\documentclass[12pt,landscape]{foils}
\usepackage{psfig}
\usepackage{pstricks}
\usepackage{fancybox}
%\usepackage[draft]{graphics}
\usepackage{graphics}
\usepackage[pdftex]{graphicx}
\usepackage[pdftex]{color} % for the colored block
% Basic things that we need are below
\usepackage[english]{babel}
\usepackage{hyperref}
\hypersetup{
pdfmenubar=true,
pdftoolbar=true,
pdfpagemode={None}
}
\usepackage{pause}
% HAS TO BE LAST PACKAGE
%\usepackage{pdfslide}
%\RequirePackage{color}
\RequirePackage{background}
\RequirePackage{hyperref}
\RequirePackage{pagetrans}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newfont{\cmhuge} {cmbxsl10 scaled 2200 }
\newfont{\cmbig} {cmbxsl10 scaled 1700 }
\newfont{\cmmedium} {cmbxsl10 scaled 1500 }
\newfont{\cmnormal} {cmbxsl10 scaled 1200 }
\newfont{\cmsmall} {cmbxsl10 scaled 800 }
%\newfont{\cmno} {cmbxsti10 scaled 1200 }
\newfont{\eightsl} {cmsl8 scaled 1000 }
\newfont{\boldsy} {cmbsy10 scaled 1000 }
\newfont{\boldold} {cmmib10 scaled 1000 }
% Define page margins
\setlength{\topmargin}{-3.0cm}
%\addtolength{\oddsidemargin}{-0.5in}
%\addtolength{\textwidth}{1.0in}
\setlength{\oddsidemargin}{-1.2cm}
\setlength{\textwidth}{25cm}
\setlength{\textheight}{19cm}
\setlength{\foilheadskip}{-1.2cm}
% Define colors
%\definecolor{topcol}{rgb}{0.9,0.9,1.0}
%\definecolor{topcol}{rgb}{0.5,0.5,0.9}
\definecolor{topcol}{rgb}{0.95,0.95,0.95}
%\definecolor{medcol}{rgb}{0.90,0.95,1.0}
\definecolor{botcol}{rgb}{0.95,0.95,0.95}
%\definecolor{medcol}{rgb}{0.1,0.1,0.9}
% Use following for gradient:
\vpagecolor[topcol]{botcol}
% % Use following for solid color:
% \pagecolor{medcol}
% \definecolor{mdwblue}{rgb}{0.2,0.2,0.6}
\definecolor{gray}{rgb}{0.3,0.3,0.3}
% \definecolor{darkgreen}{rgb}{0.2,0.7,0.2}
% % Set default color (used for title, footer, etc.)
% \renewcommand\normalcolor{\color{mdwblue}}
% Define various macros
%\newcommand{\slide}[1]{\foilhead{\slingbold #1}}
%\newcommand{\slide}[1]{\huge{\sc #1}}
%\newcommand{\slide}[1]{\foilhead{#1}}
\newcommand{\slide}[1]{\foilhead{\huge #1}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% JB sig
\newfont{\cyrjb}{wncyr10 scaled 1400 }
\newcommand{\JB}
{{\cyrjb \lower0.50ex\hbox{\uppercase{J}}\kern-.58em\hbox{\uppercase{B}}}}
\def\printlandscape{\special{landscape}} % Works with dvips.
% Set headers
%\MyLogo{\JB~Boris Jeremi{\'c}, UC Davis}
\MyLogo{{\footnotesize Jeremi{\'c}, 3rd UJNR Workshop}}
\rightfooter{\quad\textsf{\thepage}}
\def\slideleftmargin {1.0cm}
\def\sliderightmargin {1.0cm}
\def\slidetopmargin {1.0cm}
\def\slidebottommargin {1.0cm}
%
%
%
% \newcommand{\heading}[1]{%
% \begin{center}
% % \huge{\sc #1}%
% {\foilhead{\huge #1}}
% \end{center}
% \vspace{1ex minus 1ex}}
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\DeclareGraphicsExtensions{.jpg,.pdf,.mps,.png,.gif,.bmp}
%{\footnotesize
%\maketitle
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vspace*{0.0truecm}
\begin{center}
{\Large \bf
%\vspace*{1.5truecm} \\
\rule[-3mm]{0cm}{1.3cm} A Brief Overview of the \\
\rule[-3mm]{0cm}{1.3cm} NEESgrid Simulation Platform OpenSees: \\
\rule[-3mm]{0cm}{1.3cm} Application to the \\
\rule[-3mm]{0cm}{1.3cm} Soil--Foundation--Structure Interaction Problems \\
}
\end{center}
%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vspace*{1.0truecm}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{large}
\begin{center}
{\bf Boris Jeremi{\' c}}
\end{center}
\end{large}
\vspace*{-0.50truecm}
\begin{small}
\begin{center}
{Department of Civil and Environmental Engineering }\\
{University of California, Davis}\\
\end{center}
\end{small}
\begin{small}
\begin{center}
{Third UJNR Workshop on Soil-Structure Interaction}\\
{March 29-30, 2004, Vallombrosa Center, Menlo Park, California}\\
\end{center}
\end{small}
\begin{small}
\begin{description}
%\item Supported in part by the NSF--PEER \#~EEC-9701568,
%Cal--EPA \#~99-01337V,
\item Supported in part by the NSF, PEER, Caltrans, and Cal--EPA.
