\documentclass{beamer}
%\documentclass[handout]{beamer}
%\usepackage{pgfpages}
%\pgfpagelayout{2 on 1}[letterpaper, border shrink=5mm]

\mode<handout>{\setbeamercolor{background canvas}{bg=black!3}}



% % for not showing eq numbers unless eq is references
% \usepackage[fleqn,tbtags]{mathtools}
% \mathtoolsset{
%   showonlyrefs
%   }


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% ovo je za cirilicu
\input vuk.def
%\newfont{\cyr}{wncyr10 scaled 1200}
%\newfont{\cyrimena}{wncyb10 scaled 1800}
%\newfont{\cyrnaslov}{wncyb10 scaled 2600}
%\newfont{\cyrpodnaslov}{wncyr10 scaled 1400}

\newfont{\cyr}{wncyss10 scaled 1200}
\newfont{\cyrimena}{wncyss10 scaled 2000}
\newfont{\cyrnaslov}{wncyss10 scaled 2800}
\newfont{\cyrpodnaslov}{wncyss10 scaled 1400}

\newfont{\cyn}{wncyss10 scaled 2200}
%% JB sig
\newfont{\cyrjb}{wncyr10 scaled 600}
\newcommand{\JB}
{{\cyrjb \lower0.50ex\hbox{\uppercase{J}}\kern-.58em\hbox{\uppercase{B}}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


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

% or ...

  \setbeamercovered{transparent}


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

\definecolor{mycolor}{rgb}{0,0.08,0.45}%

\usepackage[english]{babel}
\usepackage{color}

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

\usepackage{hyperref}
\hypersetup{
  pdfmenubar=true,
  pdftoolbar=true,
  pdfpagemode={None}
}
\usepackage{pause}
% or whatever
%\usepackage{html}
%\usepackage{url}

\usepackage[latin1]{inputenc}
% or whatever

\usepackage{array}


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

%Methods, Computation Platform, and Case Studies for
%Time-Domain Soil-Structures-Interaction Modeling and
%Simulation Incorporating Complex Seismic Loads



\title[Nonlinear ESSI of NPPs with Contact Slip]{The Nonlinear Time-Domain Modeling of \\
       Earthquake Soil Structure Interaction for \\
       Nuclear Power Plants: Nonlinear Contact \\
       Between Foundation and  Rock }


%\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=0.25cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_blue_sm}
\pgfdeclareimage[height=0.9cm]{lbnl-logo}{/home/jeremic/BG/amblemi/lbnl-logo}
\pgfdeclareimage[height=0.9cm]{USNRC-logo}{/home/jeremic/BG/amblemi/5in-color-bl-nrc-logo}

\author[Jeremi{\'c} et al.] % (optional, use only with lots of authors)
%{Boris~Jeremi{\'c}}
{B. Jeremi{\'c},
A. Kammerer,
N. Tafazzoli,
B. Kamrani,}


%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
\institute[\pgfuseimage{university-logo}
\hspace*{0.1truecm}
\pgfuseimage{lbnl-logo}
\hspace*{0.1truecm}
\pgfuseimage{USNRC-logo}] % (optional, but mostly needed)
{University of California, Davis, CA\\
%  and\\
Lawrence Berkeley National Laboratory, Berkeley, CA \\
U.S. Nuclear Regulatory Commission, Washington DC }
% - 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 SMiRT 21, New Delhi, India, November 2011}

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



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

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

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




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


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

%\beamerdefaultoverlayspecification{<+->}



\begin{document}

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

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

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

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

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

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

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

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



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

%\subsection{Introduction}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}
\frametitle{Introduction}
\begin{itemize}


\vspace*{0.1cm}
\item  High  fidelity  modeling and simulation of earthquake soil/rock structure
interaction behavior of NPPs

\vspace*{0.1cm}
\item Reduction of modeling uncertainty

\vspace*{0.1cm}
\item Focus in this study are nonlinear material effects at the
foundation --  soil/rock interface

\vspace*{0.1cm}
\item Thanks to Dr. Godoy and Dr. Kennedy for pointing out to this issue/problem

\vspace*{0.1cm}
\item One of the case studies for the NRC ESSI Simulator System





\end{itemize}



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


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Foundation -- Soil/Rock Interface}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{The Problem}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Foundation -- Soil/Rock Interface}
\begin{itemize}

\vspace*{0.3cm}
\item  The case of nonlinear, elastic-plastic zone between a concrete slab and
a foundation soil/rock.

