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%  \usetheme{Marburg} % ima naslov i sadrzaj sa desne strane
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%  \usetheme{Singapore} % ima sadrzaj i tackice gore
%  \usetheme{Antibes}  % ima sadrzaj gore i kao graf ...
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% does not look nice, try deleting the line with the fontenc.


\title[Modeling and Simulations of Liquefied Soils]
% (optional, use only with long paper titles)
{Piles in Liquefied Soils}

%\subtitle
%{{\tiny full set of slides available at:}\\
%%\verb{http://sokocalo.engr.ucdavis.edu/~jeremic/}
%}


\author[Boris Jeremi{\'c}, University of California, Davis] % (optional, use only with lots of authors)
{Boris~Jeremi{\'c}, Zhao Cheng, \\ 
{\footnotesize in collaboration with  } \\ 
Mahdi Taiebat, and Yannis Dafalias}
% - Give the names in the same order as the appear in the paper.
% - Use the \inst{?} command only if the authors have different
%   affiliation.

\institute[UC Davis] % (optional, but mostly needed)
{
%  Department of Civil and Environmental Engineering\\
  University of California, Davis \\ and \\
  EarthMechanics Inc. Fountain Valley}
% - 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 PEER Annual Meeting January 2007, \\
%\texttt{http://sokocalo.engr.ucdavis.edu/$\tilde{~}$jeremic/}
}
% - Either use conference name or its abbreviation.
% - Not really informative to the audience, more for people (including
%   yourself) who are reading the slides online

\subject{}
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% out. 



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\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
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% - A conference audience is likely to know very little of what you
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%   just say so once. Everybody will be happy with that.

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\section{Formulation}


\subsection{One Slide}

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\begin{frame}
 \frametitle{Formulation and the Implementation}

\begin{itemize}
  \item Fully coupled $u-p-U$ formulation and 3D implementation
  \item  Physical,  velocity  proportional  damping from solid--fluid interaction
  (not using Raleigh damping)
  \item Accelerations of pore fluid not neglected
  \item  Formulation and implementation verified on a number of available closed
  form solutions
  \item Stable implementation for near incompressible (physical) pore fluid
  \item Dafalias Manzari (2004) material model used
  \item  Single  set  of  elastic--plastic  parameters for all stages of loading
  (self weight, shaking, dissipation)

\end{itemize}
%\vspace*{-2.0cm}
\end{frame}


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\section{Examples}

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\subsection{Seismic Behavior of Horizontal Grounds}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Level Ground, Dense Sand}


\vspace*{-0.5cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=11cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/DenseLevelGround.jpg} \\
\end{center}
\end{figure}



\end{frame}

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Medium Sand}
% 
% 
% 
% 
% \end{frame}
% 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Level Ground, Loose Sand}


\vspace*{-0.5cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=11cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/LooseLevelGround.jpg} \\
\end{center}
\end{figure}




\end{frame}

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\subsection{Seismic Behavior of Sloping  Grounds}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Sloping Ground, Dense Sand}

\vspace*{-0.5cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=11cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/DenseSlopingGround.jpg} \\
\end{center}
\end{figure}


% 

\end{frame}

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Medium Sand}
% 
% 
% 
% 
% \end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Sloping Ground, Loose Sand}

\vspace*{-0.5cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=11cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/LooseSlopingGround.jpg} \\
\end{center}
\end{figure}




\end{frame}

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\subsection{Piles in Liquefying Soils}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Bridge Pier--Pile Model}


\vspace*{-0.5cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=7cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/PileBridgeModel01.jpg} \\
  \includegraphics[width=7cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/PileBridgeModel02.jpg} \\
\end{center}
\end{figure}





\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Bridge Pier in Level Ground}

\vspace*{-0.5cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=11cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/PileBridgeLevelGroundEPP.jpg} \\
\end{center}
\end{figure}





\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Bridge Pier in Sloping Ground}

\vspace*{-0.5cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=11cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/PileBridgeSlopingGroundEPP.jpg} \\
\end{center}
\end{figure}





\end{frame}

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\section*{Summary}
\subsection*{Summary}

\begin{frame}
 \frametitle{Summary}

\begin{itemize}

     \item Verification: 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.}

     \item Validation:  The process of determining the degree to which a
   model  is  accurate  representation of the real world from the perspective of
   the  intended  uses  of  the  model.  Physics issue. {\it Validation provides
   evidence that the correct model is solved.}

   \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

%
%\item Models available (some now, some later) 

%\vspace*{0.5cm}
\end{itemize}



\end{frame}



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\end{document}