\item Collaborators:
Professors
Zhaohui Yang (UAA),
Sashi Kunnath (UCD),
%Bruce Kutter (UCD),
Gregory Fenves (UCB),
Jacobo Bielak (CMU),
%Bernd Hamann (UCD),
%Zhaojun Bai (UCD),
%George Karypis (UMN),
Drs.
Francis McKenna (UCB),
and
research students
Xiaoyan Wu (UW)
Ritu Jain (UCD),
%Qing Liu (UCD),
Jinxiu Liao (UCD).
\end{description}
\end{small}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Leitmotiv}
\begin{large}
\begin{itemize}
\vspace*{1.0cm}
\item Create high fidelity models of constructed facilities
(bridges, buildings, port structures, dams...).
\vspace*{1.0cm}
\item Models will live concurrently with the physical system
they represent.
\vspace*{1.0cm}
\item Models to provide owners and operators with the
capabilities to assess operations and future performance.
\vspace*{1.0cm}
\item Use observed performance to update and validate models
through simulations.
\end{itemize}
\end{large}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Presentation Overview}
\begin{large}
\begin{itemize}
\vspace*{1.0cm}
\item The NEES MiniGrand Challenge Project
\begin{itemize}
\item Validation experiments
\item Simulation challenge
\end{itemize}
\vspace*{1.0cm}
\item OpenSees NEESgrid simulation platform
\begin{itemize}
% \vspace*{1.0cm}
\vspace*{-0.1cm}
\item Template Elasto--Plasticity
\vspace*{-0.1cm}
\item Full Coupling of Solid and Fluid
\vspace*{-0.1cm}
\item Seismic Motions (FEM input)
\vspace*{-0.1cm}
\item Distributed Memory Parallel Computing
\vspace*{-0.1cm}
\item General Large Deformations
% \item Visualization
\end{itemize}
%\item
\end{itemize}
\end{large}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \slide{Goals of Validation}
%
% \begin{large}
%
% Quantification of uncertainties and errors in the computational model and the
% experimental measurements
%
%
%
% \begin{itemize}
%
% \vspace*{-0.4cm}
% \item Goals on validation
% \begin{itemize}
% \item Tactical goal: Identification and minimization of uncertainties and
% errors in the computational model
% \item Strategic goal: Increase confidence in the quantitative predictive
% capability of the computational model
% \end{itemize}
%
% \vspace*{-0.4cm}
% \item Strategy is to reduce as much as possible the following:
% \begin{itemize}
% \item Computational model uncertainties and errors
% \item Random (precision) errors and bias (systematic) errors in the experiments
% \item Incomplete physical characterization of the experiment
% \end{itemize}
%
% \end{itemize}
%
%
% \end{large}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- \slide{Validation Procedure Uncertainty}
%---
%--- \begin{large}
%---
%--- \begin{itemize}
%---
%--- \vspace*{1cm}
%--- \item Aleatory uncertainty $\rightarrow$ inherent variation associated with the
%--- physical system of the environment (variation in external excitation, material
%--- properties...). Also know known as irreducible uncertainty, variability and
%--- stochastic uncertainty.