\vspace*{0.3cm}
\item Layers of plastic waterproof sheets in the zone

\vspace*{0.3cm}
\item Reduction of capacity for horizontal shear a the foundation-rock contact

\vspace*{0.3cm}
\item Possible gaping, opening and closing (hard or soft)

\end{itemize}

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

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Beneficial and/or Detrimental ?}
\begin{itemize}


\item    Benefits  of  nonlinear  contact  between  the  foundation slab and the
soil/rock
   \begin{itemize}
       \item Dissipation (significant) of seismic energy (shear)
       \item Change of seismic motions characteristics (frequency reduction)
       \item "Passive" base isolation

   \end{itemize}

\item      Detriments  of  nonlinear  contact  between  the  foundation slab and
the soil/rock

   \begin{itemize}
       \item Gap opening with hard gap closing (high frequency load)
       \item Change of seismic motions
%       \item Additional, new, high frequency loads

   \end{itemize}


\end{itemize}

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



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{The Modeling}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Contact Element}
\begin{itemize}

%\vspace*{0.3cm}
\item Node to node contact element

\vspace*{0.15cm}
\item General, 3D element

%\vspace*{0.3cm}
\vspace*{0.15cm}
\item Gap opening/closing in normal direction

%\vspace*{0.3cm}
\vspace*{0.15cm}
\item Frictional contact in shear direction

%\vspace*{0.3cm}
\vspace*{0.15cm}
\item Viscous and/or non-viscous gap opening/closing

%%\vspace*{0.3cm}
%\item 3D, gap opening/closing, frictional contact

\end{itemize}

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

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

% the  process  of  determining  that    a  model
%   implementation  accurately  represents the developer's conceptual description
%   and specification.
%   Mathematics issue.
   {\it Verification provides evidence  that the model is solved correctly.}

\begin{itemize}

%\vspace*{0.1cm}
\item  Code verification

%\vspace*{0.1cm}
\item  Finite elements
% (tests: patch, aspect ratio)

%\vspace*{0.1cm}
\item Constitutive simulations
% (integration error, bounds test)

%\vspace*{0.1cm}
\item Static   and  dynamic  solution  advancement
algorithms

%\vspace*{0.1cm}
\item Solvers
%(well posedness of the system of equation, error)

%\vspace*{0.1cm}
\item Wave propagation
%(Seismic motion input and radiation,
%energy dissipation, frequency modification)

\item Model/mesh verification

\end{itemize}

   {\it Validation provides  evidence that the correct model is solved.}


 \begin{itemize}

%\vspace*{0.2cm}
   \item Validate components, unit tests
%(material modeling, dynamic analysis, soil pressures)

%\vspace*{0.2cm}
   \item Validate the system (limited data, recent earthquakes)
%   \begin{itemize}
%
%     \item Lotung LSST tests
%     \item Kashiwazaki data
%     \item  Tohoku  Earthquake  data (Onagawa, Fukushima-Daiichi, Fukushima-Daini
%     NPPs)
%
%   \end{itemize}
%
 \end{itemize}


\end{frame}




% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Contact Element Verification and Validation}
% \begin{itemize}
% 
% %\vspace*{0.3cm}
% \item Finite  Elements
% 
% %\vspace*{0.3cm}
% \item General 3D
% 
% %\vspace*{0.3cm}
% \item Gap opening/closing
% 
% %\vspace*{0.3cm}
% \item Frictional contact
% 
% %\vspace*{0.3cm}
% \item Viscous and/or non-viscous gap opening/closing
% 
% %%\vspace*{0.3cm}
% %\item 3D, gap opening/closing, frictional contact
% 
% \end{itemize}
% 
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{ESSI Model, with/without Interface}

