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\title{
ESSI Simulator Program, Current Status}
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% affiliation.
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\pgfdeclareimage[height=0.7cm]{lbnl-logo}{/home/jeremic/BG/amblemi/lbnl-logo}
\author[Jeremi{\'c}] % (optional, use only with lots of authors)
{N.~Tafazzoli, F.~Pisan{\`o}, J.~A. Abbel M.,
B.~Kamrani,
C.-G.~Jeong,
B.~Aldridge,
R. Roche,
A.~Kammerer, and \\~\\
B.~Jeremi{\'c},
}
%
%
%{Boris~Jeremi{\'c, } }
%{Boris~Jeremi{\'c}, Nima Tafazzoli, Babak Kamrani, Panagiota Tasiopoulou and
%Chang-Gyun Jeong}
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\institute[\pgfuseimage{university-logo}\hspace*{0.1truecm}\pgfuseimage{lbnl-logo}] % (optional, but mostly needed)
{ Professor, University of California, Davis, CA\\
% and\\
Faculty Scientist, Lawrence Berkeley National Laboratory, Berkeley, CA }
% - Use the \inst command only if there are several affiliations.
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\date[] % (optional, should be abbreviation of conference name)
{\small SMiRT 22\\
San Francisco, August 2013}
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\section{Motivation}
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\subsection*{Motivation}
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\begin{frame}
\frametitle{The Problem}
\begin{itemize}
\item Modeling and simulation of a realistic nonlinear seismic response of
Nuclear Power Plants
\vspace*{0.1cm}
\item 3D, inclined seismic motions consisting of body and surface waves
\vspace*{0.1cm}
\item Inelastic (elastic, damage, plastic) behavior of materials and
components:
soil, rock, contacts, seismic isolators, concrete, steel, etc.
\vspace*{0.1cm}
\item Full coupling of pore fluids (in soil and rock and contacts)
with soil/rock skeleton
%\vspace*{0.1cm}
% \item Buoyant effects (foundation below water table)
\vspace*{0.1cm}
\item Uncertainty in seismic sources, path, soil/rock and structural
response
\end{itemize}
\end{frame}
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\begin{frame}
\frametitle{Proposed Solution}
\begin{itemize}
%\vspace*{0.3cm}
\item {\bf Physics based modeling and simulation} (reduce {\bf modeling
uncertainty}) of seismic behavior of
soil-structure systems (NPP structures, components and systems)
\vspace*{0.1cm}
\item Development and use of {\bf high fidelity} time domain,
nonlinear numerical models,
in {\bf deterministic} and {\bf probabilistic} spaces
\vspace*{0.1cm}
\item Accurate following of the {\bf flow of seismic
energy} (input and dissipation) within soil-structure NPP system
%\vspace*{0.1cm}
% \item {\bf Direct}, in space and time, with {\bf high
% confidence}, seismic energy flow in the soil-structure system
%\vspace*{0.1cm}
% \item {\bf Education} for researchers, professional practice.
\end{itemize}
\end{frame}
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\begin{frame}
% \frametitle{Seismic Energy Dissipation for \underline{Soil}-Foundation-Structure Systems}
\frametitle{High Fidelity Modeling of Energy Flow}
% \frametitle{Seismic Energy Dissipation for
% \underline{Soil}-Foundation-Structure Systems}
\begin{itemize}
\item Energy influx, {body and surface waves, 3D, inclined}
% $E_{flux} = \rho A c \int_0^t \dot{u}_i^2 dt$ (Aki \& Richards)
\vspace*{0.1cm}
\item Mechanical dissipation outside of SSI domain:
\begin{itemize}
\item {Radiation} of reflected waves
\item {Radiation} of oscillating SSI system
\end{itemize}
\vspace*{0.1cm}
\item Mechanical dissipation inside SSI domain:
\begin{itemize}
\item {Plasticity} of soil/rock subdomain
\item {Plasticity} of foundation -- soil/rock interface
\item {Viscous coupling} of porous solid with pore fluid (air,
water)
\item Plasticity/damage of the structure
\item Viscous coupling of structure/foundation with fluids
% \item potential and kinetic energy
% \item[] potential $\leftarrow \! \! \! \! \! \! \rightarrow$ kinetic energy
\end{itemize}
\vspace*{0.1cm}
% \item Numerical energy dissipation (numerical damping/production and period errors)
% \item Numerical energy dissipation (damping/production)
\item Numerical energy dissipation/production
\end{itemize}
%
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\section{ESSI Simulator System}
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\subsection{ESSI Simulator System}
\begin{frame}
\frametitle{ESSI Project}
\begin{itemize}
%\vspace*{0.5cm}
\item Development of the ESSI Simulator System
for Hi-Fi modeling and simulation of non-linear earthquake
soil/rock structure interaction problems:
\begin{itemize}
% \item Time domain, nonlinear, parallel finite element program:
\item {\bf ESSI-Program} is a 3D, nonlinear, time domain,
high performance, parallel finite element program specifically developed for
high fidelity modeling and simulation of Earthquake Soil/Rock Structure
Interaction problems for NPPs
% \item High performance, parallel computer:
\item {\bf ESSI-Computer}
% \item Educational endeavor, documentation:
\item {\bf ESSI-Notes}
\end{itemize}
%
% \item { The ESSI-Program} is a 3D, nonlinear, time domain,
% parallel finite element program specifically developed for
% Hi-Fi modeling and simulation of Earthquake Soil/Rock Structure
% Interaction problems for NPPs on ESSI-Computer. \
% %\vspace*{0.3cm}
% %\vspace*{0.1cm}
% \item Educational effort is essential!