%---
%---
%--- \vspace*{1cm}
%--- \item Epistemic uncertainty $\rightarrow$ potential deficiency in any phase of
%--- the modeling process that is due to lack of knowledge (poor understanding of
%--- mechanics...). Also known as reducible uncertainty, model form uncertainty and
%--- subjective uncertainty
%---
%---
%--- \end{itemize}
%---
%---
%--- \end{large}
%---
%---
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- \slide{Types of Physical Experiments}
%---
%--- \begin{large}
%--- \begin{itemize}
%---
%--- \vspace*{1.0truecm}
%--- \item {\bf Traditional Experiments}
%--- \begin{itemize}
%--- \item Improve the fundamental understanding of physics involved
%--- \item Improve the mathematical models for physical phenomena
%--- \item Assess component performance
%--- \end{itemize}
%---
%--- \vspace*{1.0truecm}
%--- \item {\bf Validation Experiments}
%--- \begin{itemize}
%--- \item Model validation experiments
%--- \item Designed and executed to quantitatively estimate mathematical
%--- model's ability to simulate well defined physical behavior
%--- \item The simulation tool (SimTool) (conceptual model, computational model,
%--- computational solution) is the customer
%--- \end{itemize}
%---
%---
%--- \end{itemize}
%--- \end{large}
%---
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Validation Experiments }
\begin{large}
\begin{itemize}
\vspace*{0.0truecm}
\item A validation experiment should be jointly designed and executed by
experimentalist and computationalist
\begin{itemize}
\item Need for close working relationship from inception to documentation
\item Elimination of typical competition between each
\item Complete honesty concerning strengths and weaknesses of both
experimental and computational simulations
\end{itemize}
\vspace*{0.0truecm}
\item A validation Experiment should be designed to capture the relevant physics
\begin{itemize}
\item Measure all important modeling data in the experiment
\item Characteristics and imperfections of the experimental facility
should be included in the model
\end{itemize}
\end{itemize}
\end{large}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- \slide{Validation Experiments (contd)}
%---
%--- \begin{large}
%--- \begin{itemize}
%---
%--- \vspace*{0.0truecm}
%--- \item A validation experiment should use any possible synergism between
%--- experiment and computational approaches
%--- \begin{itemize}
%--- \item Offset strength and weaknesses of computations and experiments
%--- \item Use high confidence simulations for simple physics to calibrate or
%--- improve the characterization of the experimental facility
%--- \item Conduct experiments with a hierarchy of physics complexity to
%--- determine where the computational simulation breaks (remember, SimTool is
%--- the customer!)
%--- \end{itemize}
%---
%---
%--- \vspace*{0.0truecm}
%--- \item Maintain independence between computational and experimental results
%--- \begin{itemize}
%--- \item Blind comparison, the computational simulations should be predictions
%--- \item Neither side is allowed to use fudge factors, parameters
%--- \end{itemize}
%---
%---
%--- \end{itemize}
%--- \end{large}
%---
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- % %%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- \slide{Validation Experiments (contd)}
%---
%--- \begin{large}
%--- \begin{itemize}
%---
%--- \vspace*{0.0truecm}
%--- \item Validate experiments on unit level problems, hierarchy of experimental
%--- measurements should be made which present an increasing range of
%--- computational difficulty
%--- \begin{itemize}
%--- \item Use of qualitative data (e.g. visualization) and quantitative data
%--- \item Computational data should be processed to match the experimental
%--- measurement techniques
%--- \end{itemize}
%---
%--- \vspace*{0.0truecm}
%--- \item Experimental uncertainty analysis should be developed and employed
%--- \begin{itemize}
%--- \item Distinguish and quantify random and correlated bias errors
%--- \item Use symmetry arguments and statistical methods to identify
%--- correlated bias errors
%--- \item Make uncertainty estimates on input quantities needed by the SimTool
%--- \end{itemize}
%---
%---
%---
%---
%---
%---
%--- \end{itemize}
%--- \end{large}
%---
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%---
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- \slide{Prediction}
%---
%--- \begin{large}
%--- \begin{itemize}
%---
%--- \vspace*{0.7truecm}
%--- \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*{0.7
%--- truecm}
%--- \item Validation does not directly make a claim about the accuracy of a prediction
%--- \begin{itemize}
%--- \item Computational models are easily misused (unintentionally or intentionally)
%--- \item How closely related are the conditions of the prediction and
%--- specific cases in validation database
%--- \item How well is physics of the problem understood
%---
%--- \end{itemize}
%---
%---
%--- \end{itemize}
%--- \end{large}
%---
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%--- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \slide{Relation Between Validation and Prediction}
%
% \begin{large}
%
% Quantification of confidence in a prediction:
%
% \begin{itemize}
%
% \vspace*{0.8truecm}
% \item How do I quantify validation and its inference value in a predictions?
%
% \vspace*{0.8truecm}
% \item How do I quantify verification and its inference value in a prediction?
%
% \vspace*{0.8truecm}
% \item How far are individual experiments in my validation database from my
% physical system of interest?
%
% % \item
%
% \end{itemize}
% \end{large}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Application Domain}
\begin{large}
\vspace*{0.3cm}
\begin{figure}[!h]
\begin{center}
%\vspace*{-2.5cm}
{\includegraphics[width=8.0cm]{/home/jeremic/tex/works/Presentation/2004/VandV/VPI03.pdf}}
%\vspace*{-1.0cm}
\end{center}
\end{figure}
%\vspace*{-0.4cm}
\begin{itemize}
\vspace*{-0.1cm}
\item Inference $\Rightarrow$ Based on {\bf physics} or {\bf statistics}
\vspace*{-0.1cm}
\item Validation domain $\rightarrow$ non--convex aggregation of physical tests
\vspace*{-0.1cm}
\item Physical experiments (NEES) provide for non--overlapping validation domain
\end{itemize}
\end{large}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{NEES SFSI Project}
%\begin{large}
\vspace*{-0.60cm}
\begin{figure}[!h]
\begin{center}
%\vspace*{-2.5cm}
{\includegraphics[width=19.0cm]{/home/jeremic/tex/works/Conferences/2004/SSI-US-Japan-inPaloAlto/Present/NEESminichallengeConcept.jpg}}
\end{center}
\end{figure}
\vspace*{-0.5cm}
Participants: Wood (UT), Anagnos (SHSU), Arduino (UW), Eberhard (UW), Fenves
(UCB), Finholt (UM), Futrelle (NCSA), Grant (UK), Jeremi{\'c} (UCD), Kramer
(UW), Kutter (UCD), Matamoros (UK), McMullin (SHSU), Ramirez (PU), Rathje (UT),
Saidi (UNR), Sanders (UNR), Stokoe (UT), Wilson (UCD).