%\vspace*{-0.5cm}
\begin{figure}[!h]
\begin{center}
{\includegraphics[width=9.0cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/Slip_Model01.jpg}}
\end{center}
\end{figure}

\end{frame}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Model Verification}

\begin{itemize}

  \item    Verification: finite  element mesh, wave propagation

\vspace*{0.1cm}
  \item Synthetic motions: Ricker, Ormsby wavelets

\vspace*{0.1cm}
  \item  Verify  propagation  of  {\bf  Body}  (P,  SV and SH) and {\bf Surface}
  (Rayleigh, Love) waves


\end{itemize}


\vspace*{-1.5cm}
\begin{figure}[!h]
\begin{center}
\includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model.pdf}
%\includegraphics[width=4.2cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_TimeHistory/3000_3000_x_displacement.pdf}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_FFT/3000_3000_x_displacement_FFT.pdf}
%\vspace*{1.5cm}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/at_source_top2000/middle_acceleration_x.pdf}
\hspace*{-1.5cm}
%\includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/at_source_top2000/middle_acceleration_z.pdf}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/middle_top2000/middle_acceleration_x.pdf}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/middle_top2000/middle_acceleration_z.pdf}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/surface_6km/middle_acceleration_x.pdf}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/surface_6km/middle_acceleration_z.pdf}
\end{center}
\end{figure}


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



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

\section{Nonlinear Interface Results/Issues}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%





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

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Influence of Inelastic Foundation-Soil/Rock Contact on the NPP Response}

\begin{itemize}

\item Soil/rock -- foundation interface slip behavior

\vspace*{0.1cm}
\item  Changes in Earthquake Soil/Rock Structure Interaction (reduction/increase
in demand)

\vspace*{0.1cm}
\item Dissipation of seismic energy in the slip plane

\vspace*{0.1cm}
\item Passive (and active) base isolation

\vspace*{0.1cm}
\item Two examples, 1D seismic wave and 3D synthetic Ricker wavelet



\end{itemize}

\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Vertically Propagating Earthquake}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Incident Earthquake SV Wave}

%\vspace*{-3.5cm}
\vspace*{-1.0cm}
\begin{figure}[H]
\begin{center}
\hspace*{-1cm}
\includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/earthquake_acceleration.pdf}
\\
\vspace*{-4cm}
\hspace*{2cm}
{\includegraphics[width=4.0cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/Slip_Model01.jpg}}
\hspace*{-1cm}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/earthquake_displacement.pdf}
\end{center}
\end{figure}


\end{frame}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Base and Top of the Containment}

%\vspace*{-3.5cm}
%\vspace*{-1.0cm}
\begin{figure}[H]
\begin{center}
\hspace*{-1cm}
\includegraphics[width=6.5cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/11_11_07/8node_with_without_contact/bottom_structure_x_acceleration_FFT.pdf}
\hspace*{-0.5cm}
\includegraphics[width=6.5cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/11_11_07/8node_with_without_contact/top_structure_x_acceleration_FFT.pdf}
\hspace*{-1cm}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/earthquake_displacement.pdf}
\end{center}
\end{figure}

\textcolor{red}{---slip} \hspace*{1cm} \textcolor{blue}{---noslip}


\end{frame}




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{3D Synthetic Ricker Wavelet}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Incident Ricker Wavelet at $45^o$}

%\vspace*{-3.5cm}
%\vspace*{-1.0cm}
\begin{figure}[H]
\begin{center}
\hspace*{-1cm}
\includegraphics[width=9cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/Ricker_2nd.jpg}
\\
\vspace*{-3cm}
\hspace*{2cm}
{\includegraphics[width=4.0cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/Slip_Model01.jpg}}
\hspace*{-1cm}
%\includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2011/SMiRT_21/NRC_ESSI_examples/Presentation/earthquake_displacement.pdf}
\end{center}
\end{figure}


