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%  \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[Nonlinear effects in ESSI of NPPs]
      {Nonlinear effects in \\ Earthquake Soil Structure Interaction of \\ Nuclear Power Plants}


%\subtitle
%{Include Only If Paper Has a Subtitle}

%\author[Author, Another] % (optional, use only with lots of authors)
%{F.~Author\inst{1} \and S.~Another\inst{2}}
% - Give the names in the same order as the appear in the paper.
% - Use the \inst{?} command only if the authors have different
%   affiliation.
%% \pgfdeclareimage[height=0.2cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_blue_sm}
%% \pgfdeclareimage[height=0.7cm]{lbnl-logo}{/home/jeremic/BG/amblemi/lbnl-logo}


\author[Jeremi{\'c} et al.] % (optional, use only with lots of authors)
%{Boris~Jeremi{\'c}}
{Feng, Sinha, Abell, Yang, Behbehani, Orbovi{\'c}, McCallen, Jeremi{\'c}}

%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
%% \institute[\pgfuseimage{university-logo}\hspace*{0.1truecm}\pgfuseimage{lbnl-logo}] % (optional, but mostly needed)
\institute[] % (optional, but mostly needed)
%{ Professor, University of California, Davis\\
{UCD, LBNL, CNSC}
% - 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 SMiRT24\\
        Busan, Republic of Korea}

\subject{}
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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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% - Talk about 30s to 2min per frame. So there should be between about
%   15 and 30 frames, all told.

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\section{Introduction}




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\subsection*{Motivation}



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\begin{frame}
 \frametitle{Motivation}

\begin{itemize}



%\vspace*{0.3cm}
  \item[]  Improve  seismic  modeling  and  simulation  for  infrastructure objects
 

% \vspace*{2mm}
%  \item[]  Expert numerical modeling and simulation tool

\vspace*{2mm}
  \item[]  Use of high fidelity numerical models to analyze seismic behavior
  of soil structure nuclear facilities


\vspace*{2mm}
  \item[]  Reduction  of modeling uncertainty, ability to perform high(er) level
  of sophistication modeling and simulation


\vspace*{2mm}
  \item[]  Accurately   follow  the  flow   of  seismic  energy  in  a
  soil structure system


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



% \vspace*{1mm}
%   \item[]   The  goal is to create methodology and numerical tool that is used to 
%   predict and inform and not to fit
% 


%\vspace*{1mm}
%  \item[]   Directing,   in   space   and   time,   seismic  energy  flow  in  the
%  soil structure system



\end{itemize}
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% \begin{frame}
%   \frametitle{Seismic Hazard, World}
% 
% 
% \vspace*{-3mm}
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% %
% \includegraphics[width=11truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/worldseismap.png}
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% %
% \includegraphics[width=10truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/Seismic_Hazard_Europe.jpg}
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% \includegraphics[width=10truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/USA_Seismic_hazard_Map.jpg}
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%   \frametitle{Seismic Hazard, DOE Facilities}
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% \begin{center}
% %
% \includegraphics[width=10truecm]{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/DOE_Sites_and_Seismic_Hazard.jpg}
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\section{Modeling and Simulations}



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\subsection*{Seismic Motions}

 
 
 
 
 
 
 
 








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\begin{frame}
\frametitle{Development of Seismic Motions}

\begin{itemize}

  \item 1D and/or 2D and or 3$\times$1D and/or 3D (6D) motions can be used

\vspace*{2mm}
  \item 3D motions from regional scale  modeling

\vspace*{2mm}
  \item Knowledge of geology (deep and shallow) needed


%\vspace*{2mm}
%  \item High Performance Computing using SW4 on CORI (LBNL)
%

\vspace*{2mm}
  \item Using SW4 (LLNL): Dr.~Rodgers, Dr.~Pitarka and Dr.~Petersson




