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\title[UCD CompGeoMech \\ Contributions to OpenSees:\\ Deliverables]
% (optional, use only with long paper titles)
{UCD CompGeoMech \\ Contributions to OpenSees:\\ Deliverables}
%\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)
{Prof. Yang, Dr. Cheng, \\
GSRs Jie, Sett, Taiebat, Preisig, Wu, Liu
\\
~
\\
Boris Jeremi{\'c}}
% - 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}
% - 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 OpenSees Annual Meeting, San Francisco, 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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%% Delete this, if you do not want the table of contents to pop up at
%% the beginning of each subsection:
% \AtBeginSubsection[]
% {
% \begin{frame}
% \frametitle{Outline}
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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
% 15 and 30 frames, all told.
% - A conference audience is likely to know very little of what you
% are going to talk about. So *simplify*!
% - In a 20min talk, getting the main ideas across is hard
% enough. Leave out details, even if it means being less precise than
% you think necessary.
% - If you omit details that are vital to the proof/implementation,
% just say so once. Everybody will be happy with that.
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\section{Material Models, Elements and Procedures}
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\subsection{Elastic Material Models}
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\begin{frame}
\frametitle{Elastic Material Models}
\begin{itemize}
\item Small deformation elasticity
\begin{itemize}
\item linear isotropic
\item nonlinear isotropic
\item cross anisotropic
\end{itemize}
\vspace*{0.5cm}
\item Large deformation hyperelasticity
\begin{itemize}
\item Neo--Hookean
\item Ogden
\item Logarithmic
\item Mooney--Rivlin
\item Simo--Pister
\end{itemize}
\end{itemize}
%\vspace*{-2.0cm}
\end{frame}
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\subsection{Elastic--Plastic (Templated3DEP) Continuum Models}
\begin{frame}
\frametitle{Elastic--Plastic Continuum Models: Small Deformations}
\begin{itemize}
\item Yield surfaces:
\begin{itemize}
\item von Mises
\item Drucker--Prager
\item Cam--Clay
\item Rounded Mohr--Coulomb
\item Parabolic Leon
\end{itemize}
\item Plastic flow directions (plastic potential functions):
\begin{itemize}
\item von Mises
\item Drucker--Prager
\item Cam--Clay
\item Rounded Mohr--Coulomb
\item Parabolic Leon
\item Dafalias Manzari
\end{itemize}
% \item Evolution Laws (hardening and/or softening laws):
% \begin{itemize}
% \item linear scalar,
% \item nonlinear scalar (Cam--Clay type),
% \item linear tensorial (kinematic hardening/softening: translational
% and/or rotational)
% \item nonlinear tensorial (kinematic hardening/softening: translational
% and/or rotational)
% \begin{itemize}
% \item Armstrong Frederick hardening
% \item bounding surface hardening/softening
% \end{itemize}
% \end{itemize}
\end{itemize}
%\vspace*{-2.0cm}
\end{frame}
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%\subsection{Elastic--Plastic Continuum Models}
\begin{frame}
\frametitle{Elastic--Plastic Continuum Models: Small Deformations (continued)}
\begin{itemize}
% \item Yield surfaces:
% \begin{itemize}
% \item von Mises
% \item Drucker--Prager
% \item Cam--Clay
% \item Rounded Mohr--Coulomb
% \item Parabolic Leon
% \end{itemize}
%
% \item Plastic flow directions (plastic potential functions):
% \begin{itemize}
% \item von Mises
% \item Drucker--Prager
% \item Cam--Clay
% \item Rounded Mohr--Coulomb
% \item Parabolic Leon
% \item Dafalias Manzari
% \end{itemize}
%
\item Evolution Laws (hardening and/or softening laws):
\begin{itemize}
\item linear scalar,
\item nonlinear scalar (Cam--Clay type),
\item linear tensorial (kinematic hardening/softening: translational
and/or rotational)
\item nonlinear tensorial (kinematic hardening/softening: translational
and/or rotational)
\begin{itemize}
\item Armstrong--Frederick hardening
\item bounding surface hardening/softening
\end{itemize}
\end{itemize}
\end{itemize}
%\vspace*{-2.0cm}
\end{frame}
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%\subsection{Small Deformation Elastic--Plastic Continuum}
\begin{frame}
\frametitle{Hyperelastic--Plastic Continuum Models: Large Deformations}
\begin{itemize}
\item Yield surfaces
\begin{itemize}
\item von Mises,
\item Drucker--Prager...