% %): US-NRC, US-DOE, CNSC Staff Capacity Building (seminars, short courses,
% %ESSI Notes, advising), targeting wider audience as well
%
% %\vspace*{0.1cm}
% \item Development of ESSI case studies:
% 3D, uncorrelated, inclined seismic motions; nonlinear soil/rock;
% foundation interface slip; coupled/buoyant effects; seismic energy dissipation
%\vspace*{0.1cm}
\item A UCD/LBNL project with funding from and collaboration with the US-NRC, CNSC,
US-NSF, US-DOE, LLNL, INL,
AREVA NP GmbH, Shimizu Corp. etc.
\end{itemize}
\end{frame}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \begin{frame}
% \frametitle{ESSI Simulator System}
%
% \begin{itemize}
%
% \item {\bf The ESSI-Program} is a 3D, nonlinear, time domain,
% parallel finite element program specifically developed for
% Hi-Fi modeling and simulation of Earthquake Soil/Rock Structure
% Interaction problems for NPPs on ESSI-Computer. \
% %\vspace*{0.3cm}
% \vspace*{0.1cm}
% \item {\bf The ESSI-Computer} is a distributed memory
% parallel computer, a cluster of clusters with multiple performance
% processors and multiple performance networks.
% %Compute nodes are Shared Memory Parallel
% %(SMP) computers, that are connected, using high speed network(s), into a
% %Distributed Memory Parallel (DMP) computer.
%
% %\vspace*{0.3cm}
% \vspace*{0.1cm}
% \item {\bf The ESSI-Notes} are a hypertext
% documentation system
% %(Theory and Formulation, Software and Hardware, Verification and Validation, and
% %Case Studies and Practical Examples)
% detailing modeling and simulation of NPP ESSI
% problems.
% %
% %the
% % ESSI-Program code API (application Programming Interface) and DSLs (Domain
% %Specific Language).
% %% ESSI-Notes, developed by Boris Jeremic and collaborators, are in public
% %domain
% %%and are licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported
% %%License.
% %
% %\vspace*{0.3cm}
% \end{itemize}
%
% \end{frame}
%
%
% %
% %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \begin{frame}
% \frametitle{ESSI Simulator Program}
%
% \begin{itemize}
%
% %\vspace*{0.2cm}
% \item Based on a Collection of Useful Libraries (modular, portable)
%
% \vspace*{0.1cm}
% \item Library centric software design
%
% \vspace*{0.1cm}
% \item Various open source licenses (GPL, LGPL, BSD, CC)
%
% %\vspace*{0.3cm}
% \vspace*{0.1cm}
% \item Extensive Verification and Validation
%
%
% \vspace*{0.1cm}
% \item Detailed program documentation (part of ESSI Notes)
%
% \vspace*{0.1cm}
% \item Target users: Regulators: US-NRC, CNSC; Applicants, Operators/Owners,
% Designers, Professional practice experts
%
% %\item Sources will be available through
% %{\bf
% %\url{http://nrc-essi-simulator.info}}
%
%
% \end{itemize}
%
% \end{frame}
%
%
%
%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Collection of Useful Libraries (Modeling Part)}
%
% \begin{itemize}
%
%
% \vspace*{0.2cm}
% \item Template3D-EP libraries for elastic and elastic-plastic
% computations (UCD, CC)
%
% \vspace*{0.2cm}
% \item FEMTools finite element libraries provide
% finite elements (solids,
% beams, shells, contacts/isolators, seismic input) (UCD, UCB, CU, CC)
%
%
% \vspace*{0.2cm}
% \item Loading, staged, self weight, service loads, seismic loads
% (the Domain Reduction Method, analytic input
% (incoming/outgoing) of 3D, inclined, un-correlated seismic motions)
% (UCD, CC)
%
% \vspace*{0.2cm}
% \item Domain Specific Language for input (UCD, CC)
%
%
%
% \end{itemize}
%
% \end{frame}
%
%
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Collection of Useful Libraries (Simulation Part)}
%
% \begin{itemize}
%
%
%
%
%
% \vspace*{0.12cm}
% \item Plastic Domain Decomposition (PDD) for parallel computing (UCD, CC)
%
%
% \vspace*{0.12cm}
% \item PETSc (ANL, GPL-like) and UMFPACK (UF, GPL) solvers
%
%
% \vspace*{0.12cm}
% \item Modified OpenSees Services (MOSS) for managing the finite
% element domain (UCD, CC; UCB, GPL?)
%
% \vspace*{0.12cm}
% \item nDarray (UCD, CC), LTensor (CIMEC, GPL),
% BLAS (UTK, GPL) for lower level
% computational tasks,
%
% \vspace*{0.12cm}
% \item Message Passing Interface (MPI, openMPI, new BSD license)
%
% \end{itemize}
%
% \end{frame}
%
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Structural Finite Elements}
% \begin{itemize}
%
% \item Linear and nonlinear truss element
%
% \vspace*{0.1cm}
% \item Linear and nonlinear beam (displacement based, with versions for 6DOF per
% node, or 5DOF per node, or 4DOF per node, etc.)
