %   \item  1D (?): M 6.9 San Pablo, Guatemala EQ, 14Jun2017
% %
% \end{itemize}
% 
% 
% \end{frame}
% 
% 
% 
% % 
% % 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% \begin{frame}
%   \frametitle{Lotung, Taiwan ('86) Motions}
% 
% \vspace*{2mm}
% 
% \begin{itemize}
% 
%    \item  Example of 2C motion (?), LSST07, LSST12
% \vspace*{2mm}
% 
% 
% \begin{figure}[!hbpt]
% \begin{center}
% %
% \hspace*{-10mm}
% \includegraphics[width=5.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Lotung_LSST07_FA25.jpeg}
% \includegraphics[width=5.0truecm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Lotung_LSST12_FA25.jpeg}
% \hspace*{-10mm}
% %
% \end{center}
% \end{figure}
%    
% 
% %
% %   \item  1D (?): M 6.9 San Pablo, Guatemala EQ, 14Jun2017
% %
% \end{itemize}
% 
% 
% \end{frame}
% 
%   
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% \begin{frame}
%   \frametitle{San Pablo, Guatemala (2017) Motions}
% 
% \vspace*{2mm}
% 
% data from  \url{http://www.strongmotioncenter.org/}
% 
% %\vspace*{-5mm}
% 
% 
% \begin{figure}[!hbpt]
% \begin{center}
% %
% \hspace*{-10mm}
% \includegraphics[width=5.5truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__01_Guatemala_14Jun2017.jpg}
% \\
% \hspace*{-10mm}
% \includegraphics[width=1.8truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__02_Guatemala_14Jun2017.jpg}
% \includegraphics[width=1.6truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__03_Guatemala_14Jun2017.jpg}
% \includegraphics[width=1.8truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__04_Guatemala_14Jun2017.jpg}
% \includegraphics[width=1.8truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__05_Guatemala_14Jun2017.jpg}
% \includegraphics[width=1.8truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__06_Guatemala_14Jun2017.jpg}
% \includegraphics[width=1.8truecm]{/home/jeremic/oofep/LJUDI/PraveenMalhotra/EQ__07_Guatemala_14Jun2017.jpg}
% \hspace*{-10mm}
% %
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% \end{frame}








% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \begin{frame}
% \frametitle{ESSI: 6C or 1C Seismic Motions}
% 
% 
% \begin{itemize}
% 
% 
% \item Assume that a full 6C (3C) motions at the surface are only recorded in one
% horizontal direction
% 
% 
% \item  From such recorded motions one can develop a vertically propagating shear
% wave (1C) in 1D
% 
% \item  Apply  such  vertically propagating shear wave to same soil-structure
% system
% 
% \end{itemize}
% 
% \vspace*{-3mm}
% \begin{figure}[!H]
% \begin{center}
%  \includegraphics[width=6.5cm]{/home/jeremic/tex/works/Conferences/2015/CompDyn/Present/6D_to_1D_01.jpg}
% \end{center}
% \end{figure}
% 
% 
% 
%  \end{frame}
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% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Realistic Ground Motions}
% 
% \begin{itemize}
% 
%   \item Free field seismic motion models
% 
% \end{itemize}
% 
% % local
% % local
% % local
% \vspace*{-2mm}
% \begin{center}
% %\movie[label=show3,width=8.5cm,poster,autostart,showcontrols,loop]
% \hspace*{-12mm}
% % %\movie[label=show3,width=6.0cm,autostart,showcontrols]
% % \movie[label=show3,width=6.0cm,poster]
% %   {\includegraphics[width=60mm]{movie_input_mp4_icon.jpeg}}{movie_input.mp4}
% % \hspace*{-2mm}
% % %\hfill
% \hspace*{-5mm}
% \movie[label=show3,width=100mm,poster,autostart,showcontrols]
% %\movie[label=show3,width=90mm,poster]
%   {\includegraphics[width=90mm]{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_mp4_icon.jpeg}}
% {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input.mp4}
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\begin{frame}
% \frametitle{Development of Realistic Motions}
 \frametitle{Realistic Seismic Motions, Inclined P and S Waves}