\end{frame}


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


% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{ESSI with Slip, Base, Displacements}
% 
% %\vspace*{-3.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Displacements/2_x_displacement.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Displacements/2_z_displacement.pdf}
% \end{center}
% \end{figure}
% 
% \vspace*{-0.90cm}
% {horizontal displacements   \hfill vertical displacements}
% 
% \end{frame}
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{ESSI with Slip, Base, Accelerations}
% 
% %\vspace*{-3.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Accelerations/2_x_acceleration.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Accelerations/2_z_acceleration.pdf}
% \end{center}
% \end{figure}
% 
% \vspace*{-0.90cm}
% {horizontal displacements   \hfill vertical displacements}
% 
% \end{frame}
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{ESSI with Slip, Base, Accelerations FFT}

%\vspace*{-3.5cm}
\begin{figure}[H]
\begin{center}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/FFT_Accelerations/2_x_acceleration_FFT.pdf}
\hspace*{-0.5cm}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/FFT_Accelerations/2_z_acceleration_FFT.pdf}
\end{center}
\end{figure}

\vspace*{-0.90cm}
{horizontal Acc. FFT   \hfill vertical acc. FFT}

\end{frame}






% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{ESSI with Slip, Top, Displacements}
% 
% %\vspace*{-3.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Displacements/top_x_displacement.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Displacements/top_z_displacement.pdf}
% \end{center}
% \end{figure}
% 
% \vspace*{-0.90cm}
% {horizontal displacements   \hfill vertical displacements}
% 
% \end{frame}
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{ESSI with Slip, Top, Accelerations}
% 
% %\vspace*{-3.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Accelerations/top_x_acceleration.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/Accelerations/top_z_acceleration.pdf}
% \end{center}
% \end{figure}
% 
% \vspace*{-0.90cm}
% {horizontal accelerations  \hfill vertical accelerations}
% 
% \end{frame}
% 
% 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{ESSI with Slip, Top, Accelerations FFT}

%\vspace*{-3.5cm}
\begin{figure}[H]
\begin{center}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/FFT_Accelerations/top_x_acceleration_FFT.pdf}
\hspace*{-0.5cm}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/Slip_Contact_Plots/FFT_Accelerations/top_z_acceleration_FFT.pdf}
\end{center}
\end{figure}

\vspace*{-0.90cm}
{horizontal acc. FFT   \hfill vertical acc. FFT}

\end{frame}










% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \subsection{Body and Surface Wave Verification}
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Seismic Body and Surface Waves}
% 
% \begin{itemize}
% 
%   \item Both body (P, SV and SH) and surface (Rayleigh, Love, etc) waves
%   are present
% 
%   \item Surface waves carry more seismic energy at distance
% 
%   \item    Analytically  (Aki and Richards 2002) and  numerically generated, 3D,
%   inclined (plane) body and surface waves are used in tests
% 
%   \item  Seismic moment from a point source at $2$km depth used
% 
%   \item Stress drop at the source: Ricker and/or Ormsby wavelets
% 
% \end{itemize}
% 
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Plane Wave Model}
% 
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model.pdf}
% \end{center}
% \end{figure}
% 
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Seismic Source Mechanics}
% 
% \vspace*{0.5cm}
% Stress drop, Ormsby wavelet
% 
% \vspace*{-1cm}
% \begin{figure}[H]
% \begin{flushright}
% \includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/Seismic_source_moment_couple.pdf}
% \end{flushright}
% \end{figure}
% 
% \vspace*{-1.9cm}
% \hspace*{-1cm}
% \begin{figure}[H]
% \begin{center}
% \hspace*{-0.4cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_TimeHistory/3000_3000_x_displacement.pdf}
% \hspace*{-0.4cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_FFT/3000_3000_x_displacement_FFT.pdf}
% \end{center}
% \end{figure}
% 
% \end{frame}
% 
% 
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Source Plane, Top 2km}
% 
% \vspace*{-0.4cm}
% \begin{figure}[H]
% \begin{flushright}
% \includegraphics[width=3cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model_at_SOURCE.pdf}
% \end{flushright}
% \end{figure}
% 
% \vspace*{-1.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/at_source_top2000/middle_acceleration_x.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/at_source_top2000/middle_acceleration_z.pdf}
% \end{center}
% \end{figure}
% 
% \vspace*{-0.90cm}
% {horizontal accelerations   \hfill vertical accelerations}
% 
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Middle (NPP) Plane, Top 2km}
% 
% \vspace*{-0.4cm}
% \begin{figure}[H]
% \begin{flushright}
% \includegraphics[width=3cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model_MIDDLE.pdf}
% \end{flushright}
% \end{figure}
% 
% \vspace*{-1.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/middle_top2000/middle_acceleration_x.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/middle_top2000/middle_acceleration_z.pdf}
% \end{center}
% \end{figure}
% 
% \vspace*{-0.90cm}
% {horizontal accelerations   \hfill vertical accelerations}
% 
% 
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Surface 6km}
% 
% \vspace*{-0.4cm}
% \begin{figure}[H]
% \begin{flushright}
% \includegraphics[width=3cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model_SURFACE.pdf}
% \end{flushright}
% \end{figure}
% 
% \vspace*{-1.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/surface_6km/middle_acceleration_x.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/Ormsby/surface_6km/middle_acceleration_z.pdf}
% \end{center}
% \end{figure}
% 
% \vspace*{-0.90cm}
% {horizontal accelerations   \hfill vertical accelerations}
% 
% 
% \end{frame}
% 
% 
% 
% 
% 
% 
% 