%
% \vspace*{0.1cm}
% \item Linear thin quad (ANDES) shell with drilling DOFs
%
% \vspace*{0.1cm}
% \item Linear and nonlinear thick shell (solid)
%
% \end{itemize}
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Solid Finite Elements}
%
% \begin{itemize}
% \item Single phase solid bricks
% \begin{itemize}
% \item 8 node
% \item 20 node
% \item 27 node % (also thick shell element)
% \item 8-27 variable node
% \end{itemize}
%
% \vspace*{0.3cm}
% \item Two phase (fully coupled, porous solid, pore fluid) solid bricks
% \begin{itemize}
% \item 8 node ($u-p-U$; $u-p$)
% \item 27 node ($u-p-U$; $u-p$)
% \end{itemize}
% \end{itemize}
%
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Special Finite Elements}
% \begin{itemize}
%
% \vspace*{0.1cm}
% \item Dry contact frictional shear slip and normal indentation-gap element
%
% \vspace*{0.2cm}
% \item Saturated contact (effective stress) shear slip and normal indentation-gap element
%
% \vspace*{0.2cm}
% \item Seismic isolator (rubber) and dissipators (rubber with lead, friction pendulum)
%
% \end{itemize}
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Material Models}
%
% \begin{itemize}
% \item Elastic: linear, nonlinear isotropic, cross anisotropic
%
% \vspace*{0.2cm}
% \item Elastic-Plastic: von Mises, Drucker--Prager,
% Cam-Clay, Rounded Mohr-Coulomb, Parabolic Leon,
% SANIsand (Dafalias--Manzari...), SANIclay, Pisan{\`o},
%
%
% \vspace*{0.2cm}
% \item Isotropic and kinematic
% (translational and rotational)
% kinematic hardening
%
% \end{itemize}
%
% %\vspace*{-2.0cm}
% \end{frame}
%
%
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{High Performance, Parallel Computing}
%
% \begin{itemize}
%
% \item The ESSI Simulator can be used in both sequential and
% parallel modes
%
% \vspace*{0.2cm}
% \item For high fidelity models, parallel is really the only option
%
% \vspace*{0.2cm}
% \item High performance, parallel computing using
% Plastic Domain Decomposition
% Method
%
%
% \vspace*{0.2cm}
% \item Automatic, dynamic (run-time) computational and network load balancing
%
% \vspace*{0.2cm}
% \item Developed for multiple/variable capability CPUs and
% networks (DMP and
% SMPs)
%
% \end{itemize}
%
% \end{frame}
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}[fragile]
% \frametitle{ESSI Computer}
% \begin{itemize}
% \item ESSI Program is a distributed memory parallel (DMP)
% designed for high performance,
% parallel finite element simulations
% \vspace*{0.2cm}
% \item Multiple performance CPUs and Networks
% \vspace*{0.2cm}
% \item Most cost / performance effective
% \vspace*{0.2cm}
% \item Source compatibility with any DMP supercomputer
% \vspace*{0.2cm}
% \item Essentially it is a cluster of PCs
% % \item 15 current users (U.S.-NRC and UCD)
% % \item Development phases
% % \begin{itemize}
% % \item December 2010
% % \item April 2012
% % \item Winter/Spring 2013
% % \end{itemize}
%
%
% \end{itemize}
% \end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
% \begin{frame}
% \frametitle{ESSI Simulator Notes}
%
% \begin{itemize}
%
% \item A hypertext documentation system describing in detail
% modeling and simulations of NPP ESSI
% problems
%
% \begin{itemize}
%
% \item Theoretical and Computational Formulations (FEM, EL-PL, Static and
% Dynamic solution, Parallel Computing)
%
% \item Software and Hardware Platform Design (OO Design, Library centric design,
% API, DSL, Software Build Process, Hardware Platform)
%
% \item Verification and Validation (code V, Components V, Static and Dynamic V,
% Wave Propagation V)
%
% \item Application to Practical Nuclear Power Plant Earthquake Soil/Rock Structure
% Interaction Problems (ESSI with 3D, inclined, uncorrelated seismic waves, ESSI
% with foundation slip, Isolators)
%
% \end{itemize}
%
%
% \end{itemize}
%
% \end{frame}
%
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\section{Modeling and Applications}
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\subsection{Pisan{\`o} Model, $G/G_{max}$ and Damping Curves}
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\begin{frame}
\frametitle{Pisan{\`o} Elastic Plastic Material Model}
\begin{itemize}
\item 3D incremental elastic-plastic material model that can be calibrated
from $G/G_{max}$ and damping curve data
% \item Split stress into frictional and viscous components
% $\sigma_{ij}=\sigma_{ij}^{f} + \sigma_{ij}^{v}$
\item Elasticity: linear or nonlinear
\item Yield surface, Drucker-Prager cone, collapsed (limit analysis,
vanishing elastic regions) to cylinder (von Mises), with conical bounding
