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

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

\usepackage{epstopdf}


% %% Jose Antonio Abell Mena provided this for DSL descriptions
% % (used in a file _Chapter_SoftwareHardware_Domain_Specific_Language_English.tex
% % This is added for listing FEI DSL
% %   since   he   customized   it,   it   needs   to   be   changed   (linked  to
% % /usr/share/texmf/tex/latex/misc)
% %\usepackage{myListings}
% \input{essi_listings_options.tex}

 
\usepackage[absolute,overlay]{textpos}


  
% for tikzpicture
\usepackage{tikz}
\usetikzlibrary{tikzmark,calc}




 
\usepackage{threeparttable}

%\usepackage{MnSymbol}%
% for smileys
\usepackage{wasysym}%
\usepackage{multirow}
% for subfloat figures:
\usepackage{subfig}
\usepackage{tabularx}
%used for truncated section title in headers
\usepackage[breakall]{truncate}
%\usepackage{caption}


\usepackage{ulem}
\usepackage{amsmath}
\usepackage{amsmath}
\usepackage{amssymb}
\newcommand\hmmax{0} % default 3
% solution from https://texfaq.org/FAQ-manymathalph
\newcommand{\bmmax}{3}
% \newcommand\bmmax{0} % default 4
\usepackage{bm}

\usepackage{IEEEtrantools}
\usepackage{setspace}
\usepackage{scalerel}


% 
% % for listing DSL
% \input{essi_listings_options.tex}
% 


%+ % for embedded videos!!
%+ % from https://www.reddit.com/r/LaTeX/comments/x2j9jr/embed_video_to_latex_beamer_presentation/?rdt=48182
%+ \usepackage{media9}
%+ 
      
\usepackage{multimedia}

% for inclusion of other PDF pages, in this case Frank's presentation
\usepackage{pdfpages}

%This is a macro to  convert eps to pdf files on the fly.
% make sure figure syntax uses graphicx syntax NOT epsfig syntax
%from http://mailman.mit.edu/pipermail/macpartners/2005-January/000780.html
%
% \ifx\pdfoutput\undefined
% % we are running LaTeX, not pdflatex
% \usepackage{graphicx}
% \else
% % we are running pdflatex, so convert .pdf files to .pdf
% \usepackage[pdftex]{graphicx}
% \usepackage{epstopdf}
% \fi
% %*****************************************


%% ovo je za cirilicu
\input vuk.def
\newfont{\cyr}{wncyr10 scaled 1000 }
\newfont{\cyb}{wncyb10 scaled 1000 }
\newfont{\cyi}{wncyi10 scaled 1000 }
\newfont{\cysc}{wncysc10 scaled 1000 }
\newfont{\cyss}{wncyss10 scaled 1200 }
\newfont{\romjba}{cmss10 scaled 1000}
\newfont{\cyrjbnaslov}{wncyss10 scaled 1200 }



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

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% FEI  LOGO definition
\newcommand{\FEI}
{{\sf \uppercase{F}\kern-0.20em\uppercase{E}\kern-0.20em\uppercase{I}}}

% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % ovo je za cirilicu
% % \input vuk.def
% % %\newfont{\cyr}{wncyr10 scaled 1200}
% % %\newfont{\cyrimena}{wncyb10 scaled 1800}
% % %\newfont{\cyrnaslov}{wncyb10 scaled 2600}
% % %\newfont{\cyrpodnaslov}{wncyr10 scaled 1400}
%
% \newfont{\cyr}{wncyss10 scaled 1200}
% \newfont{\cyrimena}{wncyss10 scaled 2000}
% \newfont{\cyrnaslov}{wncyss10 scaled 2800}
% \newfont{\cyrpodnaslov}{wncyss10 scaled 1400}
%
% \newfont{\cyn}{wncyss10 scaled 2200}
% %% JB sig
% \newfont{\cyrjb}{wncyr10 scaled 600}
% \newcommand{\JB}
% {{\cyrjb \lower0.50ex\hbox{\uppercase{J}}\kern-.58em\hbox{\uppercase{B}}}}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


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

% or ...