% \begin{itemize}
% 
%   \item[] Seismic sources emits both P and S waves
% 
% \end{itemize}
% 
% online
% online  \begin{center}
% online  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input.mp4}
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% online  \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_closeup.mp4}
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%\movie[label=show3,width=8.5cm,poster,autostart,showcontrols,loop]
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% %\movie[label=show3,width=6.0cm,autostart,showcontrols]
% \movie[label=show3,width=6.0cm,poster]
%   {\includegraphics[width=60mm]{movie_input_mp4_icon.jpeg}}{movie_input.mp4}
% \hspace*{-2mm}
% %\hfill
% %\hspace*{-7mm}
% %\movie[label=show3,width=5.3cm,poster,autostart,showcontrols]
%\movie[label=show3,width=80mm,poster, showcontrols]
\movie[label=show3,width=90mm,showcontrols]
  {\includegraphics[width=90mm]{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_closeup.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_closeup.mp4}
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\begin{frame}
\frametitle{Free Field Motions, 6C vs 1C }



 
\begin{itemize}

  \item One component of motions, from  6C to 1C
%  or 3$\times$1D (it is done all the time!)

  \item  1C, excellent fit, wrong mechanics
%  (goal is to predict and inform and not (force) fit)


\end{itemize}




% local
%\vspace*{-2mm}
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%\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
\movie[label=show3,width=61mm,showcontrols]
  {\includegraphics[width=60mm]{/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_ff_3d_mp4_icon.jpeg}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_3d.mp4}
%\hspace*{-2mm}
%\hfill
%\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
\movie[label=show3,width=61mm,showcontrols]
  {\includegraphics[width=60mm]
  {/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_ff_1d_mp4_icon.jpeg}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_1d.mp4}
\hspace*{-16mm}
\end{center}
% local


% online
\begin{center}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
{\tiny (MP4)}
%
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_1d.mp4}
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\frametitle{NPP ESSI Response, 6C vs 1C }

 
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%\movie[label=show3,width=8.8cm,poster,autostart,showcontrols]
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  {/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_2_npps_mp4_icon.jpeg}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_2_npps.mp4}
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%  \end{center}


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%\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_2_npps.mp4}
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% \begin{frame}
%  \frametitle{When to  use  3C and/or 3$\times$1C}
% 
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% \begin{figure}[!hbpt]
% \begin{center}
% %
% %\includegraphics[width=4.5truecm]{/home/jeremic/tex/works/Papers/2016/3D_vs_3_x_1D_motions/version_04Jan2017/NearFieldESSINPPs/results/3d_vs_1d_6/node_733_acce.pdf}
% %\includegraphics[width=4.5truecm]{/home/jeremic/tex/works/Papers/2016/3D_vs_3_x_1D_motions/version_04Jan2017/NearFieldESSINPPs/results/6/node_733_acce.pdf}
% % %
% % \\
% % \includegraphics[width=9.5truecm]{/home/jeremic/tex/works/Papers/2016/3D_vs_3_x_1D_motions/version_04Jan2017/NearFieldESSINPPs/results/3d_vs_1d_6/node_733_fft.pdf}
% % \\
% \includegraphics[width=11truecm]{/home/jeremic/tex/works/consulting/2017/IAEA/TECDOC/Version_14Mar2017/1Dvs3x1Dvs3D_waves.pdf}
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\frametitle{Free Field, Variation in Input Frequency, $\theta = 60^{o}$}

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

     
% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
%\movie[label=show3,width=10cm,poster,autostart,showcontrols]
\movie[label=show3,width=10cm,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}
        
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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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\begin{frame}

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

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

     
% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
%\movie[label=show3,width=10cm,poster,autostart,showcontrols]
\movie[label=show3,width=10cm,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}
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%\frametitle{SMR ESSI, Variation in Input Frequency, $\theta = 60^{o}$}
\frametitle{SMR ESSI Response, 3C vs 3$\times$1C}

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

     
% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
%\movie[label=show3,width=10cm,poster,autostart,showcontrols]
\movie[label=show3,width=11cm,showcontrols]
{\includegraphics[width=11cm]
{/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}
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%    \scriptsize Acceleration response - Surface center point A
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% \end{textblock*}
% \begin{textblock*}{3cm}(5.6cm,7.6cm) % {block width} (coords) 
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%        \includegraphics[width=3.3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/plots_slides_14May2018/Updated_SMR_slides/pic/1Hz_center_ax.pdf}
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%        \includegraphics[width=3.3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/plots_slides_14May2018/Updated_SMR_slides/pic/1Hz_center_az.pdf}
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\subsection{Plastic Energy Dissipation}