surface
\item Plastic flow and rotational kinematic hardening, similar to
Manzari-Dafalias model (1997)
\item Yield (loading-unloading) condition established using stress projection
%
% \item Special (unique) developments of a stiffness tensor (used for FEM)
\end{itemize}
\end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Pisan{\`o} Model: Triaxial and Pure Shear Response}
%
%
% \begin{figure} [!htb]
% \centering
% \includegraphics [width=5.5cm] {/home/jeremic/tex/works/Papers/2012/Bounding_Surface_Frictional_Model/Figures/res1a.pdf}
% \includegraphics [width=5.8cm] {/home/jeremic/tex/works/Papers/2012/Bounding_Surface_Frictional_Model/Figures/res1b.pdf}
% \\
% \includegraphics [width=5.5cm] {/home/jeremic/tex/works/Papers/2012/Bounding_Surface_Frictional_Model/Figures/res2a.pdf}
% \includegraphics [width=5.5cm] {/home/jeremic/tex/works/Papers/2012/Bounding_Surface_Frictional_Model/Figures/res2b.pdf}
% \label{fig:res1}
% \end{figure}
%
%
%
%
% \end{frame}
%
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Pisan{\`o} Model: Calibration for $G/G_{max}$ and Damping}
%
%
%
%
% \begin{figure} [!htb]
% \centering
% \includegraphics [width=0.8\textwidth] {/home/jeremic/tex/works/Papers/2012/Bounding_Surface_Frictional_Model/Figures/res3.pdf}
% \hfill
% \caption{Comparison between experimental and simulated $G/G_{max}$
% and damping curves ($p_0$=100 kPa, T=2$\pi$ s, $\zeta$ = 0.003, $G_{max}$ = 4
% MPa, $\nu$=0.25, $M$=1.2, $k_d$=$\xi$=0, $h$=$G$/(112$p_0$), $m$=1.38)}
% \label{fig:res3}
% \end{figure}
%
%
% \end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Pisan{\`o} Model: Calibration for $G/G_{max}$ and Damping}
\begin{figure} [!htb]
\centering
\includegraphics [width=0.8\textwidth] {/home/jeremic/tex/works/Papers/2012/Bounding_Surface_Frictional_Model/Figures/res4.pdf}
\hfill
\caption{Comparison between experimental and simulated $G/G_{max}$
and damping curves ($p_0$=100 kPa, T=2$\pi$ s, $\zeta$ = 0.003, $G_{max}$ = 4
MPa, $\nu$=0.25, $M$=1.2, $k_d$=$\xi$=0, $h$=$G_{max}$/(15$p_0$), $m$=1)}
\label{fig:res4}
\end{figure}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Pisan{\`o} Model: Variation in Confining Pressure}
%
%
%
% \begin{figure} [!htb]
% \centering
% \includegraphics [width=0.8\textwidth] {/home/jeremic/tex/works/Papers/2012/Bounding_Surface_Frictional_Model/Figures/res7.pdf}
% \hfill
% \caption{Simulated $G/G_{max}$ and damping curves at varying
% confining pressure (T=2$\pi$ s, $G_{max}$ = 4 MPa, $\nu$=0.25, $M$=1.2,
% $k_d$=$\xi$=0, $h$=$G$/(15$p_0$), $m$=1)}
% \label{fig:res5}
% \end{figure}
%
%
%
%
% \end{frame}
%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Pisan{\`o} Model: Variation in Hardening Parameter $h$}
%
%
%
% \begin{figure} [!htb]
% \centering
% \includegraphics [width=0.8\textwidth] {/home/jeremic/tex/works/Papers/2012/Bounding_Surface_Frictional_Model/Figures/res5.pdf}
% \hfill
% \caption{Simulated $G/G_{max}$ and damping curves at varying h
% ($p_0$=100 kPa, $T$=2$\pi$ s, $G_{max}$ = 4 MPa, $\nu$=0.25, $M$=1.2,
% $k_d$=$\xi$=0, $m$=1)}
% \label{fig:res6}
% \end{figure}
%
%
%
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Pisan{\`o} Model: Variation in Hardening Parameter $m$}
%
%
%
% \begin{figure} [!htb]
% \centering
% \includegraphics [width=0.8\textwidth] {/home/jeremic/tex/works/Papers/2012/Bounding_Surface_Frictional_Model/Figures/res6.pdf}
% \hfill
% \caption{Simulated $G/G_{max}$ and damping curves at varying m
% ($p_0$=100 kPa, $T$=2$\pi$ s, $G_{max}$ = 4 MPa, $\nu$=0.25, $M$=1.2,
% $k_d$=$\xi$=0, $h$=$G_{max}$/(15$p_0$))}
% \label{fig:res7}
% \end{figure}
%
%
%
%
% \end{frame}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Pisan{\`o} Model: Variation in Viscous Damping}
%
%
%
%
% \begin{figure} [!htb]
% \centering
% \includegraphics [width=0.4\textwidth] {/home/jeremic/tex/works/Papers/2012/Bounding_Surface_Frictional_Model/Figures/res9.pdf}
% % \hfill
% \caption{Damping curves simulated at varying $\zeta_0$ ($p_0$=100 kPa,
% $T$=2$\pi$ s, $G_{max}$ = 4 MPa, $\nu$=0.25, $M$=1.2, $k_d$=$\xi$=0,
% $h$=$G_{max}$/(15$p_0$), $m$=1)}
% \label{fig:res9}
% \end{figure}
%
%
%
%
% \end{frame}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Soil Volume Response}
\begin{itemize}
\item Soil behavior is very much a function of volumetric response
\item Dilative soils: increase volume due to shearing
\item Compressive soils: decrease volume due to shearing
\item Modulus reduction and damping curves do not provide volumetric data
\item Soil volume change will affect response due to volume constraints