  \setbeamercovered{transparent}


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

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


\usepackage[greek,english]{babel}



\usepackage{amsmath}
\usepackage{mathrsfs}
\usepackage{amsfonts}

\newcommand{\ud}{{\rm d}}


\usepackage{array}



%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
%%%%  HYPERREF  HYPERREF  HYPERREF  HYPERREF  HYPERREF
\definecolor{webgreen}{rgb}{0, 0.35, 0} % less intense green
\definecolor{webblue}{rgb}{0, 0, 0.50} % less intense blue
\definecolor{webred}{rgb}{0.35, 0, 0} % less intense red
%\usepackage[colorlinks=true,linkcolor=webblue,citecolor=webred,urlcolor=webgreen]{hyperref}


\usepackage{hyperref}
\hypersetup{
  pdfmenubar=true,
  pdftoolbar=true,
  pdfpagemode={None}
             colorlinks=true,
             linkcolor=webblue,
             citecolor=webblue,
             urlcolor=webblue,
}
% \usepackage[pdfauthor={Boris Jeremic},
%             colorlinks=true,
%             linkcolor=webblue,
%             citecolor=webblue,
%             urlcolor=webblue,
%             linktocpage,
%             pdftex]{hyperref}


\usepackage{pause}
% or whatever
%\usepackage{html}
%\usepackage{url}

\usepackage[latin1]{inputenc}
% or whatever
\usepackage{times}
\usepackage[T1]{fontenc}
% Or whatever. Note that the encoding and the font should match. If T1
% does not look nice, try deleting the line with the fontenc.



%      Site Specific Dynamics of Structures: 
%From Seismic Source to 
%the Safety of Occupants and Content


\title[Seismic Shielding of NPPs]
        {Seismic Shielding of NPPs} 


%\subtitle
%{Include Only If Paper Has a Subtitle}

%\author[Author, Another] % (optional, use only with lots of authors)
%{F.~Author\inst{1} \and S.~Another\inst{2}}
% - Give the names in the same order as the appear in the paper.
% - Use the \inst{?} command only if the authors have different
%   affiliation.
\pgfdeclareimage[height=0.2cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_blue_sm}
\pgfdeclareimage[height=0.7cm]{lbnl-logo}{/home/jeremic/BG/amblemi/lbnl-logo}


%\author[Jeremi{\'c} et al.] % (optional, use only with lots of authors)
%\author[Jeremi{\'c} et al.] % (optional, use only with lots of authors)
\author[Jeremi{\'c} et al.] % (optional, use only with lots of authors)
%{Boris~Jeremi{\'c}}
{Boris Jeremi{\'c}
\\ ~ \\
H.Yang, H.Wang, K.Sett, S.Sinha, K.Watanabe, Z.Cheng, F.Pisan{\`o}, J.Abell, K.Kanellopoulos, K.Staszewska
\\ ~ \\
\vspace*{3mm}
}
%\\
%{\cyss Boris Jeremi\cj{}}
% }
% \\ 
%Han Yang, Hexiang Wang, Sumeet Kumar Sinha }


%\institute[Computational Geomechanics Group \hspace*{0.3truecm}
%\institute[\pgfuseimage{university-logo}\hspace*{0.1truecm}\pgfuseimage{lbnl-logo}] % (optional, but mostly needed)
\institute[\pgfuseimage{university-logo}] % (optional, but mostly needed)
%{ Professor, University of California, Davis\\
%{ University of California, Davis, CA, USA
{University of California, Davis}
% %  and\\
% %  Faculty Scientist, Lawrence Berkeley National Laboratory, Berkeley }
%   Lawrence Berkeley National Laboratory, Berkeley, CA}
% % - 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 $5^{th}$ SEECCM
{SMiRT28 \\
Toronto ON \\ 
Aug2025}