\end{itemize}
\item Plastic flow directions (plastic potential functions):
\begin{itemize}
\item Drucker--Prager,
\item von Mises,
\end{itemize}
\item Evolution Laws:
\begin{itemize}
\item linear and nonlinear scalar,
\item nonlinear scalar
\item linear and nonlinear (AF) tensorial (kinematic hardening/softening: translational
and/or rotational)
\end{itemize}
\end{itemize}
%\vspace*{-2.0cm}
\end{frame}
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%%\subsection{Small Deformation Elastic--Plastic Continuum}
%
%\begin{frame}
% \frametitle{Probabilistic Elasto--Plasticity }
%
%\begin{itemize}
% \item Small deformation {\it template} elasto--plasticity
% \begin{itemize}
% \item Yield surfaces:
% von Mises, Drucker--Prager, Cam--Clay, Rounded Mohr--Coulomb, Parabolic Leon...
% \item Plastic flow directions: Drucker--Prager, von
% Mises, Cam--Clay, Rounded Mohr--Coulomb, Manzari Dafalias
% \item Evolution Laws: Linear scalar, nonlinear scalar (CamClay), Linear
% (translational and rotational) tensorial, nonlinear (translational and
% rotational) tensorial (Armstrong Frederick and bounding surface),
% \end{itemize}
% \item Large deformation {\it template} hyperelasto--plasticity
% \begin{itemize}
% \item Yield surfaces:
% von Mises, Drucker--Prager...
% \item Plastic flow directions: Drucker--Prager, von
% Mises, Cam--Clay, Rounded Mohr--Coulomb, Manzari Dafalias
% \item Evolution Laws: Linear/nonlinear scalar, Linear
% (translational and rotational) tensorial
% \end{itemize}
% \item Stochastic elasto--plasticity
%
%\end{itemize}
%%\vspace*{-2.0cm}
%\end{frame}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%\begin{frame}
% \frametitle{Elastic--Plastic Continuum Models (Contd.)}
%
%\begin{itemize}
% \item Pressure dependent soil model (for sand and silt)
% \item Pressure independent soil model (for clays and silts)
% \item Large deformation {\it template} hyperelasto--plasticity
% \item Stochastic elasto--plasticity
%
%\end{itemize}
%%\vspace*{-2.0cm}
%\end{frame}
%
%
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\subsection{Single Phase Solid Finite Elements}
\begin{frame}
\frametitle{Single Phase Formulations}
\begin{itemize}
\item Small deformation solid elements, bricks (8, 20, 21, 27, 8-20 variable node bricks)
\vspace*{0.5cm}
\item Stochastic Elastic--Plastic Finite Element Method
\item Large deformation (total Lagrangian) solid elements, bricks (20 node brick)
\end{itemize}
%\vspace*{-2.0cm}
\end{frame}
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\subsection{Multi Phase Solid Finite Elements, Coupled}
\begin{frame}
\frametitle{Multi Phase Formulations}
\begin{itemize}
\item Fully coupled, u--p--U elements (3D) for small deformations
\vspace*{0.5cm}
\item Fully coupled, u--p (3D) elements for small deformations
\vspace*{0.5cm}
\item Fully coupled u--p (3D) elements for large deformations
\end{itemize}
% Degrees of freedom (DOFs) are:
%
% \begin{itemize}
% \item $u \rightarrow$ solid displacements,
% \item $p \rightarrow$ pore fluid pressures,
% \item $U \rightarrow$ pore fluid displacements
% \end{itemize}
%\vspace*{-2.0cm}
\end{frame}
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\subsection{Solution Control Computational Procedure}
\begin{frame}
\frametitle{Hyperspherical Arc--length Solution Control}
\begin{equation}
\left[
\begin{array}{cc}
{\bf K}_{t} & - {\bf f}_{ext}^{} \\
2 \frac{\psi_{u}^{2}}{u_{ref}^{2}} \Delta {\bf u}^{T} {\bf S} & 2 \Delta \lambda \;
\psi_{f}^{2}\\
\end{array}
\right]
\left[
\begin{array}{c}
\delta {\bf u} \\
\delta \lambda
\end{array}
\right]
=
- \left[
\begin{array}{c}
{\bf r}^{old} \\
a^{old}
\end{array}
\right]
\nonumber
\end{equation}
\vspace*{-1cm}
\begin{figure}[htb]
\begin{center}
\includegraphics[width=5.0cm]{/home/jeremic/tex/works/psfigures/ArcLengthMethod02.pdf}
\hfill