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
% \frametitle{No Volume Change, Compressive and Dilative Soil}
\frametitle{No Volume Change and Dilative Soil}
\begin{figure}[!h]
\begin{center}
\hspace*{-1cm}
\includegraphics[width=6.3cm]{/home/jeremic/tex/works/Thesis/FedericoPisano/Pisano_model/Issue_of_dilatancy/sine1Hz-4.pdf}
%\hspace*{-0.3cm}
% \includegraphics[width=4.3cm]{/home/jeremic/tex/works/Thesis/FedericoPisano/Pisano_model/Issue_of_dilatancy/sine1Hz_comp-4.pdf}
\hspace*{-0.3cm}
\includegraphics[width=6.3cm]{/home/jeremic/tex/works/Thesis/FedericoPisano/Pisano_model/Issue_of_dilatancy/sine1Hz_dil-4.pdf}
\end{center}
\end{figure}
\end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Northridge, No Volume Change Soil}
%
% \vspace*{-0.6cm}
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=10cm]{/home/jeremic/tex/works/Thesis/FedericoPisano/Pisano_model/Issue_of_dilatancy/Northridge1-2.pdf}
% \end{center}
% \end{figure}
%
% \end{frame}
%
% %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Northridge, Dilatant Soil}
%
% \vspace*{-0.6cm}
% \begin{figure}[!h]
% \begin{center}
% \includegraphics[width=10cm]{/home/jeremic/tex/works/Thesis/FedericoPisano/Pisano_model/Issue_of_dilatancy/Northridge1-3.pdf}
% \end{center}
% \end{figure}
%
% \end{frame}
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Northridge, No Volume Change and Dilative Soils}
\vspace*{-0.6cm}
\begin{figure}[!h]
\begin{center}
\includegraphics[width=10cm]{/home/jeremic/tex/works/Thesis/FedericoPisano/Pisano_model/Issue_of_dilatancy/Northridge1-4.pdf}
\end{center}
\end{figure}
\end{frame}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Northridge, No Volume Change and Dilative Soils}
\vspace*{-0.6cm}
\begin{figure}[!h]
\begin{center}
\includegraphics[width=10cm]{/home/jeremic/tex/works/Thesis/FedericoPisano/Pisano_model/Issue_of_dilatancy/Northridge1-5.pdf}
\end{center}
\end{figure}
\end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \subsection{Ground Motions}
%
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Free Field, Inclined, 3D Body and Surface Waves}
%
% \begin{itemize}
%
% \item Development of analytic and numerical 3D, inclined, uncorrelated
% seismic motions for verification
%
% \vspace*{0.2cm}
% \item Large scale models
%
% \vspace*{0.2cm}
% \item Point shear source
%
% \vspace*{0.2cm}
% \item Stress drop:
% \begin{itemize}
%
% \item Wavelet (Ricker, \\
% Ormsby, etc)
%
% \item Analytic
%
%
% \end{itemize}
%
% \vspace*{0.2cm}
% \item Seismic input using DRM (Bielak et al (2003))
%
% \end{itemize}
%
%
%
%
% \vspace*{-4.6cm}
% \begin{flushright}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/wave_propagation/figs/FaultSlipModel2km.pdf}
% \end{flushright}
%
%
%
% \end{frame}
%
%
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Domain Reduction Method (Bielak et al.)}
% % \begin{itemize}
% % \item
% % \end{itemize}
%
%
%
% The effective force $P^{eff}$ \\
% is a dynamically consistent \\
% replacement the dynamic \\
% source forces $P_{e}$
%
% % \end{itemize}
%
% \vspace*{0.5cm}
% \begin{eqnarray}
% P^{eff} = \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\}
% \nonumber
% \label{DRMeq09}
% \end{eqnarray}
% %
%
% \vspace*{-6.1cm}
% \begin{flushright}
% \includegraphics[width=6.5cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/wave_propagation/figs/DRMModel.pdf}
% %\caption{Domain to be analyzed for the $2^{nd}$ analysis stage of DRM with smaller size
% % comparing to the original model}
% %\label{fig:DRMModel}
% \end{flushright}
%
%
%
% \end{frame}
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Verification: Displacements, Top Middle Point }
% % \begin{itemize}
% % \item
% % \end{itemize}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{figure}[!htbp]
% \begin{center}
% \begin{tabular}{ccc}
% %\hline
% (X)
% &
% (Z)
% \\
% \includegraphics[width=5.0cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/wave_propagation/figs/ricker_2km/top_middle_comparison_disp_x.pdf}
% &
% \includegraphics[width=5.0cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/wave_propagation/figs/ricker_2km/top_middle_comparison_disp_z.pdf}
% &
% \end{tabular}
% %\caption{Comparison of displacements for top middle point using Ricker wave $(f=1Hz)$ as an input motion}
% %\label{fig:ricker_acc}
% \end{center}
% \end{figure}
%
%
%
% \end{frame}
%
%
% %
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{frame}
% % \frametitle{Verification: Accelerations, Top Middle Point }
% % % \begin{itemize}
% % % \item
% % % \end{itemize}
% %