% \newfont{\cyr}{wncyr10 scaled 1000 }
% \newfont{\cyb}{wncyb10 scaled 1000 }
% \newfont{\cyi}{wncyi10 scaled 1000 }
% \newfont{\cysc}{wncysc10 scaled 1000 }
% \newfont{\cyss}{wncyss10 scaled 1200 }
% \newfont{\romjba}{cmss10 scaled 1000}
% \newfont{\cyrjbnaslov}{wncyss10 scaled 1200 }


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



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

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

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


% % Delete this, if you do not want the table of contents to pop up at
% % the beginning of each subsection:
% % \AtBeginSubsection[]
% %    \setcounter{tocdepth}{2}
%     \setcounter{tocdepth}{1}
% % \AtBeginSubsection[]
%  \AtBeginSection[]
%  {
%    \begin{scriptsize}
%    \begin{frame}<beamer>
%      \frametitle{Outline}
% %     \tableofcontents[currentsection,currentsubsection]
%     \tableofcontents[currentsection]
%    \end{frame}
%    \end{scriptsize}
%  }
% 
% 


% % Delete this, if you do not want the table of contents to pop up at
% % the beginning of each subsection:
% % \AtBeginSubsection[]
% \setcounter{tocdepth}{3}
%  \AtBeginSubsection[]
% % \AtBeginSection[]
%  {
%    \begin{scriptsize}
%    \begin{frame}<beamer>
%      \frametitle{Outline}
%      \tableofcontents[currentsection,currentsubsection]
% %    \tableofcontents[currentsection]
%    \end{frame}
%    \end{scriptsize}
%  }


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





\begin{document}

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

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

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

\begin{frame}
  \frametitle{Outline}

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

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

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

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

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



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


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




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

% % %\subsection{Motivation}
% \subsection{\ }



%%%%%%%%%%%%%%%%%%%%%%%%%%%%dir
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%





 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Motivation}

\begin{itemize}



 
\vspace*{1mm}
  \item[-] Safety and economy of nuclear energy facilities (NEF)

%\vspace*{0.3cm}
 
%\vspace*{2mm}
%  \item[]  Improve  analysis of infrastructure objects
 
 
%  %\vspace*{1mm}
%  %  \item[-]  Analysis of Earthquakes and/or Soils and/or Structures and their Interaction
%  %  \item[-]  Analysis of Earthquakes, Soils, Structures and their Interaction
%  %  \item[-]  Soils, Structures and their Interaction, statics and dynamics
%    \item[-]  Soils, Structures, statics and dynamics
 

% \vspace*{1mm}
%  \item[]  Expert numerical modeling and simulation tool
% 
% \vspace*{1mm}
%   \item[]      Use of numerical models to
%   analyze statics and dynamics of soil/rock-structure systems
% 


%  
%  %\vspace*{1mm}
%    \item[-] Analysis to  predict and inform 
%  % rather than (force) fit


%\vspace*{1mm}
%  \item[-] Design, build and maintain sustainable objects
\vspace*{4mm}
  \item[-] Design, build and maintain sustainable NEFs


    
\vspace*{4mm}
  \item[-] Responsible engineer, expert with executive powers 

%\vspace*{1mm}
% \item[] Engineer with executive powers


%\vspace*{2mm}
\vspace*{4mm}
  \item[-] Engineer with versatile, quality assured analysis tool to

  \begin{itemize}
\vspace*{1mm}
%  \item[-] Explore various design concepts
  \item[-] Explore NEF design concepts

\vspace*{1mm}
  \item[-] Assess NEF  performance 

  \end{itemize}


% \vspace*{2mm}
%   \item[-]  Choice of analysis/modeling level of sophistication
% 
% \vspace*{1mm}
%   \item[] Modeling simplifications, Epistemic uncertainty
% 
% \vspace*{1mm}
%   \item[] Variable, random material and loads, Aleatory  uncertainty
% 