\end{itemize}
 
\end{frame}



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\begin{frame}
\frametitle{Regional Model Motions (Rodgers et al LLNL)}



% local
% local 
% local 
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% local \begin{center}
% local \hspace*{-15mm}
% local %
% local \movie[label=show3,width=8.0cm,poster,autostart,showcontrols]
% local   {\includegraphics[width=60mm]{BJicon.png}}{/home/jeremic/tex/works/Conferences/2017/CompDyn2017/Present_PLENARY/M6.5_s500_BASIN+STOCHASTIC.mag.SLOW.mpg}
% local \hspace*{-15mm}
% local %
% local \end{center}
% local 
% local 
% local 



% online 
% online 
% online 
\begin{center}
\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}
  {\includegraphics[width=90mm]{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_August2017/M6_5_s500_BASIN_STOCHASTIC_mag_SLOW.jpg}}
\end{center}
% online 
% online 
% online  




\end{frame}

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\begin{frame}
 
 \frametitle{Free Field Verification}

  \vspace*{-5mm}

 \begin{figure}
 \begin{center}
\subfigure[Relative Displacement]{
  \hspace*{-8mm}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Calibration_Displacement_X.pdf}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Calibration_Displacement_Y.pdf}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Calibration_Displacement_Z.pdf}
  \hspace*{-5mm}
  }
\subfigure[Acceleration]{
  \hspace*{-8mm}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Calibration_Acceleration_X.pdf}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Calibration_Acceleration_Y.pdf}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Calibration_Acceleration_Z.pdf}
  \hspace*{-5mm}
  }
% \caption{\label{Fig:Verification_with_Free_Field} \tiny Verification of Free Field motions with SW4 at the center of the ESSI box}
 \end{center}
 \end{figure}
\end{frame}
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\begin{frame}
\frametitle{Seismic Motions: SW4 to Real ESSI}

 \begin{figure}[!htb]
 \begin{center}
  \includegraphics[width=11truecm]{/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}

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%

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\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  (hard  and  soft, gap open/close),
%                 Friction (nonlinear)
%          \item Fully saturated, suction and excess pressure (buoyant force)
%        \end{itemize}
%      
% 
% %\vspace*{1mm}
%      \item Structural inelasticity/damage
%        \begin{itemize}
%          \item Nonlinear/inelastic fiber beam
%          \item Nonlinear/inelastic fiber wall element
%        \end{itemize}
% 
% 
% %%\vspace*{1mm}
% %     \item Fluid-Solid interaction (open surface)
% 
% 
% 
% \end{itemize}
% 
% %
% \end{frame}
% 

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\begin{frame}
 
 \frametitle{NPP Model }

  \begin{figure}[!h]
  \begin{center}
   \includegraphics[width=8.5cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/NPP_With_Shallow_Foundation.pdf}
  \end{center}
%  \caption{\label{Fig:NPP_Model_In_Real_ESSI} Nuclear Power Plant Model with Shallow Foundation }
  \end{figure}
  

% \begin{tikzpicture}[remember picture,overlay]
%     \node[xshift=3.5cm,yshift=-0.6cm] at (current page.center) {\includegraphics[width=0.5\textwidth]{images/Contact_In_Industry}};
% \end{tikzpicture}

\end{frame}
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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 of $3.5m$ thickness
%  \end{itemize}
%   \begin{figure}[!h]
%   \begin{center}
%    \includegraphics[width=0.8\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/NPP_Model_Auxiliary_And_Containment_Building.pdf}
%   \end{center}
%   \caption{\label{Fig:NPP_Structure_Model_In_Real_ESSI} Auxiliary and Containment Building }
%   \end{figure} 
% 
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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\begin{frame}
 
 \frametitle{Inelastic/Nonlinear Analysis}


   
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=3.2cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Theory_Introduction/tex_works_psfigures_loading_stage-increments-iterations.pdf}
%\caption{\label{loading_stages-increments_iterations} }
\end{center}
\vspace*{-0.5cm}
\end{figure}