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{figure}[!htbp]
% % \begin{center}
% % \begin{tabular}{ccc}
% % %\hline
% % (X)
% % &
% % (Z)
% % \\
% % \includegraphics[width=5.0cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/wave_propagation/figs/ricker_2km/top_middle_comparison_accel_x.pdf}
% % &
% % \includegraphics[width=5.0cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/wave_propagation/figs/ricker_2km/top_middle_comparison_accel_z.pdf}
% % &
% % \end{tabular}
% % %\caption{Comparison of accelerations for top middle point using Ricker wave $(f=1Hz)$ as an input motion}
% % %\label{fig:ricker_acc}
% % \end{center}
% % \end{figure}
% %
% %
% %
% %
% % \end{frame}
% %
% %
% %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Verification: Disp. and Acc., Out of DRM }
% % \begin{itemize}
% % \item
% % \end{itemize}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{figure}[!htbp]
% \begin{center}
% \begin{tabular}{ccc}
% %\hline
% Displacement
% &
% Acceleration
% \\
% \includegraphics[width=5.0cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/wave_propagation/figs/ricker_2km/10_40_disp_x.pdf}
% &
% \includegraphics[width=5.0cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/wave_propagation/figs/ricker_2km/10_40_accel_x.pdf}
% &
% \end{tabular}
% %\caption{Displacement and acceleration time history for a point outside of DRM layer in (x) direction}
% %\label{fig:out_ricker_disp}
% \end{center}
% \end{figure}
%
%
%
% \end{frame}
%
%
%
%
%
%
%
%
%
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \begin{frame}
% \frametitle{Northridge 3D FE Model}
% \vspace*{-3.5cm}
% \begin{figure}
% % \includegraphics[scale=0.35]{Present06_figs/3DModel.pdf}
% \includegraphics[scale=0.35]{/home/jeremic/tex/works/Conferences/2013/NRC_Short_Course_May2013/Present/Jose_fix/presentation/Present06_figs/3DModel.pdf}
% \end{figure}
% \end{frame}
%
%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % \begin{frame}
% % \frametitle{FE Model}
% % \begin{figure}
% % % \includegraphics[scale=0.4]{Present06_figs/3DModelxzPlane.pdf}
% % \includegraphics[scale=0.4]{Present06_figs/3DModelxzPlane.pdf}
% % \end{figure}
% % \end{frame}
% %
% %
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Northridge 3D Model Properties}
% \begin{itemize}
% \item Model Properties
% \begin{itemize}
% \item 90 m $\times$ 90 m $\times$ 90 m dimension
% \item Vs1 = 300 m/s, Vs2 = 400 m/s
% \item Poisson's ratio1 = 0.25, Poisson's ratio2 = 0.25
% % \item Density1 = 940 kg/m$^3$, Density2 = 990 kg/m$^3$
% \end{itemize}
% \vspace{2mm}
% \item Input Wave Properties
% \begin{itemize}
% \item Northridge earthquake source properties
% \item Generated using fk program
% \end{itemize}
% \end{itemize}
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{FEM Results, EW Component}
% \vspace*{-3.5cm}
% \begin{figure}
% % \includegraphics[scale=0.5]{Present06_figs/90m_Northridge_EW.pdf}
% \includegraphics[scale=0.5]{/home/jeremic/tex/works/Conferences/2013/NRC_Short_Course_May2013/Present/Jose_fix/presentation/Present06_figs/90m_Northridge_EW.pdf}
% \end{figure}
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{FEM Results, NS Component}
% \vspace*{-3.5cm}
% \begin{figure}
% % \includegraphics[scale=0.5]{Present06_figs/90m_Northridge_NS.pdf}
% \includegraphics[scale=0.5]{/home/jeremic/tex/works/Conferences/2013/NRC_Short_Course_May2013/Present/Jose_fix/presentation/Present06_figs/90m_Northridge_NS.pdf}
% \end{figure}
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \begin{frame}
% \frametitle{FEM Results, UD Component}
% \vspace*{-3.5cm}
% \begin{figure}
% % \includegraphics[scale=0.5]{Present06_figs/90m_Northridge_UD.pdf}
% \includegraphics[scale=0.5]{/home/jeremic/tex/works/Conferences/2013/NRC_Short_Course_May2013/Present/Jose_fix/presentation/Present06_figs/90m_Northridge_UD.pdf}
% \end{figure}
% \end{frame}
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\subsection{Contact Base Isolation}
%
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Few Illustrative Examples}
%
% \begin{itemize}
% \item Slip between foundation slab and the soil/rock
% underneath
%
% \vspace*{0.2cm}
% \item Passive seismic isolation by liquefaction
%
% \vspace*{0.2cm}
% \item Structural response in liquefied soil
%
%
% \end{itemize}
%
% \end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Nuclear Power Plant with Base Slip}
\begin{itemize}
\item Low friction zone between \\
concrete foundation and soil/rock
\item Inclined, 3D, body and surface, \\
seismic wave field (wavelets: \\
Ricker, Ormsby; real seismic, etc.)