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

\begin{itemize}

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


\vspace*{4mm}
     \item[] Energy dissipation outside SSI domain:
       \begin{itemize}
         \item[] SSI system oscillation radiation
         \item[] Reflected wave radiation
       \end{itemize}
%\vspace*{1mm}
     \item[] Energy dissipation/conversion inside SSI domain:
       \begin{itemize}
         \item[] Inelasticity of soil, interfaces, structure, dissipators
         \item[] Viscous coupling with internal/pore and external fluids
% %         \item[] potential and kinetic energy
%          \item[] potential $\leftarrow \! \! \! \! \! \! \rightarrow$ kinetic energy
       \end{itemize}                           



\vspace*{4mm}
%   \item[] Numerical energy dissipation (numerical damping/production and period  errors)
%   \item[] Numerical energy dissipation (damping/production)
   \item[] Numerical energy dissipation/production


\end{itemize}

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% \begin{frame}
%  
% \frametitle{Plastic Energy Dissipation}
% 
% 
% \vspace*{2mm}
%  
%  Single elastic-plastic element under cyclic shear loading
%  
% \begin{itemize}
% \item[] Difference between plastic work and plastic dissipation
% \item[] Plastic work can decrease
% \item[] Plastic dissipation always increases
% \end{itemize}
%  
% %\vspace*{-7mm}
% \begin{figure}[!hbpt]
% \begin{center}
% \hspace*{-5mm}
% \includegraphics[width=11.0truecm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Dissipation_Material.png}
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% \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}
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% % \hspace*{10mm} Numerical  \hspace*{20mm}  Viscous  \hspace*{20mm} Plasticity 
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% \begin{frame}
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% %\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}
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%  \begin{itemize}
%  
%  %\vspace*{1mm}
%       \item[-] Soil, inelastic, elastic-plastic
%         \begin{itemize}
%           \item[] Dry, single phase
%           \item[] Unsaturated, partially saturated
%           \item[] Fully saturated, liquefaction
%         \end{itemize}
%  
%  
%  %\vspace*{1mm}
%       \item[-] Interfaces/joints, inelastic, soil/rock -- foundation
%         \begin{itemize}
%           \item[]  Dry,  single  phase,  
%             \begin{itemize}
%               \item[]  Normal, hard  and  soft, gap open/close
%               \item[]  Shear, friction, nonlinear
%             \end{itemize}
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%         \end{itemize}
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%  %     damage, cracks
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%           \item[] Nonlinear/inelastic reinforced concrete beams
%           \item[] Nonlinear/inelastic 3D reinforced concrete solids 
%           \item[] Nonlinear/inelastic 3D reinforced concrete shell
%  %         \item[] Alcali Silica Reaction concrete modeling
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%   \begin{figure}[!h]
%   \begin{center}
%    \includegraphics[width=8.5cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/NPP_With_Shallow_Foundation.pdf}
%   \end{center}
% %  \caption{\label{Fig:NPP_Model_In_Real_ESSI} Nuclear Power Plant Model with Shallow Foundation }
%   \end{figure}
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% % \begin{tikzpicture}[remember picture,overlay]
% %     \node[xshift=3.5cm,yshift=-0.6cm] at (current page.center) {\includegraphics[width=0.5\textwidth]{images/Contact_In_Industry}};
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% \begin{frame}
% 
%  \frametitle{Structure Model}
% 
%  The nuclear power plant structure comprise of
%  \begin{itemize}
%   \item Auxiliary building, $f^{aux}_{1}= 8Hz$
%   \item Containment/Shield building, $f^{cont}_{1}= 4Hz$
%   \item Concrete raft foundation: $3.5m$ thick
%  \end{itemize}
%   \begin{figure}[!h]
%   \begin{center}
%    \includegraphics[width=0.8\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/NPP_Model_Auxiliary_And_Containment_Building.pdf}
%   \end{center}
%   \caption{\label{Fig:NPP_Structure_Model_In_Real_ESSI} Auxiliary and Containment Building }
%   \end{figure}
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% \begin{frame}
% 
%  \frametitle{Inelastic Soil and Inelastic Contact/Interface/Joint}
% 
%  \begin{itemize}
%   \item Shear velocity of soil $V_s=500m/s$
%   \item Undrained shear strength (Dickenson 1994) $V_s [m/s] = 23 (S_u [kPa])^{0.475}$
%   \item For $V_s=500m/s$ Undrained Strength $S_u=650kPa$ and Young's Modulus of $E=1.3GPa$
%   \item von Mises, Armstrong Frederick kinematic hardening
%   ($S_u=650kPa$ at $\gamma=0.01\%$; $h_a = 30MPa$, $c_r = 25$)
%   \item Soft interface (concrete-soil), gaping and nonlinear shear
%   \end{itemize}
% 
%  \begin{figure}[!h]
%  \begin{center}
%   \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Von_Mies_non_Linear_Hardening.pdf}
%   \includegraphics[width=3.5cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/SoftContact.pdf}
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%  \begin{center}
% \hspace*{-8mm}
%   \includegraphics[width=3.54cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/D_Acceleration_X.pdf}
%   \includegraphics[width=3.54cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/D_Acceleration_Y.pdf}
%   \includegraphics[width=3.54cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/D_Acceleration_Z.pdf}
% \\
% \hspace*{-8mm}
%   \includegraphics[width=3.54cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/FFT_D_Acceleration_X.pdf}
%   \includegraphics[width=3.54cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/FFT_D_Acceleration_Y.pdf}
%   \includegraphics[width=3.54cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/FFT_D_Acceleration_Z.pdf}
% % \caption{\label{Fig:Response_of_Top_of_Containment_Building} Seismic Response at Top of Containment Building}
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 \frametitle{Accelerations, Elastic vs Inelastic}