\vspace*{4mm}
  \item[-] Engineering analysis to predict and inform



% 
%  
%  
%  \vspace*{1mm}
%  \begin{figure}[!hbpt]
%  \begin{center}
%  %
%  %\hspace*{-7mm}
%  %\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Conferences/2021/CU-Boulder-GEGM-seminar-series-02Apr2021/present/Saint_Sophia_Constantinopolis.jpg}
%  %\hspace*{1mm}
%  \includegraphics[height=1.2truecm]{/home/jeremic/tex/works/Conferences/2023/5_SEECCM_Vrnjacka_Banja_5-6Jul2023/present/Parthenon_on_Acropolis_June2023.jpg}
%  %\hspace*{2mm}
%  \hspace*{2mm}
%  \includegraphics[height=1.2truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/Aya-Sofia_03_1990.jpg}
%  %\hspace*{2mm}
%  \hspace*{2mm}
%  \includegraphics[height=1.2truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/ZhaozhouBridge.jpg}
%  \hspace*{2mm}
%  %\hspace*{2mm}
%  \includegraphics[height=1.2truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/Four_Water_Wheels_Hama_Syria.jpg}
%  \hspace*{2mm}
%  %\hspace*{2mm}
%  \includegraphics[height=1.2truecm]{/home/jeremic/tex/works/Conferences/2023/5_SEECCM_Vrnjacka_Banja_5-6Jul2023/present/Eiffel_tower_design_drawings/Eiffel_tower_02.jpg}
%  %
%  %\vspace*{3mm}
%  \end{center}
%  \end{figure}
%  %\vspace*{3mm}
%  
%  %\vspace*{1mm}
%  \begin{figure}[!hbpt]
%  \begin{center}
%  %
%  %\hspace*{-7mm}
%  %\includegraphics[width=5.0truecm]{/home/jeremic/tex/works/Conferences/2021/CU-Boulder-GEGM-seminar-series-02Apr2021/present/Saint_Sophia_Constantinopolis.jpg}
%  %\includegraphics[height=1.8truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/Aya-Sofia_03_1990.jpg}
%  %\hspace*{2mm}
%  \includegraphics[height=3.5truecm]{/home/jeremic/tex/works/Conferences/2023/5_SEECCM_Vrnjacka_Banja_5-6Jul2023/present/Eiffel_tower_design_drawings/Eiffel_tower_force_diagram_shape.jpg}
%  \hspace*{4mm}
%  \includegraphics[height=3.5truecm]{/home/jeremic/tex/works/Conferences/2023/5_SEECCM_Vrnjacka_Banja_5-6Jul2023/present/Eiffel_tower_design_drawings/Eiffel_tower_foundation.jpg}
%  %\hspace*{2mm}
%  %
%  %\vspace*{3mm}
%  \vspace*{-2mm}
%  \end{center}
%  \end{figure}
%  %\vspace*{3mm}



%
%
%
%  \vspace*{1mm}
%    \item[]  Follow  the  flow, input and dissipation,  of seismic  energy,

%  \vspace*{2mm}
%    \item[]
%  %System  for
%   {\bf Real}istic modeling and simulation of
%    {\bf E}arthquakes and/or
%    {\bf S}oils and/or
%    {\bf S}tructures    and    their
%    {\bf I}nteraction:\\
%     Real-ESSI
%   \hspace*{5mm}
%    \url{http://real-essi.us/}
%  % % %  \hspace*{25mm}
%  %     \url{http://sokocalo.engr.ucdavis.edu/~jeremic/Real_ESSI_Simulator/}
%  % %    \href{http://sokocalo.engr.ucdavis.edu/~jeremic/Real_ESSI_Simulator/}{{http://sokocalo.engr.ucdavis.edu/~jeremic/Real_ESSI_Simulator/}
%  % %  % \url{http://ms-essi.us/}
%  % %
%


%
%  
%  
%  \vspace*{1mm}
%    \item[]  Follow  the  flow, input and dissipation,  of seismic  energy, 