\end{itemize}
\vspace*{-4.0cm}
\begin{figure}[!h]
\begin{flushright}
\includegraphics[width=2.50cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model_top_200m.pdf}
%{\includegraphics[width=4.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Feb2011/Case_study_model/visit0002.jpeg}}
\end{flushright}
\end{figure}
\vspace*{-0.9cm}
\begin{figure}[!h]
\begin{flushright}
{\includegraphics[width=4.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Feb2011/Case_study_model/visit0002.jpeg}}
\end{flushright}
\end{figure}
\vspace*{-3.6cm}
\begin{figure}[H]
\begin{center}
%\vspace*{-0.5cm}
%\includegraphics[width=2.0cm]{/home/jeremic/tex/works/Conferences/2011/NRC_LBNL_Review_Panel_Sept2011/2D_faul_slip_model_top_200m.pdf}
%\hspace*{0.5cm}
%\vspace*{0.2cm}
\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}
%
\vspace*{-0.5cm}
\hspace*{0.8cm}
\mbox{horizontal}
\hspace*{4cm}
\mbox{vertical}
\hspace*{3cm}
\end{center}
\end{figure}
\vspace*{-1.0cm}
%
% %\vspace*{-3.5cm}
% \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*{-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}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Acc. Response for a Full 3D (at $45^\circ$) Ricker Wavelet}
\begin{figure}[H]
\begin{center}
\begin{tabular}{rr}
%\hline
\mbox{\tiny top X}\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/91_97/top_structure_x_acceleration.pdf}
&
\mbox{\tiny top Z}\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/91_97/top_structure_z_acceleration.pdf}
\\
\mbox{\tiny bottom X}\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/91_97/bottom_structure_x_acceleration.pdf}
&
\mbox{\tiny bottom Z}\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/91_97/bottom_structure_z_acceleration.pdf}
\end{tabular}
%\caption{Comparison of acceleration time histories of the structure between
%slipping and no-slipping models for Ricker wave}
\label{fig:3d_ricker_acc_1000}
\end{center}
\end{figure}
\end{frame}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{FFT Response for a Full 3D (at $45^\circ$) Ricker Wavelet}
%
% \begin{figure}[H]
% \begin{center}
% \begin{tabular}{rr}
% \mbox{\tiny top X}\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/91_97/top_structure_x_acceleration_FFT.pdf}
% &
% \mbox{\tiny top Z}\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/91_97/top_structure_z_acceleration_FFT.pdf}
% \\
% \mbox{\tiny bottom X}\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/91_97/bottom_structure_x_acceleration_FFT.pdf}
% &
% \mbox{\tiny bottom Z}\includegraphics[width=4.0truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/91_97/bottom_structure_z_acceleration_FFT.pdf}
% \end{tabular}
% %\caption{Comparison of FFT of the acceleration of the structure between
% %slipping and no-slipping models for Ricker wave}
% \label{fig:3d_ricker_fft_1000}
% \end{center}
% \end{figure}
%
%
% \end{frame}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{Gaping Response ($45^\circ$ Ricker Wavelet)}
%
% \vspace*{-0.1cm}
% \begin{tiny}
% \begin{figure}[H]
% \begin{center}
% \begin{tabular}{ccc}
% %\hline
% $4.5s$
% &
% $4.6s$
% &
% $4.7s$
% \\
% \includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/gap450.pdf}
% &
% \includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/gap460.pdf}
% &
% \includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/gap470.pdf}
% \\
% $4.8s$
% &
% $4.9s$
% &
% $5.0s$
% \\
% \includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/gap480.pdf}
% &
% \includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/gap490.pdf}
% &
% \includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/gap500.pdf}
% \\
% $5.1s$
% &
% $5.2s$
% &
% $5.3s$
% \\
% \includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/gap510.pdf}
% &
% \includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/gap520.pdf}
% &
% \includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/gap530.pdf}
% %\\
% %
% %\hline
% \end{tabular}
% %\caption{Distribution of gap openings along the contact interface for Ricker wave
% %(gray scale given in meters)}
% \label{fig:3d_ricker1000_gap_9}
% \end{center}
% \end{figure}
% \end{tiny}
%
%
%
% \end{frame}
%
%
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\begin{frame}
\frametitle{Slipping Response and Energy Dissipated ($45^\circ$ Ricker)}
\vspace*{-0.1cm}
\begin{tiny}
\begin{figure}[H]
\begin{flushleft}
\hspace*{-1cm}
\begin{tabular}{ccc}
%\hline
$4.5s$
&
$4.6s$
&
$4.7s$
\\
\includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/slide450.pdf}
&
\includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/slide460.pdf}
&
\includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/slide470.pdf}
\\
$4.8s$
&
$4.9s$
&
$5.0s$
\\
\includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/slide480.pdf}
&
\includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/slide490.pdf}
&
\includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/slide500.pdf}
\\
$5.1s$
&
$5.2s$
&
$5.3s$
\\
\includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/slide510.pdf}
&
\includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/slide520.pdf}
&
\includegraphics[width=2.3truecm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/Gap_Slide_Magnitude_91_9pieces/slide530.pdf}