\hspace*{-35mm}
  \begin{figure}[!h]
  \vspace*{-2mm}
  \begin{center}
  \hspace*{-15mm}
   \includegraphics[width=7.0cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Acceleration_Elastic_Without_Contact_SMIRT_2017.pdf}
  \hspace*{-20mm}
   \includegraphics[width=7.0cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Acceleration_Inelastic_With_Contact_SMIRT_2017.pdf}
  \hspace*{-25mm}
  \end{center}
 \end{figure}
\hspace*{-35mm}

\hspace*{10mm} Elastic  \hspace*{40mm} Inelastic \hspace*{40mm} 

\end{frame}

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\begin{frame}

 
 \frametitle{Displacements, Elastic vs Inelastic}
 
\hspace*{-35mm}
  \begin{figure}[!h]
  \vspace*{-2mm}
  \begin{center}
  \hspace*{-15mm}
   \includegraphics[width=7.0cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Elastic_Without_Contact_SMIRT_2017.pdf}
  \hspace*{-20mm}
   \includegraphics[width=7.0cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Inelastic_With_Contact_SMIRT_2017.pdf}
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\frametitle{ESSI for an NPP, Plastic Energy Dissipation}

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

% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=10cm,autostart,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/tex/works/Conferences/2017/SMiRT_24/present/3D_Nonlinear_Modeling_and_it_Effects/NPP_Plastic_Dissipation_grab.jpg}}
{/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4}
\end{center}




\begin{flushleft}
\vspace*{-15mm}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/NPP_Plastic_Dissipation.mp4}
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%       \begin{center}
%         \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
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%   \centerline{\scriptsize Location of points}
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%       \begin{center}
%         \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/representative_points.pdf}
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%   \scriptsize \hspace*{20mm} Point 3 \hspace*{25mm} Point 4   \hspace*{20mm}  Point 5
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%      \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}
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% %    \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}
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% %         \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/Points_configuration.pdf}
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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=3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_ax_time_series.pdf}
%        \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bilinear_point1_ax_time_series.pdf} \\
%        \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_ax_fft.pdf}
%        \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bilinear_Point1_ax_fft.pdf}
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%   % \begin{itemize}
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%   % \end{itemize}
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%  \vspace{-0.35cm}
%   \begin{figure}[!H]
%      \begin{center}
%        \includegraphics[width=3cm]{/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=3cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/material_stress_strain_behavior.pdf} \\
%        \tiny \quad Material B: Bilinear\\
%     \end{center}
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%  \frametitle{SMR: Accelerations Along Depth}
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%        \includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_acceleration_depth_variation.pdf}\hspace{-0.7cm}
%        \includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/free_field_a_depth_variation_AF.pdf}
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%        \includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_acceleration_depth_variation_elastic.pdf}\hspace{-0.7cm}
%        \includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/SMR_acceleration_depth_variation.pdf}
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%  \hspace{-0.7cm}
%  \begin{column}{0.15\textwidth}
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%  Nonlinear site effects\\
%  \vspace{2.5cm}
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\frametitle{ESSI for an SMR, Plastic Energy Dissipation}