\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 
 \frametitle{Inelastic Soil and Inelastic Contact}

 \begin{itemize}
  \item Shear velocity of soil $V_s=500m/s$
  \item Undrained shear strength (Dickenson 1994) $V_s [m/s] = 23 (S_u [kPa])^{0.475}$
  \item For $V_s=500m/s$ Undrained Strength $S_u=650kPa$ and Young's Modulus of $E=1.3GPa$
  \item von Mises, Armstrong Frederick kinematic hardening 
  ($S_u=650kPa$ at $\gamma=0.01\%$; $h_a = 30MPa$, $c_r = 25$)
  \item Soft contact (concrete-soil), gaping and nonlinear shear
  \end{itemize}
  
 \begin{figure}[!h]
 \begin{center}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Von_Mies_non_Linear_Hardening.pdf}
  \includegraphics[width=3.5cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/SoftContact.pdf}
 \end{center}
  \end{figure}


\end{frame}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  
%  \frametitle{Simulation Result}
% 
%  \begin{figure}[!h]
%  \begin{center}
% \subfigure[Selected Locations 
%   \label{Specific_Locations}]{\includegraphics[width=0.45\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/NPP_Selected_Location_For_Study.pdf}}
% \subfigure[Total Displacement 
%   \label{Total_Displacement}]{\includegraphics[width=0.40\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Total_Displacement_Z.pdf}}
%  \end{center}
%  \caption{\label{Fig:NPP_Selected_Location_For_Study} Locations selected to study non-linear effects and plot of total displacement at center of model}
%  \end{figure}
% 
% 
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


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\begin{frame}
 
 \frametitle{Acc. Response, Top of Containment Building}

 \begin{figure}[!h]
 \begin{center}
%  \subfigure[Acceleration]{
  \subfigure{
\hspace*{-8mm}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/D_Acceleration_X.pdf}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/D_Acceleration_Y.pdf}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/D_Acceleration_Z.pdf}
\hspace*{-8mm}
  }
%  \subfigure[Fourier Amplitude of Acceleration \label{FFT_A}]{
  \subfigure{
\hspace*{-8mm}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/FFT_D_Acceleration_X.pdf}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/FFT_D_Acceleration_Y.pdf}
  \includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/FFT_D_Acceleration_Z.pdf}
\hspace*{-8mm}
  }
% \caption{\label{Fig:Response_of_Top_of_Containment_Building} Seismic Response at Top of Containment Building}
 \end{center}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  
%  \frametitle{Response Comparison}
% 
%  \begin{figure}[!h]
%  \begin{center}
%   \includegraphics[width=\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Deformation_Of_NPP_At_11_Sec.pdf}
%  \end{center}
%  \caption{\label{Fig:Deformation_Of_NPP_At_11_Sec} Deformation of the NPP structure at 11 seconds (scaled by 100 times)}
%  \end{figure}
%  \begin{itemize}
%    \item Inelastic soil acts as a natural damper
%    \item Look at the response of containment building in this video \textbf{\tiny \url{http://cml06.engr.ucdavis.edu/~sumeet/for_boris/NPP_Non_Linear_Effects_Comparison.mp4}}
%  \end{itemize}
% 
% \end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  
%  \frametitle{Displacement Depth Trace }
%   \begin{figure}[!h]
%   \begin{center}
%    \includegraphics[width=0.8\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Free_Field_SMIRT_2017.pdf}
%    \caption{Free-Field}
%   \end{center}
%  \end{figure}
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  
%  \frametitle{Displacement Depth Trace }
%   \begin{figure}[!h]
%   \begin{minipage}{0.49\textwidth}
%   \begin{center}
%    \includegraphics[width=1.3\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Elastic_Without_Contact_SMIRT_2017.pdf}
%    \caption{Elastic}
%   \end{center}
%  \end{minipage}
%   \begin{minipage}{0.49\textwidth}
%   \begin{center}
%    \includegraphics[width=1.3\textwidth]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Inelastic_With_Contact_SMIRT_2017.pdf}
%    \caption{Inelastic}
%   \end{center}
%  \end{minipage}
%  \end{figure}
% \end{frame}
% 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 
 \frametitle{Acceleration Traces, Free Field }
  \begin{figure}[!h]
  \vspace*{-7mm}
  \begin{center}
   \includegraphics[width=12cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Acceleration_Free_Field_SMIRT_2017.pdf}
%   \caption{Free-Field}
  \end{center}
 \end{figure}
\end{frame}