%
% \begin{figure}[!h]
% \begin{center}
% %\vspace*{-2.5cm}
% {\includegraphics[width=14.0cm]{/home/jeremic/tex/works/Conferences/2004/SSI-US-Japan-inPaloAlto/Present/PrototypeBridgeDRM.jpg}}
% %\vspace*{-5.0cm}
% \end{center}
% \end{figure}
%
%\vspace*{-0.4cm}
% \begin{itemize}
% %\vspace*{0.2cm}
% \item
% %\vspace*{0.2cm}
% \item
% %\vspace*{0.2cm}
% \item
% \end{itemize}
%
%\end{large}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Validation SFSI Experiments}
\begin{large}
\vspace*{0.5cm}
\begin{figure}[!h]
\begin{center}
%\vspace*{-2.5cm}
{\includegraphics[width=8.1cm]{/home/jeremic/tex/works/Conferences/2004/SSI-US-Japan-inPaloAlto/Present/UCDavis.jpg}}
\hfill
{\includegraphics[width=8.1cm]{/home/jeremic/tex/works/Conferences/2004/SSI-US-Japan-inPaloAlto/Present/UTAustin.jpg}}
\hfill
{\includegraphics[width=8.1cm]{/home/jeremic/tex/works/Conferences/2004/SSI-US-Japan-inPaloAlto/Present/UNReno}}
%\vspace*{-5.0cm}
\end{center}
\end{figure}
%
% \begin{figure}[!h]
% \begin{center}
% %\vspace*{-2.5cm}
% {\includegraphics[width=14.0cm]{/home/jeremic/tex/works/Conferences/2004/SSI-US-Japan-inPaloAlto/Present/PrototypeBridgeDRM.jpg}}
% %\vspace*{-5.0cm}
% \end{center}
% \end{figure}
%
%\vspace*{-0.4cm}
\begin{itemize}
\vspace*{-0.1cm}
\item UC Davis centrifuge, single piles, bents, frames, scale 1/50
\vspace*{-0.1cm}
\item UT Austin, pile, pile--column, bent, scale 1/4
\vspace*{-0.1cm}
\item UN Reno, frame (3 bents), scale 1/4
\vspace*{-0.1cm}
\item Purdue U., pier components, scale 1/2 and 1/1
\end{itemize}
\end{large}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{The OpenSees Platform \\ SFSI components}
\begin{large}
\begin{itemize}
%%\vspace*{0.3cm}
%\item Fairly strictly based on Thermodynamics (Geomechanics)
\vspace*{-0.4cm}
\item Small deformation, single phase, linear and nonlinear elasticity and
incremental template elasto--plasticity (PY springs, 2D/3D solids)
%\vspace*{0.3cm}
\vspace*{-0.4cm}
\item General, large deformation huperelasticity and hyperelasto--plasticity for solids
%\vspace*{0.2cm}
\vspace*{-0.4cm}
\item Full coupling of solid and fluid ($u-p-U$), (small deformations only at the moment)
\vspace*{-0.4cm}
\item Elastic and inelastic beam--column elements, elastic
plate and plane stress elements (shells), small and large deformations
%\vspace*{0.3cm}
\vspace*{-0.4cm}
\item Seismic input through the Domain Reduction Method
\end{itemize}
%
\end{large}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \slide{Enabling Technologies }
% \begin{large}
%
% \begin{description}
%
% \vspace*{0.5cm}
% \item Template Elasto--Plasticity
%
% \vspace*{0.5cm}
% \item General Large Deformations
%
% \vspace*{0.5cm}
% \item Full Coupling of Solid and Fluid
%
% \vspace*{0.5cm}
% \item Domain Reduction Method
%
% \vspace*{0.5cm}
% \item Distributed Memory Parallel Computing
%
% \vspace*{0.5cm}
% \item Visualization
%
%
% \end{description}
% %
% \end{large}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Template Elasto--Plasticity }
\begin{large}
\begin{itemize}
\item Yield surfaces: von Mises,
Drucker--Prager,
Rounded Mohr--Coulomb,
Cam--Clay,
% Manzari--Dafalias (bounding surface plasticity) \verb!MD!,
Parabolic Leon,
% \vspace{1.0cm}
\item Plastic flow directions (potential surfaces): von Mises,
Drucker--Prager,
Rounded Mohr--Coulomb,
Cam--Clay,
Manzari--Dafalias,
Parabolic Leon,
\item Isotropic or kinematic hardening/softening
\begin{itemize}
\item linear and/or nonlinear isotropic hardening/softening
\item linear or nonlinear kinematic hardening/softening
% \begin{itemize}
% \item Armstrong--Fredericks nonlinear kinematic hardening/softening of up to 4 tensorial internal variables
% \item Bounding surface nonlinear (Dafalias--Popov) kinematic hardening/softening of up to 4 tensorial internal variables
% \end{itemize}
\end{itemize}
% \vspace{0.4cm}
\item Hierarchical database of models (by materials)
\end{itemize}