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


% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=10cm,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/SMR_Energy_Dissipation_screen_grab.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/SMR_Energy_Dissipation.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}
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\end{flushleft}
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%        \includegraphics[width=3.2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_ax_time_series.pdf}
%        \includegraphics[width=3.2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_ay_time_series.pdf}
%        \includegraphics[width=3.2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_point1_az_time_series.pdf}
%       \\
%        \includegraphics[width=3.2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_ax_fft.pdf}
%        \includegraphics[width=3.2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_ay_fft.pdf}
%        \includegraphics[width=3.2cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/AF_yuan_Point1_az_fft.pdf}
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%        \includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/depth_variation_peak_AH_annotation.pdf}
%        \includegraphics[width=5cm]{/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.
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% \movie[label=show3,width=9cm,poster,autostart,showcontrols]
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% {/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/Solid-Fluid-Interaction.jpg}}
% {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Fluid_Solid_interaction/Solid_Fluid_Interaction_NEW.mpeg}
% \end{center}
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% \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Fluid_Solid_interaction/Solid_Fluid_Interaction.mp4}
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%      \includegraphics[width=7cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/upU_element_type_annotation.pdf}
%      \includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bouyant_displacement.pdf}
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% % -  %      \includegraphics[width=0.4\textwidth]{/home/jeremic/tex/works/Thesis/HexiangWang/Files_SMiRT_11Aug2017/pic/bouyant_displacement.pdf}};
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\frametitle{Liquefaction as Base Isolation}

\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=3.5truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_04.jpg}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_01.jpg}
\end{center}
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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=5.5truecm]{/home/jeremic/tex/works/Conferences/2017/Slovenia_IAEA_short_course/present/SSI-Site_Response_Analysis/Liquefaction_03.jpg}
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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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\subsection{Sensitivity Analysis}





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\frametitle{Probabilistic Site Response}

\vspace*{5mm}
\begin{itemize}
% \item[-] Three-layered ground with \\
%       uncertain material properties and \\
%       uncertain seismic rock motions

 \item[-] Uncertain material: \\
       uncertain random field, \\
       marginally lognormal \\
       distribution, \\
       exponential correlation \\
       length 10m

\vspace*{3mm}
\item[-]  Uncertain  seismic \\
          rock motions:  \\
          seismic  scenario \\
           M=7,  R=50km \\
%       Stochastic Fourier amplitude spectra, \\
%       Stochastic Fourier phase derivative

\end{itemize}


\vspace*{-55mm}
\begin{figure}[!hbpt]
\begin{flushright}
\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_28-30Jun2021/present/Three-Layer-Model.jpg}
\\
\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_28-30Jun2021/present/Input-motions.jpg}
\end{flushright}
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\begin{frame}

\frametitle{Uncertain Material Parameters}

%  

\vspace*{5mm}
Lognormal distributed random field with PC Dim. 3 Order 2


\vspace*{-5mm}
\begin{figure}[!hbpt]
\begin{center}
\hspace*{-10mm}
\includegraphics[width=13cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_28-30Jun2021/present/Stochastic_material_parameters.jpg}
\end{center}
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\begin{frame}

\frametitle{Uncertain Seismic Motion Development}

\vspace*{2mm}
\begin{itemize}
 \item[-] UCERF3 (Field et al. 2014)
 \item[-] Stochastic motions (Boore 2003) 
 \item[-] Polynomial Chaos Karhunen-Lo{\`e}ve expansion
 \item[-] Probabilistic DRM (Bielak et al. 2003, Wang et al. 2021)
\end{itemize}

\vspace*{-3mm}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=5.3cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/UCERF3.pdf}
\includegraphics[width=4.3cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/SMSIM.pdf}
%\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/KL_exact_dis_correlation_from_dis.pdf}
\end{center}
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% -- 
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% -- \frametitle{Stochastic Ground Motion Modeling}
% -- 
% -- \begin{itemize}
% -- 
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% -- \item[-] Modeling fundamental characteristics of uncertain ground motions,
% -- Stochastic Fourier amplitude spectra (FAS). and Stochastic Fourier phase spectra
% -- (FPS) and not specific IM
% -- 
% -- \vspace*{1mm}
% -- \item[-]  Mean behavior of stochastic FAS,  $w^2$ source radiation spectrum by
% -- Brune(1970), and Boore(1983, 2003, 2015).
% -- 
% -- \vspace*{1mm}
% -- \item[-] Variability models for stochastic FAS, 
% --  FAS GMPEs by Bora et al. (2015, 2018), Bayless \&
% --  Abrahamson (2019), 
% -- % for marginal median \& variability, 
% -- %Inter-frequency correlation structure by 
% -- Stafford(2017) and Bayless \& Abrahamson (2018).  
% -- 
% -- \vspace*{1mm}
% -- \item[-] Stochastic FPS by phase derivative (Boore,2005), Logistic phase derivative
% -- model by Baglio \& Abrahamson (2017)
% -- 
% -- %\item Upcoming: a major change from \textbf{ $\boldsymbol{Sa(T_0)}$ to FAS} in next five years as envisioned by Abrahamson (2018)
% -- 
% -- \end{itemize}
% -- 
% -- \end{frame}
% -- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -- 