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

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 
 \frametitle{Acceleration Traces, Elastic vs Inelastic }
  \begin{figure}[!h]
  \vspace*{-2mm}
  \begin{center}
  \hspace*{-15mm}
   \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Acceleration_Elastic_Without_Contact_SMIRT_2017.pdf}
  \hspace*{-20mm}
   \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_10Aug2017/Npp_Non_Linear_Effects/images/Acceleration_Inelastic_With_Contact_SMIRT_2017.pdf}
  \hspace*{-7mm}
  \end{center}
 \end{figure}
\end{frame}

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

\frametitle{Elastic and Inelastic Response: Differences}

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


% local
% local 
% local 
% local % \vspace*{-5mm}
% local \begin{center}
% local % \hspace*{-15mm}
% local \movie[label=show3,width=10cm,poster,autostart,showcontrols]
% local {\includegraphics[width=10cm]
% local {/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_13Aug2017/NPP_Non_Linear_Effects_Sumeet.jpg}}
% local {/home/jeremic/tex/works/Thesis/SumeetKumarSinha/Files_13Aug2017/NPP_Non_Linear_Effects_Sumeet.mp4}
% local \end{center}
% local 
% local 
% local 



% online 
% online 
% online 
\begin{center}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_August2017/NPP_Non_Linear_Effects_Sumeet.mp4}
  {\includegraphics[width=90mm]{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/NPP_animations_August2017/NPP_Non_Linear_Effects_Sumeet.jpg}}
\end{center}
% online 
% online 
% online  




\end{frame}

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


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

\frametitle{Energy Dissipation in Large-Scale Model (NPP)}

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


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



% online 
% online 
% online 
\begin{center}
\href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/NPP_Plastic_Dissipation.mp4}
  {\includegraphics[width=90mm]{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/NPP_Plastic_Dissipation_grab.jpg}}
\end{center}
% online 
% online 
% online  





\end{frame}

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

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  
% \frametitle{Energy Dissipation in Large-Scale Model (SMR)}
% 
% % 
% % Some notes:
% % Energy density curves at the corner of the structure (as indicated in the picture of NPP model).
% % Can see large amount of energy dissipated in both soil and contact elements.
% % An arc-shaped area of "elastic zone" formed beneath the structure, where soil strength can be better utilized.
% % 
% 
% \vspace*{-2mm}
% \begin{figure}[!hbpt]
% \begin{center}
% % \hspace*{-7mm}
% \includegraphics[width=8truecm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/SMR_Energy_Dissipation_Curve.pdf}
% \end{center}
% \end{figure}
%  
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% 
% \frametitle{Energy Dissipation in Large-Scale Model (SMR)}
% 
%  Elastoplastic soil without contact elements
%  % Only solid elements dissipate energy
% 
% % \vspace*{-5mm}
% \begin{center}
% % \hspace*{-15mm}
% \movie[label=show3,width=9cm,poster,autostart,showcontrols]
% {\includegraphics[width=9cm]
% {/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/SMR_Plastic_Dissipation_Density.pdf}}
% {/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/SMR_without_Contact_vonMises.mp4}
% \end{center}
% 
% 
% \end{frame}
% 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%