\end{large}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Template Examples}
\vspace*{-0.5cm}
\begin{figure}[!hbpt]
\begin{center}
%{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_DP_pp_q_eq.pdf}}
%{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_DP_pp_ev_eq.pdf}}
%\hspace*{0.4cm}
%{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_vM_ls_q_eq.pdf}}
%{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_vM_ls_ev_eq.pdf}}
%\vspace*{-3cm}
%\\
{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/Cam_S_SOC_q_eq.pdf}}
{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/Cam_S_SOC_ev_eq.pdf}}
\hspace*{0.4cm}
{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/Cam_S_HOC_q_eq.pdf}}
{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/Cam_S_HOC_ev_eq.pdf}}
\vspace*{-3cm}
\\
{\includegraphics[width=5.45cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_MD_ltmd_NC_q_eq.pdf}}
{\includegraphics[width=5.45cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_MD_ltmd_NC_ev_eq.pdf}}
\hspace*{0.4cm}
{\includegraphics[width=5.45cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_MD_ltmd_HOC_q_eq.pdf}}
{\includegraphics[width=5.45cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_MD_ltmd_HOC_ev_eq.pdf}}
\vspace*{-3cm}
\\
{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/Cam01_SOC_cyc_q_eq.pdf}}
{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/Cam01_SOC_cyc_ev_eq.pdf}}
\hspace*{0.4cm}
{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_MD_ltmd_cyc_q_eq.pdf}}
{\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_MD_ltmd_cyc_ev_eq.pdf}}
\vspace*{-3cm}
\end{center}
\end{figure}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \slide{Template Cyclic Examples}
%
% \vspace*{-1cm}
%
% %
% \begin{figure}[!hbpt]
% \begin{center}
% {\includegraphics[width=6.2cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_vM_nlt_cyc_q_eq.pdf}}
% {\includegraphics[width=6.2cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_vM_nlt_cyc_ev_eq.pdf}}
% \vspace*{-3cm}
% \\
% {\includegraphics[width=6.2cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/Cam01_SOC_cyc_q_eq.pdf}}
% {\includegraphics[width=6.2cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/Cam01_SOC_cyc_ev_eq.pdf}}
% \vspace*{-3cm}
% \\
% {\includegraphics[width=6.2cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_MD_ltmd_cyc_q_eq.pdf}}
% {\includegraphics[width=6.2cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/DP_MD_ltmd_cyc_ev_eq.pdf}}
% \end{center}
% \end{figure}
% %
% \vspace*{-2cm}
%
%
%
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{ Single Pile in Layered Soils}
\vspace*{-4.5truecm}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=11.0cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_dsand_UFmid2hdp0.pdf}
\hfill
\includegraphics[width=11.0cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_sand_wsfclay_UFmid2hdp0.pdf}
\end{center}
%\vspace*{-0.3cm}
\end{figure}
\vspace*{-4.5truecm}
\begin{normalsize}
\begin{figure}[!hbpt]
\begin{center}
%{\includegraphics[height=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/spUF_plastified_clay_xz_gs.jpg}}
%{\includegraphics[height=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/spUF_plastified_clay_sand_xz_gs.jpg}}
{\includegraphics[height=8.0cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/spUF_plastified_sand_xz_gs.jpg}}
\hfill
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/spUFmesh.jpg}
\hfill
{\includegraphics[height=8.0cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/spUF_plastified_sand_clay_xz_gs.jpg}}
\end{center}
\vspace*{-1truecm}
\end{figure}
\end{normalsize}
%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{ Pile Group Simulations}
\vspace*{-3.5cm}
\begin{figure}[!hbpt]
\begin{center}
%{\includegraphics*[width=12cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/p4X3_Joey_iso.pdf}}
%\hfill
{\includegraphics*[width=12cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/p4X3_PlasticZone_iso.pdf}}