%  \vspace*{2mm}
%    \item[]  
%  %System  for 
%   {\bf Real}istic modeling and simulation of
%    {\bf E}arthquakes and/or    
%    {\bf S}oils and/or    
%    {\bf S}tructures    and    their    
%    {\bf I}nteraction:\\
%     Real-ESSI 
%   \hspace*{5mm} 
%    \url{http://real-essi.info/} 
%  % % %  \hspace*{25mm} 
%  %     \url{http://sokocalo.engr.ucdavis.edu/~jeremic/Real_ESSI_Simulator/}
%  % %    \href{http://sokocalo.engr.ucdavis.edu/~jeremic/Real_ESSI_Simulator/}{{http://sokocalo.engr.ucdavis.edu/~jeremic/Real_ESSI_Simulator/}
%  % %  % \url{http://ms-essi.info/}
%  % %  
% 




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














  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Hypothesis: Mechanics of Success and Failure}

\begin{itemize}

\vspace*{5mm}


%\vspace*{0.5cm}
  \item[-]   \textbf{Time Domain Interplay}    of  the 
  Earthquake--Soil--Structure Interaction, governs the overall performance --
  both successes and failures [Gazetas...]


\vspace*{3mm}
  \item[-]  The \textbf{ Timing  and Spatial Distribution of Energy Dissipation}
  determines where, when and how damage occurs within the NEF system

\vspace*{3mm}
  \item[-]  If timing and location of the energy dissipation
         could be \textbf{controlled and directed},
         the NEF SSI system could be optimized for:
    \begin{itemize}
      \item[-]  \textbf{Safety} --- limiting damage
      \item[-] \textbf{Economy} --- focusing resources on critical components
    \end{itemize}

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







 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
%\frametitle{ESSI Challenges}
\frametitle{Increase Resilience of NEF SSI Systems}
           

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




\vspace*{5mm}

\begin{itemize}

%\vspace*{-2mm}
  \item[1.]  
%  MCDEEP   
Plasticity of soil, \\
structure, and the \\
  soil-foundation interface
%\citep{Jeremic2009b,Jeremic2020},

%\vspace*{-2mm}
  \item[2.]   
%  MCDEEP 
  Energy  dissipators, \\
  energy sinks
%, within structure, 
%  for example buckling restrained braces (BRBs), frictional pendulum,
%  lead core elastomers,  
%  etc.
%\citep{Symans2008,Nucera2007,Jeremic2020}, 
%  and/or
%  other nonlinear energy sinks

%\vspace*{-2mm}
  \item[3.] 
%  MCDEEP 
Viscous dampers and \\
viscous coupling
% between   fluid and structure
%\cite{Symans1998,Symans2008,Roh2010},

%\vspace*{-2mm}
  \item[4.]  
%   MCDEEP 
External   trenches  
%\\ surrounding the
%  structure
%%\citep{Woods1968,Bolt1981},

%\vspace*{-2mm}
   \item[5.]  
%   MCDEEP 
Meta-materials, \\
meta-devices
%, for example resonant unit cells, 
%   negative stiffness meta-materials, etc., adjacent to or within the
%   structure
%\citep{Kanellopoulos2020, Chondrogiannis2021},

\end{itemize}
%


%
\vspace*{-50mm}
\begin{figure}[!htb]
\begin{flushright}
% % %\includegraphics[width=5cm]{Figure-files/_Chapter_Applications_ESSI_BOOK/Building_modeling_Issues_01_pdf.pdf}
% %\vspace*{-3mm}
% \includegraphics[width=2.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_BOOK/Seismic_Motions_modeling_Issues_01_pdf.pdf}
% \includegraphics[width=5.5cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_BOOK/Seismic_Motions_modeling_Issues_02_pdf.pdf}
% \\
%\vspace*{-2mm}
%\vspace*{-8mm}
%\vspace*{-2mm}
%\hspace*{-15mm}
\includegraphics[width=7cm]{/home/jeremic/tex/works/Proposals/2022/DOE_NSRD_program_FY22/Energy_Balance/proposal/figures/seismic_shielding_NPP_01.pdf}
%\includegraphics[width=7cm]{/home/jeremic/tex/works/Proposals/2025/NRC_NOFO_Due_31Jan2025/proposal/figures/seismic_shielding_building.pdf}
%\hspace*{-5mm}
%\vspace*{-5mm}
\hspace*{-10mm}
\end{flushright}
%\vspace*{-5mm}
\end{figure}