%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \begin{frame}
%  
%  \frametitle{Stochastic Seismic Motions}
%  
%  %  
%  
%  %Lognormal distributed random field with PC Dim. 3 Order 2
%  
%  
%  
%  %\vspace*{-50mm}
%  \begin{figure}[!hbpt]
%  \begin{center}
%  \hspace*{-10mm}
%  \includegraphics[width=12.5cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_28-30Jun2021/present/Stochastic_seismic_motions.jpg}
%  \end{center}
%  \end{figure}
%  
%  \end{frame}
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  
         



% --  
% --  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% --  \begin{frame}
% --  
% --  \frametitle{Stochastic Seismic Motions, Displacement}
% --  
% --  %  
% --  
% --  %\vspace*{-50mm}
% --  \begin{figure}[!hbpt]
% --  \begin{center}
% --  \hspace*{-10mm}
% --  \includegraphics[width=12.5cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_28-30Jun2021/present/Stochastic-motions-DISP.jpg}
% --  \end{center}
% --  \end{figure}
% --  
% --  \end{frame}
% --  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% --  
         
% --  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% --  \begin{frame}
% --  
% --  \frametitle{Stochastic Seismic Motions, Accelerations}
% --  
% --  %  
% --  
% --  \vspace*{-1mm}
% --  \begin{figure}[!hbpt]
% --  \begin{center}
% --  \hspace*{-10mm}
% --  \includegraphics[width=12.5cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_28-30Jun2021/present/Stochastic-motions-ACC.jpg}
% --  \end{center}
% --  \end{figure}
% --  
% --  \end{frame}
% --  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% --  


% --  
% --  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% --  \begin{frame}
% --  
% --  \frametitle{Stochastic Site Response}
% --  
% --  %  
% --  
% --  
% --  \vspace*{-3mm}
% --  \begin{figure}[!hbpt]
% --  \begin{center}
% --  \hspace*{-10mm}
% --  \includegraphics[width=12.5cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_28-30Jun2021/present/Stochastic-site-response.jpg}
% --  \end{center}
% --  \end{figure}
% --  
% --  
% --  \vspace*{-2mm}
% --  PC dimensions $\xi_1$, - $\xi_3$ are from uncertain soil
% --  
% --  PC dimensions $\xi_4$, - $\xi_{153}$ are from uncertain rock motions
% --  
% --  \end{frame}
% --  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% --  