\hfill
{\includegraphics*[width=12cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/LoadRatio_per_pile_Dense_pg4x3.pdf}}
%{\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/p4X3_PlasticZone_xz.pdf}}
%\\
\end{center}
\end{figure}
\vspace*{-2.3cm}
\begin{itemize}
\item Plastic zone
\item Load distribution
\item Pile interactions (P-Y)
\end{itemize}
\vspace*{-9.0cm}
\begin{figure}[!hbpt]
%\begin{center}
\hspace*{8.0cm}
{\includegraphics[width=16cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/pg4x3_p_y_allpiles_20.jpg}}
%\end{center}
\vspace*{-2.3cm}
\end{figure}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \slide{Validation with Centrifuge Tests}
%
% \begin{figure}[!hbpt]
% \vspace*{-8.3cm}
% \begin{center}
% {\includegraphics[width=22.0cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/Com_LoadRatio_per_row_Dense_pg4x3.pdf}}
% \end{center}
% \vspace*{-8.3cm}
% \end{figure}
% %
% %
% % \begin{large}
% % \begin{itemize}
% % \item Good agreement for larger loads
% % \end{itemize}
% % \end{large}
% %
% %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Full Coupling of Solid and Fluid }
%\begin{large}
%\begin{itemize}
%
%%\vspace*{0.5cm}
%%\item General form, full coupling, (currently only small deformations)
%
%
%%%\vspace*{0.5cm}
%%\item DOFs: $\bar{u}_{Lj} \rightarrow$ solid displacement
%%$\bar{p}_L \rightarrow$ fluid pressure
%%$\bar{U}_{Lj} \rightarrow$ fluid displacement
%
%
%%%
%\end{itemize}
% \vspace*{-1.0cm}
\begin{small}
% \begin{eqnarray}
\noindent
$
\left[
\begin{array}{ccc}
(M_s)_{KijL} & 0 & 0 \\
0 & 0 & 0 \\
0 & 0 & (M_f)_{KijL} \\
\end{array}
\right]
\left[
\begin{array}{c}
\ddot{\bar{u}}_{Lj} \\
\ddot{\bar{p}}_L \\
\ddot{\bar{U}}_{Lj} \\
\end{array}
\right]
+
\\
\left[
\begin{array}{ccc}
(C_1)_{KijL} & 0 & -(C_2)_{KijL} \\
0 & 0 & 0 \\
-(C_2)_{LjiK} & 0 & (C_3)_{KijL} \\
\end{array}
\right]
\left[
\begin{array}{c}
\dot{\bar{u}}_{Lj} \\
\dot{\bar{p}}_L \\
\dot{\bar{U}}_{Lj} \\
\end{array}
\right]
+
\\
\left[
\begin{array}{ccc}
(K^{EP})_{KijL} & -(G_1)_{KiL} & 0 \\
-(G_1)_{LjK} & -(P)_{KL} & -(G_2)_{LjK} \\
0 & -(G_2)_{KiL} & 0 \\
\end{array}
\right]
\left[
\begin{array}{c}
{\bar{u}}_{Lj} \\
{\bar{p}}_L \\
{\bar{U}}_{Lj} \\
\end{array}
\right]
=
\\
\left[
\begin{array}{c}
({\bar{f}}_s)_{Ki} \\
{0} \\
({\bar{f}}_f)_{Ki} \\
\end{array}
\right]
$
% \end{eqnarray}
%
%\vspace*{1.0cm}
%where
\vspace*{2.5cm}
% \begin{eqnarray*}
$(C_1)_{KijL} = (C_2)_{KijL} = (C_3)_{KijL} = $
\\ ~ \\
$\int_\Omega N_K^{u,U} n^2 k_{ij}^{-1} N_L^{u,U} d\Omega $
% \nonumber
% \end{eqnarray*}
\end{small}
\vspace*{-17.5cm}
\begin{figure}[!hbpt]
\begin{center}
\hspace*{14cm}
%\includegraphics[width=10cm]{/home/jeremic/tex/works/Thesis/XiaoyanWu/06sept2002/40elementlink_2.pdf}
%\hspace*{-2cm}
\includegraphics[width=14cm]{/home/jeremic/tex/works/Thesis/XiaoyanWu/06sept2002/40elementlink_3.pdf}
%\hspace*{-4cm}
%\includegraphics[width=10cm]{/home/jeremic/tex/works/Thesis/XiaoyanWu/06sept2002/40elementlink_5.pdf}
%\hspace*{-2cm}
%\includegraphics[width=10cm]{paper.ps}
\end{center}
\end{figure}
%Half space, ramp load $k=10^{-3,5}m/s$
%
%\end{large}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Seismic Input}
\begin{large}
\begin{itemize}
\item Domain Reduction Method, (Bielak et al. at CMU)
% \item Superposition of the large scale domain $+$ local geologic feature
\item Seismic motions and accelerations input at the layer of
elements that encompass an elastic--plastic zone (using SHAKE,
Green's functions, Quake, SCEC...), non--reflective boundaries
\end{itemize}
\end{large}
\begin{normalsize}
\begin{figure}[!htbp]
\vspace*{-1.0cm}
\begin{center}
{\includegraphics[width=25cm]{/home/jeremic/tex/works/Conferences/2004/SSI-US-Japan-inPaloAlto/Present/DRM-NEES.jpg}}
\vspace*{-1.50cm}
\end{center}
%\vspace*{-0.3cm}
\end{figure}
\end{normalsize}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \slide{ Seismic Wave Propagation Model}
%
% \begin{figure}[!h]