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
















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



% 
























%              
%  


















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



% 























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







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







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


 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
      
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%y%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Engineering Analysis Methods and Tools}
\section{Seismic Energy}


      
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \subsection{Real-ESSI }
%\subsection{\ }
% \subsection{Energy Dissipation}

% 

%  
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% \begin{frame}
%  \frametitle{FEM for ESSI Analysis}
% % \frametitle{Finite Element Method}
% 
% 
% \begin{itemize}
% 
%       
% 
% %  \vspace*{2mm}
% %   \item[-] Virtual displacements cannot be zero, they cancel out
% %  
% %  \vspace*{2mm}
% % \item[-] Single Phase FEM
%  \item[-] Single Phase FEM:
% \hspace*{2mm}
% % \\
% %Final FEM equations:
% %Single phase FEM
% $
% M_{AacB} \; \Delta  \ddot{\bar{u}}_{Bc}
% +
% K^{EP}_{AacB}   \; \Delta  \bar{u}_{Bc}
% =
%  \Delta F_{Aa}
% $
% %\\ \nonumber
% %A,B &=& 1,2,\dots,\mbox{\# of nodes}
% %\\ \nonumber
% %a,c &=& 1,\dots,\mbox{\# of dimensions (1, 2 or 3)}
% 
% 
% %  \vspace*{2mm}
%   \vspace*{4mm}
%  \item[-] Two phase FEM, u-p-U:
% {\footnotesize
% % \hspace*{-25mm}
% \begin{eqnarray}
%  \hspace*{-15mm}
% \left[ \begin{array}{ccc}
% (M_s)_{KijL} & 0 & 0 \\
%  0  & 0 & 0 \\
%  0  & 0 & (M_f)_{KijL}
% \end{array} \right]
% \left[ \begin{array}{c}
%  \Delta \ddot{\overline{u}}_{Lj} \\
%  \Delta \ddot{\overline{p}}_N \\
%  \Delta \ddot{\overline{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}
%  \Delta \dot{\overline{u}}_{Lj} \\
%  \Delta \dot{\overline{p}}_N \\
%  \Delta \dot{\overline{U}}_{Lj}
% \end{array} \right]
% \nonumber \\
% +
% \left[ \begin{array}{ccc}
% (K^{EP})_{KijL} & -(G_1)_{KiM} & 0 \\
% -(G_1)_{LjM}  & -P_{MN} & -(G_2)_{LjM} \\
%  0  & -(G_2)_{KiL} & 0
% \end{array} \right]
% \left[ \begin{array}{c}
%  \Delta \overline{u}_{Lj} \\
%  \Delta \overline{p}_M \\
%  \Delta \overline{U}_{Lj}
% \end{array} \right]
% =
% \left[ \begin{array}{c}
%  \Delta \overline{f}_{Ki}^{solid} \\
% 0  \\
%  \Delta \overline{f}_{Ki}^{fluid}
% \end{array} \right]
% \nonumber
% \end{eqnarray}
% }
% %
% 
% %\vspace*{4mm}
% %  \item[-] Nonlinear FEM residuals, equilibrium:
%  \vspace*{4mm}
%   \item[-] Equilibrium:
% \hspace*{2mm}
% %  \\
% $ \Delta R =  \Delta F_{external} -  \Delta F_{internal}  \approx 0  $ 
% 
% %$
% %R_{Q} = 
% %F_{Q}   -
% %\left(
% %M_{PQ}   \; \ddot{\bar{u}}_{P}
% %+
% %K_{PQ}   \; \bar{u}_{P}
% %\right)
% %$
% 
% 
% \end{itemize}
% 
% 
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Energy Input and Dissipation in ESSI System}