    
% 
% - 
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\begin{frame}
% -\frametitle{Quality Assurance}
% -
% -\begin{itemize}
% -
% -\item[] Full verification suit for each element, model, algorithm
% -
% -\vspace*{4mm}
% -\item[] Certification process in progress for NQA-1 and ISO-90003-2014
% -
% -%\vspace*{3mm}
% -%\item[] Verification examples given below
% -
% -\end{itemize}
% -
% -
% -
% -
% -\end{frame}
% -
% -  
% -
% -%-------------------------------------------------------
% -\begin{frame}{High Fidelity (Parametric, Geometric and Algorithmic)}
% -
% -\begin{figure}
% -\includegraphics[width=0.95\textwidth]{/home/jeremic/tex/works/Thesis/YuanFeng/Files_06June2017/latex_slides/Figure-files/verification/asymptotic_converge.pdf}
% -\end{figure}
% -\end{frame}
% -
% -% \begin{frame}{One of Verification Techniques}
% -% Richardson Extrapolation
% -% \begin{itemize}
% -%   \item[] Stress solution with the strain increment size as:
% -%         \begin{equation}
% -%           \sigma(d\epsilon) = \sigma^* + C d\epsilon^{\beta} + O(d\epsilon^{\beta+1})
% -%         \end{equation}
% -%         where $\sigma^*$ is the accurate result.
% -% 
% -%   \item[] Richardson extrapolation is defined as 
% -%         \begin{equation}
% -%           \begin{aligned}
% -%             R(d\epsilon, k) & = \frac{k^{\beta}\sigma(d\epsilon) - \sigma(k d\epsilon) } { k^{\beta} - 1} \\ 
% -%                   & = \frac{k^{\beta} 
% -%                         \left(\sigma^* + C d\epsilon^{\beta} + O(d\epsilon^{\beta+1}) \right) } 
% -%                         { k^{\beta} - 1}
% -%                        - 
% -%                         \frac{\sigma^* + C k^{\beta} d\epsilon^{\beta} + O(d\epsilon^{\beta+1}) } 
% -%                         { k^{\beta} - 1} \\
% -%                   & = \sigma^* + O (d\epsilon^{\beta + 1})
% -%           \end{aligned}  
% -%         \end{equation}
% -% %        The higher order error is cancelled out. 
% -% \end{itemize}
% -% \end{frame}
% -% 
% -% 
% -% 
% -% 
% -% 
% -
% -
% -
% -
% -%-------------------------------------------------------
% -\begin{frame}{Verification of Elastoplastic Algorithms}
% -Comparison between forward and backward Euler algorithms.
% -\begin{figure}
% -\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/YuanFeng/Files_06June2017/latex_slides/Figure-files/verification/NonAssociate.pdf}
% -\includegraphics[width=0.5\textwidth]{/home/jeremic/tex/works/Thesis/YuanFeng/Files_06June2017/latex_slides/Figure-files/verification/verification_example.pdf}
% -\end{figure}
% -\end{frame}
% -
% -
% -
% -
% -
% -
% -
% -
% -
% -
% -
% -
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\subsection{Inelastic Response}
% -
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\begin{frame}
% -\frametitle{Soil Inelastic Response}
% -
% -
% -A number of new models have been implemented and verified:
% -
% -
% -\begin{itemize}
% -
% -
% -\item[] Nested Surface Models (von Mises, Drucker-Prager, rounded Mohr-Coulomb)
% -
% -\vspace*{2mm}                                                               
% -\item[] PM4 model (2D/3D)
% -
% -\vspace*{2mm}
% -\item[] Bounding Surface Liquefaction (Tsinghua) Model
% -
% -\vspace*{2mm}
% -\item[] Concrete01 and Concrete02 fiber models (for nonlinear fiber beam and wall element)
% -
% -\vspace*{2mm}
% -\item[] Steel01 and Steel02 fiber models (for nonlinear fiber beam and wall element)
% -
% -
% -\end{itemize}
% -
% -\end{frame}
% -
% -
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\begin{frame}
% -\frametitle{Partially Saturated Soil Modeling: Verification}