% \vspace*{-0.8cm}
% \begin{center}
% {\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/model1a.jpg}}
% \\
% \vspace*{-4.0cm}
% {\includegraphics[width=10.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/Inp_acc0507.pdf}}
% %\hfill
% {\includegraphics[width=10.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/Inp_dis0507.pdf}}
% \vspace*{-4.8cm}
% \end{center}
% \end{figure}
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \slide{ Seismic Wave Propagation \\ Soft Soil}
%
%
% \begin{figure}[!h]
% %\begin{center}
% \vspace*{-3.5cm}
% {\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/TS/DL_SS.pdf}}
% \hspace{-1.8cm}
% {\includegraphics[width=13.7cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/TS/DY_SS.pdf}}
% \vspace*{-5.0cm}
% %\end{center}
% \end{figure}
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \slide{ Seismic Wave Propagation \\ Stiff Soil}
%
%
% \begin{figure}[!h]
% %\begin{center}
% \vspace*{-2.5cm}
% {\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/TS/DL_TS.pdf}}
% \hspace{-1.8cm}
% {\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/TS/DY_TS.pdf}}
% \vspace*{-5.0cm}
% %\end{center}
% \end{figure}
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Verification SFSI Model}
\begin{figure}[!h]
\vspace*{-0.0cm}
\begin{center}
{\includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2003/7USNCCM/PlasticBowl/model3.jpg}}
\\
\vspace*{-3.8cm}
{\includegraphics[width=10.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/newthesis/figures/Model3/AT.pdf}}
%\hfill
{\includegraphics[width=10.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/newthesis/figures/Model3/DT.pdf}}
\vspace*{-2.8cm}
\end{center}
\end{figure}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{ SFSI: Stiff Soil Model}
\begin{figure}[!h]
%\begin{center}
\vspace*{-2.5cm}
{\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Conferences/2003/7USNCCM/PlasticBowl/DL_T617.pdf}}
\hspace{-1.8cm}
{\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Conferences/2003/7USNCCM/PlasticBowl/DL_T615.pdf}}
\vspace*{-5.0cm}
%\end{center}
\end{figure}
\hspace*{4cm} Free Field \hspace*{10cm} SFSI
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{ SFSI: Soft Soil Model}
\begin{figure}[!h]
%\begin{center}
\vspace*{-2.5cm}
{\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Conferences/2003/7USNCCM/PlasticBowl/DL_M617.pdf}}
\hspace{-1.8cm}
{\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Conferences/2003/7USNCCM/PlasticBowl/DL_M615.pdf}}
\vspace*{-5.0cm}
%\end{center}
\end{figure}
\hspace*{4cm} Free Field \hspace*{10cm} SFSI
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{SFSI Model: Pile--Column Behavior}
\begin{figure}[!h]
%\begin{center}
\vspace*{-2.5cm}
{\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Conferences/2003/7USNCCM/PlasticBowl/Top_T615.pdf}}
\hspace{-1.8cm}
{\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Conferences/2003/7USNCCM/PlasticBowl/Top_M615.pdf}}
\vspace*{-5.0cm}
%\end{center}
\end{figure}
\hspace*{4cm} Stiff soil \hspace*{10cm} Soft soil
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{SFSI Model: Seismic Results}
\begin{figure}[!h]
%\begin{center}
\vspace*{-2.5cm}
{\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/newthesis/figures/Eq_P/P_T_DL_NS.pdf}}
\hspace{-1.8cm}
{\includegraphics[width=13.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/newthesis/figures/Eq_P/P_S_DL_NS.pdf}}
\vspace*{-5.0cm}
%\end{center}
\end{figure}
\hspace*{4cm} Stiff soil \hspace*{10cm} Soft soil
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \slide{ Wave Propagation (DRM)}
%
% \begin{figure}[!h]
% \vspace*{-3.8cm}
% \begin{center}
% {\includegraphics[width=8.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/Inp_acc0507.pdf}}
% %\hfill
% {\includegraphics[width=8.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/Inp_dis0507.pdf}}
% \hfill
% {\includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/model1a.jpg}}