%\\
%
%\hline
\end{tabular}
%\caption{Distribution of sliding along the contact interface for Ricker wave
%(gray scale given in meters)}
\label{fig:3d_ricker1000_slide_9}
\end{flushleft}
\end{figure}
\end{tiny}
\vspace*{-5cm}
\begin{figure}[!H]
\begin{flushright}
\includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/NimaTafazzoli/SSI_Contact_Element_01_13/figs/energy_sliding_92/energy_time.pdf}
\hspace*{-1cm}
\end{flushright}
\end{figure}
\end{frame}
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\section{Current Work}
%\subsection*{Summary}
\subsection*{Current Work}
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\begin{frame}
\frametitle{Current NPP Model(s)}
%
% \vspace*{-0.5cm}
% \begin{figure}[!hbpt]
% \begin{center}
% %\hspace*{-0.5cm}
% \includegraphics[width=6cm]{/home/jeremic/tex/works/Conferences/2013/NRC_Short_Course_May2013/Present/03_cropped.jpg}
% %\hspace*{-0.5cm}
% %\vspace*{-0.5cm}
% \includegraphics[width=3cm]{/home/jeremic/tex/works/Conferences/2013/NRC_Short_Course_May2013/Present/02_cropped.jpg}
% %\hspace*{-0.5cm}
% %\vspace*{-1.5cm}
% \includegraphics[width=1.5cm]{/home/jeremic/tex/works/Conferences/2013/NRC_Short_Course_May2013/Present/04_cropped.jpg}
% %\hspace*{-0.5cm}
% \end{center}
% \end{figure}
% %
%
%
\vspace*{-1.0cm}
\begin{figure}[!hbpt]
\begin{flushright}
\hspace*{2cm}
\raisebox{0.9cm}{\includegraphics[width=0.7cm]{/home/jeremic/tex/works/Conferences/2013/NRC_Short_Course_May2013/Present/04_cropped.jpg}}
\raisebox{1.2cm}{\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Conferences/2013/NRC_Short_Course_May2013/Present/02_cropped.jpg}}
\raisebox{-0.5cm}{\includegraphics[width=3cm]{/home/jeremic/tex/works/Conferences/2013/NRC_Short_Course_May2013/Present/03_cropped.jpg}}
\end{flushright}
\end{figure}
\vspace*{-3.6cm}
\begin{itemize}
% \item Modular models
%%\vspace*{-0.1cm}
\item Inclined seismic waves
%\vspace*{-0.1cm}
\item Foundation slip/no-slip
%\vspace*{-0.1cm}
\item Dynamics of impact
%\vspace*{-0.1cm}
\item Isolators, dissipators
%\vspace*{-0.1cm}
\item Piles and pile groups
%\vspace*{-0.1cm}
\item Uncorrelated (incoherent) motions
%\vspace*{-0.1cm}
\item Saturated dense vs loose soil with buoyant forces
\end{itemize}
\vspace*{-0.5cm}
\begin{figure}[!hbpt]
\begin{center}
%\raisebox{0.9cm}
\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Conferences/2013/SMiRT-22/NRC_ESSI_Simulator_current_status/Present/01.pdf}
\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Conferences/2013/SMiRT-22/NRC_ESSI_Simulator_current_status/Present/02.pdf}
\end{center}
\end{figure}
\vspace*{-2.0cm}
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\section{Summary}
\subsection*{Summary}
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\begin{frame}
\frametitle{Summary}
\begin{itemize}
\item Nonlinear Earthquake Soil/Rock Structure Interaction (ESSI) plays a
decisive role in seismic performance of NPPs
%\vspace*{0.1cm}
\item Nonlinear ESSI modeling and simulations has to be performed using
high fidelity modeling and simulation tools
%\vspace*{0.1cm}
\item High fidelity ESSI modeling and simulation tools require extensive
verification and validation
%\vspace*{0.1cm}
\item Risk informed decision making can/should only be done using such high
fidelity modeling and simulation
%\vspace*{0.1cm}
\item {\bf ESSI Simulator Program} (system),
% extensively {verified} and {validated}
is one such tool that is used for modeling, simulations, design
and regulatory decision making
%\vspace*{0.1cm}
\item {Education and training} of users (regulators, designers,
owners/applicants) proves essential
\end{itemize}
\end{frame}
%
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% \frametitle{UCD/LBNL ESSI Group Current Work}
%
% \begin{itemize}
%
%
%
% %\vspace*{0.5cm}
% \item ESSI Simulator System: continued development
% (US-NRC, US-DOE, CNSC, and INL, AREVA, Shimizu Corp., IAEA, ...)
%
% \vspace*{0.2cm}
% \item Small Modular Reactor: ESSI modeling
% and simulation, 3D
% elastic-plastic soil models for professional practice (DOE, LLNL)
%
% \vspace*{0.2cm}
% \item Stochastic ESSI Modeling: uncertain source, path,
% site and SSI (NSF, US NRC, AREVA)
%
% \vspace*{0.2cm}
% \item ESSI of base isolated NPPs (US NRC, IAEA)
%
% \vspace*{0.2cm}
% \item Verification and Validation: (US NRC, DOE, AREVA)
%
% \vspace*{0.2cm}
% \item Education (US NRC, AREVA, Shimizu Corp., etc.)
%
% \end{itemize}
%
%
% \end{frame}
% %
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\begin{frame}
\frametitle{Acknowledgement}
\begin{itemize}
% \item High fidelity
% modeling and simulations for performance assessment of infrastructure systems
\vspace*{0.1cm}
\item Funding from and collaboration with the US-NRC, CNSC, US-NSF, US-DOE,
LLNL, INL, and collaboration with AREVA NP GmbH, Shimizu Corp., etc. is
greatly appreciated,
\vspace*{0.5cm}
\item Collaborators, students:
Mr. Abell, Mr. Jeong, Mr. Aldridge. Mr. Kamranimoghadam,
Dr. Tafazzoli, Dr. Pisan{\`o}, Dr. Martinelli,
Dr. Preisig, Dr. Chang,
Prof. Sett (U. Bufallo), Prof. Taiebat (U. British Columbia), Prof. Yang (U. Alaska)
\end{itemize}
\end{frame}
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\end{document}