% --  
% --  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% --  \begin{frame}
% --  
% --  \frametitle{Sensitivity of PGA from Uncertain Soil}
% --  
% --  %  
% --  
% --  
% --  \vspace*{10mm}
% --  \begin{itemize}
% --    \item[-] First 10 terms \\
% --          from soil uncertainty
% --  
% --  
% --  
% --    \item[-] Total Sobol     \\
% --          sensitivity index  \\
% --          $S_{1-3}^{PC,total} = 0.51$
% --  
% --  
% --  \end{itemize}
% --  
% --  
% --  
% --  \vspace*{-40mm}
% --  \begin{small}
% --  %\begin{center}
% --  \begin{table}[!htb]
% --  \hspace*{50mm}
% --  \begin{tabular}{l l}
% --  Sobol Index           &  Value  \\ \hline 
% --  $S_{1,123}^{PC}$      &   0,04389  \\
% --  $S_{1,118}^{PC}$      &   0,02605  \\
% --  $S_{1,127}^{PC}$      &   0,02370  \\
% --  $S_{1,100}^{PC}$      &   0,01759  \\
% --  $S_{1,103}^{PC}$      &   0,01700  \\
% --  $S_{1,134}^{PC}$      &   0,01680  \\
% --  $S_{1,141}^{PC}$      &   0,01611  \\
% --  $S_{1,110}^{PC}$      &   0,01358  \\
% --  $S_{1,130}^{PC}$      &   0,01303  \\
% --  $S_{1,132}^{PC}$      &   0,01068 \\
% --  . . .                &   . . .     \\ \hline  
% --      \end{tabular}
% --  \end{table}
% --  %\end{center}
% --  \end{small}
% --  
% --  
% --  
% --  
% --  %
% --  %
% --  %PC dimensions $\xi_1$, - $\xi_3$ are from uncertain soil
% --  %
% --  %PC dimensions $\xi_4$, - $\xi_{153}$ are from uncertain motions
% --  
% --  \end{frame}
% --  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% --  
% --  
% --  
% --  
% --  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% --  \begin{frame}
% --  
% --  \frametitle{Sensitivity of  PGA from Uncertain Rock Motions}
% --  
% --  %  
% --  
% --  
% --  \vspace*{10mm}
% --  \begin{itemize}
% --    \item[-] First 10 terms \\
% --          from motions uncertainty
% --  
% --  
% --    \item[-] Total Sobol     \\
% --          sensitivity index \\
% --          $S_{1-153}^{PC,total} = 0.98$
% --  
% --  
% --  \end{itemize}
% --  
% --  
% --  
% --  \vspace*{-40mm}
% --  \begin{small}
% --  %\begin{center}
% --  \begin{table}[!htb]
% --  \hspace*{50mm}
% --  \begin{tabular}{l l}
% --  Sobol Index           &  Value  \\ \hline 
% --  $S_{1,123}^{PC}$      &   0,04389  \\
% --  $S_{137}^{PC}$      &   0,03459  \\
% --  $S_{110}^{PC}$      &   0,03061  \\
% --  $S_{118}^{PC}$      &   0,02698  \\
% --  $S_{1,118}^{PC}$      &   0,02605  \\
% --  $S_{108}^{PC}$      &   0,02482   \\
% --  $S_{141}^{PC}$      &   0,02373  \\
% --  $S_{1,127}^{PC}$      &   0,02370  \\
% --  $S_{1,100}^{PC}$      &   0,01759  \\
% --  $S_{1,103}^{PC}$      &   0,01700  \\
% --  . . .                &   . . .     \\ \hline  
% --      \end{tabular}
% --  \end{table}
% --  %\end{center}
% --  \end{small}
% --  
% --  
% --  
% --  
% --  %
% --  %
% --  %PC dimensions $\xi_1$, - $\xi_3$ are from uncertain soil
% --  %
% --  %PC dimensions $\xi_4$, - $\xi_{153}$ are from uncertain motions
% --  
% --  \end{frame}
% --  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% --  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}

\frametitle{Sensitivity Analysis}

%  


%\begin{itemize}
%
%
\vspace*{4mm}
%  \item[-] 
Total variance in PGA, in this case (!), dominated by uncertain ground motions

    \begin{itemize}

\vspace*{4mm}
      \item[] $49$\% variance from uncertain rock motions at depth
\vspace*{4mm}
      \item[] $2$\% variance from uncertain soil
\vspace*{4mm}
      \item[] $49$\% variance from interaction of uncertain rock motions and  uncertain soil 


    \end{itemize}


%  \item 
%\end{itemize}



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\section{Summary}



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    \subsection{\ }





 
%  
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \begin{frame} 
%  
%  \frametitle{Real-ESSI Simulator System}
%  
%  The  Real-ESSI, Realistic  
%  {\underline {\bf M}}odeling  and  
%  {\underline {\bf S}}imulation  of  
%  {\underline {\bf E}}arthquakes,  
%  {\underline {\bf S}}oils,
%  {\underline {\bf S}}tructures  and  their  
%  {\underline {\bf I}}nteraction.  Simulator  is  a  software,  hardware  and
%  documentation   system   for  high  fidelity,  high  performance,  time  domain,
%  nonlinear/inelastic, deterministic or probabilistic, 3D, finite element modeling
%  and simulation of:
%  
%      \begin{itemize}
%  %\vspace*{1mm}
%        \item statics and dynamics of soil,
%  \vspace*{1mm}
%        \item    statics and dynamics of rock,
%  \vspace*{1mm}
%        \item    statics and dynamics of structures,
%  \vspace*{1mm}
%        \item    statics of soil-structure systems, and
%  \vspace*{1mm}
%        \item    dynamics of earthquake-soil-structure system interaction
%      \end{itemize}
%  
%  
%  \end{frame}
%  
%  
%  
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%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  