% -
% -%\vspace*{-5mm}
% -\begin{figure}[!hbpt]
% -\begin{center}
% -%\hspace*{-10mm}
% -\includegraphics[width=11truecm]{/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/upU_unsatruated_verification.jpg}
% -\end{center}
% -\end{figure}
% -
% -
% -\end{frame}
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\begin{frame}
% -\frametitle{Partially Saturated Soil Modeling: Validation}
% -
% -%\vspace*{-5mm}
% -\begin{figure}[!hbpt]
% -\begin{center}
% -%\hspace*{-10mm}
% -\includegraphics[width=11truecm]{/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/upU_unsatruated_validation.jpg}
% -\end{center}
% -\end{figure}
% -
% -
% -\end{frame}
% -
% -
% -
% -% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -% \begin{frame}
% -% \frametitle{Structural Inelastic Response}
% -% 
% -% 
% -% 
% -% \end{frame}
% -
% -
% -% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -% %\begin{frame}
% -% %\frametitle{Dry Contact (Soil-Structure) Inelastic Response}
% -% %
% -% %
% -% %
% -% %\end{frame}
% -% %
% -
% -% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -% \begin{frame}
% -% \frametitle{Contact Modeling}
% -% 
% -% 
% -% \begin{itemize}
% -% 
% -%   \item[] Soft contact,  concrete to soil
% -%   
% -% \hspace*{3mm}
% -%   \item[] Hard contact, concrete to rock/concrete
% -% 
% -% \hspace*{3mm}
% -%   \item[] Dry contact, 
% -% 
% -% 
% -% \hspace*{3mm}
% -%   \item[] Saturated contacts, effective contact force/stress
% -% 
% -% 
% -% \hspace*{3mm}
% -%   \item[] Buoyant force (dynamic) modeling
% -% 
% -% 
% -% \end{itemize}
% -% 
% -% 
% -% \end{frame}
% -% %
% -
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -
% -
% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -\begin{frame}
% -\frametitle{Saturated Contact}
% -
% -
% -%\vspace*{-5mm}
% -\begin{figure}[!hbpt]
% -\begin{center}
% -%\hspace*{-10mm}
% -\includegraphics[width=9truecm]{/home/jeremic/tex/works/Conferences/2017/DOE_Project_Review_Meeting_LBNL_09June2017/Present/coupled_contact_schematics.jpg}
% -\end{center}
% -\end{figure}
% -
% -
% -
% -\end{frame}
% -
% -
% -
% -
% -
% -
% -
% -


% - 
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%





\section{Summary}

\subsection*{Summary}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{US-DOE Project for ESSI of Nuclear Facilities}

%OVDE
  \begin{itemize}
        
    \item[]  The Real ESSI Simulator System  (UCD/LBNL)
%    (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=8.2truecm]{/home/jeremic/tex/works/Conferences/2017/CNWG_INL_16-18_May_2017/Presentation/DOE_project_UNR_test_01.jpg}
\end{center}
\end{figure}



\end{itemize}


\end{frame}




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

%OVDE
  \begin{itemize}

    \item Reduction of demand due to inelastic effects


%\vspace*{1mm}
 
    \item    The    Real      ESSI    Simulator    system used for all the model
    development, modeling/simulations and post-processing
    

    \item  The    Real        ESSI        Simulator    system documentation  and
    information    about    different    availability/use    options    is    at
    \href{http://real-essi.info}{http://real-essi.info}
 

%\vspace*{1mm}
    \item  Nonlinear/Inelastic Earthquake Soil Structure Interaction (ESSI)
             short course offered this fall in San Francisco, more info at 
             \href{http://real-essi.info}{http://real-essi.info}

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




      

\end{itemize}



\end{frame}
%






\end{document}

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