\includegraphics[width=5.0cm]{/home/jeremic/tex/works/psfigures/ArcLengthMethod03.pdf}
\end{center}
\label{ArcLengthMethodFig023}
\end{figure}
\vspace*{-1cm}
%\vspace*{-2.0cm}
\end{frame}
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\subsection{Domain Reduction Method: Seismic Loading Application}
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\begin{frame}
\frametitle{Domain Reduction Method (Bielak et al.)}
\vspace*{-1.0cm}
\begin{figure}[!htb]
{\includegraphics[width=4cm]{/home/jeremic/tex/works/Conferences/2003/7USNCCM/PlasticBowl/DRM05.pdf}}
\end{figure}
\vspace*{-1.5cm}
%\unitlength 1cm
%\begin{large}
\begin{eqnarray*}
\left\{\begin{array}{c} P^{eff}_i \\ P^{eff}_b \\ P^{eff}_e \end{array}\right\}
= \left\{\begin{array}{c} 0 \\ -M^{\Omega+}_{be} \ddot{u}^0_e-K^{\Omega+}_{be}u^0_e
\\ M^{\Omega+}_{eb}\ddot{u}^0_b+K^{\Omega+}_{eb}u^0_b\end{array}\right\}
\end{eqnarray*}
%\vspace*{-2.0cm}
\end{frame}
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\subsection{Other...}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Other Related (more or less) Work}
\begin{itemize}
\item Plastic Domain Decomposition (PDD) method
\vspace*{0.5cm}
\item Stochastic Elastic--Plastic Finite Element Method
\vspace*{0.5cm}
\item Visualization for Earthquake Engineering
Simulations (VEES) system driver
(computational steering,
pre-- and post--processing)
\end{itemize}
\end{frame}
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\section{Deliverables: People, Implementation and Documents}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
\frametitle{Documentation: Literate Programming}
\begin{itemize}
\item Implementation follows formulation
\vspace*{0.3cm}
\item Formulation follows mechanics and numerics
\vspace*{0.3cm}
\item Methodology goal: low Kolmogorov (program--size) complexity
\vspace*{0.3cm}
\item Verification, Validation and
Prediction
\vspace*{0.3cm}
\item Open Source (GPL)
\end{itemize}
\end{frame}
%-
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\subsection{Theory Manual}
\begin{frame}
\frametitle{Theory Manual}
\begin{itemize}
\item Detailed theoretical background
\vspace*{0.3cm}
\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}
%\vspace*{0.5cm}
\vspace*{0.3cm}
\item Support for literate programming (DEK)
\end{itemize}
\end{frame}
%-
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\subsection{Implementation Manual}
\begin{frame}
\frametitle{Implementation Manual}
\begin{itemize}
\item Application Programming Interface (API)
\begin{itemize}
%\vspace*{0.3cm}
\item Public API is forever (asset, liability)
%\vspace*{0.5cm}
%\vspace*{0.3cm}
\item Realistically, API evolves
%\vspace*{0.3cm}
\item API design is tough (perfection is unachievable, but try anyway)
\end{itemize}
\vspace*{0.3cm}
\item Literate programming drives API
\end{itemize}
\end{frame}
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\subsection{Examples Manual}
\begin{frame}
\frametitle{Examples Manual}
\begin{itemize}
\item Basic validation examples,
(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.})
%\vspace*{0.5cm}
\item Advanced, practical, real life predictive examples
(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 Command manual part of examples manual
\end{itemize}
\end{frame}
%-
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\section*{Conclusions}
\begin{frame}
\frametitle{Conclusions}
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\begin{itemize}
%\vspace*{0.5cm}
\item A rich variety of models, elements and procedures have been
\begin{itemize}
\vspace*{0.5cm}
\item Theories, formulations, implementation details, as well as verification,
validation and application examples are available at:
\texttt{http://sokocalo.engr.ucdavis.edu/$\tilde{~}$jeremic/}
\end{itemize}
\end{frame}
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\end{document}