% \end{center}
% \end{figure}
%
% \begin{figure}[!h]
% %\begin{center}
% \vspace*{-6.5cm}
% {\includegraphics[width=12.5cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/TS/DL_SS.pdf}}
% \hspace{-1cm}
% {\includegraphics[width=12.7cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/thesis/figures/TS/DY_SS.pdf}}
% \vspace*{-5.0cm}
% %\end{center}
% \end{figure}
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{I--880 SFSI Example}
\begin{figure}[!h]
\vspace*{-0.6cm}
\begin{center}
{\includegraphics[width=16cm]{/home/jeremic/tex/works/Thesis/JinxiuLiao/soilmeshDEEP02.jpg}}
\hspace*{7cm}
\\
\vspace*{-4cm}
{\includegraphics[width=11cm]{/home/jeremic/tex/works/Presentation/2003/PEER-Site-Visit/I880_system.jpg}}
\hfill
{\includegraphics[width=8cm]{/home/jeremic/tex/works/Presentation/2002/SFBayComputingDay/I-880_02.jpg}}
\vspace*{-4cm}
\end{center}
\end{figure}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{ SFSI Advantageous}
\begin{figure}[!h]
%\begin{center}
\vspace*{-5.2cm}
{\includegraphics[width=12cm]{/home/jeremic/oofep/OpenSees/EXAMPLES/ExampleScripts/I-880_Bent16/Structure/Earthquake/Damping/SFSI-beneficialA.pdf}}
\hfill
{\includegraphics[width=12cm]{/home/jeremic/oofep/OpenSees/EXAMPLES/ExampleScripts/I-880_Bent16/Structure/Earthquake/Damping/SFSI-beneficialB.pdf}}
\vspace*{-1.0cm}
%\end{center}
\end{figure}
\vspace*{2.2cm}
Kobe--JMA
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{ SFSI Disadvantageous}
\begin{figure}[!h]
%\begin{center}
\vspace*{-5.2cm}
{\includegraphics[width=12cm]{/home/jeremic/oofep/OpenSees/EXAMPLES/ExampleScripts/I-880_Bent16/Structure/Earthquake/Damping/SFSI-detrimentalA.pdf}}
\hfill
{\includegraphics[width=12cm]{/home/jeremic/oofep/OpenSees/EXAMPLES/ExampleScripts/I-880_Bent16/Structure/Earthquake/Damping/SFSI-detrimentalB.pdf}}
\vspace*{-1.0cm}
%\end{center}
\end{figure}
\vspace*{2.2cm}
LP--Corralitos
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\slide{Conclusions}
\begin{large}
\begin{itemize}
\vspace*{0.5cm}
\item SFSI problem requires close cooperation of experimentalists, modelers and simulators,
\vspace*{0.5cm}
\item {\bf Validation domain} and {\bf Application domain} to be bridged using simulation tools,
\vspace*{0.5cm}
\item One such simulation tool is OpenSees, the NEESgrid simulation platform
\vspace*{0.5cm}
\item The main OpenSees web site \texttt{http://opensees.berkeley.edu/} has
links to documentation, examples, source code, executables, message board...
%\vspace*{1.0cm}
%\item
\end{itemize}
\end{large}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \newpage
% \begin{center}
% \includegraphics[height=5.5truecm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/Plastified_3X3pg_skewCOLOR.jpg}
% \includegraphics[height=5.5truecm]{/home/jeremic/public_html/GeoWulf/GeoWulf_01_Nov2001a.jpg}
% \includegraphics[height=5.5truecm]{/home/jeremic/tex/works/Papers/2001/Visualization/pic30.jpg}
% \includegraphics[height=5.5truecm]{/home/jeremic/tex/works/Papers/2001/Visualization/pic71.jpg}
% \\
% \includegraphics[height=6.0truecm]{/home/jeremic/tex/works/Papers/2001/Visualization/pic80.jpg}
% \includegraphics[height=6.0truecm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_sand_wsfclay_UFmid2hdp0.pdf}
% \includegraphics[height=6.0truecm]{/home/jeremic/tex/works/Reports/2001/PEER/FinalReport/sp2_stress_pile_isoSmall.jpg}
% % \includegraphics[height=5.0truecm]{/home/jeremic/tex/works/Reports/2001/PEER/FinalReport/sp2_MQP_pile.jpg}
% \\
% \includegraphics[height=6.0truecm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/Cube/Cubic_el_05.jpg}
% \includegraphics[height=6.0truecm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/Cube/Cubic_pl_05.jpg}
% \includegraphics[height=6.0truecm]{/home/jeremic/tex/works/Conferences/2002/WCCM/Keynote/Present/p-version_slope.jpg}
% \end{center}
%
%\vspace*{1cm}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\end{document}
\bye