%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
% \frametitle{ESSI Symposium}
%   \frametitle{ESSI Forum}
%   \frametitle{ESSI Congress}
%   \frametitle{ESSI meeting}
%   \frametitle{ESSI Conference}
%   \frametitle{ESSI Convention}
%   \frametitle{ESSI Seminar}
%   \frametitle{ESSI Council}
%   \frametitle{Seismic Soil Structure Interaction for Nuclear Installations}
%   \frametitle{ESSI for Nuclear Installations}
   \frametitle{US-DOE/UCD International Forum on \\
               Earthquakes - Soil/Rock - Structure - Interaction \\
               Analysis for Nuclear Installations }

%  \frametitle{ESSI Workshop}

%  
%US-DOE and UCD organized International Forum:
%  
  
  
  \begin{itemize}


%   %
%   
%   \vspace*{1mm}
%       \item[] International Forum: 
%   % %    Discussion, 
%   % %            exchange, 
%   % %            debate, 
%   % %            analysis, 
%   % %            conversation, 
%   % %            consultation, 
%   % %            deliberation, 
%   % %            Modeling and simulation of 
%   %             Analysis of 
%   %             Earthquakes - Soil/Rock - Structure - Interaction 
%   %             (ESSI) for 
%   %             Nuclear Installations
%                 \begin{itemize}
%                    \item[-] State of the art 
%                    \item[-] State of practice
%                    \item[-] Current and future needs
%                    \item[-] Current and future developments
%                 \end{itemize}


%\vspace*{2mm}

    \item[] Conversation, consultation, debate on ESSI analysis
              \begin{itemize}
                 \item[-] State of the art 
                 \item[-] State of practice
                 \item[-] Current and future needs
                 \item[-] Current and future developments
              \end{itemize}




%\vspace*{2mm}
          \item[] Online and In-Person
            \begin{itemize}
              \item[-] Invited presentations, recorded, Nov--Dec 2021

              \item[-] Online discussion, Jan--Jun 2022

              \item[-] In person symposium, July 2022,   at the SMiRT-26 in Berlin, 
            \end{itemize}


          \item[] Organizers will contact many of you

          \item[] Email me to ensure participation: 
          {\bf {Jeremic@ucdavis.edu}}
%          \small{\bf \texttt{Jeremic@ucdavis.edu}}


\end{itemize}



\end{frame}
%





%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Conclusion}

  \begin{itemize}

%    \item Importance   of   using  proper  models  correctly  (verification,
%    validation, level of sophistication)
%     
 
%    \item Reduction of modeling uncertainty 
%
\vspace*{1mm}
    \item[] Numerical analysis to predict and inform


\vspace*{2mm}
  \item[] Engineers, Owners, Regulators need to know!


%\vspace*{1mm}
%    \item Change of demand due to inelastic effects

%\vspace*{-1mm}
%      \begin{itemize}
%         \item Reduction of dynamic motions
%         \item Increase in deformations
%      \end{itemize}


%  
%  \vspace*{1mm}
%      \item  Sophisticated inelastic/nonlinear modeling and simulations need to be
%      done carefully and in phases
%  
%  
\vspace*{2mm}
    \item[] Education and Training is the key!


% \vspace*{1mm}
%   \item     Collaborators:    Feng,  Yang,  Behbehani,  Sinha,  Wang, Wang,
%   Pisan{\'o}, Abell, Tafazzoli, Jie, Preisig, Tasiopoulou, Watanabe, Luo, 
%   Cheng, Yang.
   
   

\vspace*{2mm}
  \item[]  Funding  from  and  collaboration  with agencies and companies: 
           US-DOE, 
           CNSC-CCSN, 
           UN-IAEA, 
           CH-ENSI,
           US-NSF, 
           US-FEMA, 
           US-NRC, 
%           Shimizu Corp.,
           Shimizu,
           Basler\&Hofmann,
           and
           KEPCO
           is greatly appreciated!

%         
\vspace*{2mm}
    \item[]  Collaborators:       Feng,  Yang,  Behbehani,  Lacour, Sinha, Wang,
             Wang,   Pisan{\'o},  Abell,  Tafazzoli,  Jie, Preisig, Tasiopoulou,
             Watanabe, Luo, Cheng, Yang...
   
   

%  \vspace*{2mm}
%    \item[] Contact: Jeremic@ucdavis.edu
%  

% \vspace*{2mm}
%   \item[]  
% %    \url{http://sokocalo.engr.ucdavis.edu/~jeremic}
%     \url{http://real-essi.us}
%       

\end{itemize}



\end{frame}
%






\end{document}

%
%