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \section{Case Studies}
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \subsection{Body and Surface Waves}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Body and Surface Seismic Waves}
% 
% \begin{itemize}
% \item  Investigate  influence  of  full  body  (P  and S)  and surface (Love and
% Rayleigh) waves on the NPP response
% 
% 
% \vspace*{0.2cm}
% \item Lack of correlation modeling (incoherence) for full 3D seismic motions 
% 
% \vspace*{0.2cm}
% \item Inclined wave fields and their influence on the NPP response
% 
% 
% \vspace*{0.2cm}
% \item Influence of soil/rock variability and uncertainty on seismic motions
% 
% 
% \end{itemize}
% 
% \end{frame}
% 
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Stress-Test NPPs for Different Wave Inclinations}
% 
% \vspace*{-0.6cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model_top_200m.pdf}
% \end{center}
% \end{figure}
% 
% \vspace*{-3.9cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/FaultSlip_Ormsby/figs/surface_200m/middle_acceleration_x.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FreeFieldInclinedMotionModels/FaultSlip_Ormsby/figs/surface_200m/middle_acceleration_z.pdf}
% \end{center}
% \end{figure}
% 
% \vspace*{-0.90cm}
% {horizontal accelerations   \hfill vertical accelerations}
% 
% 
% \end{frame}
% 
% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Example, Free Field, $45^o$ Inclined Ormsby Wavelet}
% 
% %\vspace*{-3.5cm}
% \begin{figure}[H]
% \begin{center}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_TimeHistory/5000_5000_x_acceleration.pdf}
% \hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/FaultModel_7seconds/xz_TimeHistory/5000_5000_z_acceleration.pdf}
% \end{center}
% \end{figure}
% 
% \vspace*{-0.90cm}
% {horizontal accelerations   \hfill vertical accelerations}
% 
% 
% \end{frame}
% 
% 
% 
%                                           




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Summary}
%\subsection{Summary}

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

\frametitle{Summary}

\begin{itemize}


\vspace*{0.1cm}
\item  Nonlinear behavior of the foundation -- soil/rock interface zone can have
beneficial and detrimental effects on the seismic response of NPPs

\vspace*{0.1cm}
\item Beneficial or Detrimental, such nonlinear interface does exists and has to
be properly modeled


\vspace*{0.1cm}
\item  High  fidelity numerical prediction relies heavily on proper verification
and validation

\vspace*{0.1cm}  
\item Information Portal:\\
{\large \bf \url{http://nrc-essi-simulator.info}}

\vspace*{0.1cm}  
\item Funding by and Collaboration with the U.S.-NRC is gratefully acknowledged



\end{itemize}



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






\end{document}