\begin{itemize}

\vspace*{1mm}
     \item[] Energy input, forces/loads, static/dynamic


\vspace*{4mm}
     \item[] Energy dissipation outside SSI domain:
       \begin{itemize}
         \item[] SSI system oscillation radiation
         \item[] Reflected waves radiation
       \end{itemize}
\vspace*{2mm}
     \item[] Energy dissipation/conversion inside SSI domain:
       \begin{itemize}
\vspace*{1mm}
         \item[] Inelasticity of soil, interfaces, structure, dissipators
\vspace*{1mm}
         \item[] Viscous coupling with internal/pore and external fluids
% %         \item[] potential and kinetic energy
%          \item[] potential $\leftarrow \! \! \! \! \! \! \rightarrow$ kinetic energy
\vspace*{1mm}
         \item[] Energy deflectors, meta-materials/devices
       \end{itemize}                           



\vspace*{2mm}
%\vspace*{1mm}
%   \item[] Numerical energy dissipation (numerical damping/production and period  errors)
%   \item[] Numerical energy dissipation (damping/production)
   \item[] Numerical energy dissipation/production


\end{itemize}

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


% 




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

\begin{frame}
\frametitle{Seismic Energy Flow in ESSI System}

\begin{itemize}



\vspace*{2mm}
     \item[-]  Kinetic  energy  flux/input  through SSI/DRM boundary:
% includes both incoming      and outgoing waves (DRM)
%\begin{eqnarray*}
$
E_{flux} = 
\left[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 \right]_i
%
% \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]^{T}
\times u_i
%\left[
%\begin{array}{c} 
%0 \\ 
%{u}_b\\ 
%{u}_e
%\end{array}
%\right]
$
%\end{eqnarray*}



\vspace*{2mm}
\item[-] 
%Increment of 
Plastic energy dissipation:
%$\Phi =  \sigma_{ij} \dot{\epsilon}_{ij} - \sigma_{ij} \dot{\epsilon}_{ij}^{el} - \rho \dot{\psi}_{pl} \ge 0$
$\Delta  \Phi =  \sigma_{ij} \Delta {\epsilon}_{ij} - 
          \sigma_{ij} \Delta {\epsilon}_{ij}^{el} - 
%          \rho 
          \Delta {\psi}_{pl} \ge 0$
 

% %Following  the first and second laws of thermodynamics, the equation for plastic
% %energy  dissipation  in  decoupled  material models was presented by 
% %%\citeN7{Yang2017a}:
% %
% \begin{equation}
% \Phi =  \sigma_{ij} \dot{\epsilon}_{ij} - \sigma_{ij} \dot{\epsilon}_{ij}^{el} - \rho \dot{\psi}_{pl} \ge 0
% \label{equation_plastic_dissipation_final}
% \end{equation}
% %
% where  $\Phi$  is  the  rate  of  plastic  energy  dissipation  per unit volume,
% $\sigma_{ij}$  is  the stress  tensor,  $\epsilon_{ij}$  is  the strain tensor,
% $\epsilon_{ij}^{el}$  is  the  elastic  part of the strain tensor, $\rho$ is the
% mass  density of the material, ${\psi}_{pl}$ is the plastic free energy per unit
% volume.  
%






\vspace*{2mm}
\item[-] 
%Increment of 
Viscous energy dissipation/damping: \\
%dissipation $\Delta {D}_V$,  
$\Delta {D}_V =  C_{ij} \dot{u}_j \Delta {u}_i $

% 
% To  compute  the  energy  dissipation  due to viscous damping, we start with the
% general form of the equation of motion:
% %
% \begin{equation}
% M_{ij} \ddot{u}_j(t) + C_{ij} \dot{u}_j(t) + K_{ij}^{elpl}(t) u_j(t) = f_i(t)
% \label{equation_of_motion}
% \end{equation}
% %
% where  $u_j(t)$ is the vector of generalized displacements, $M_{ij}$ is the mass
% matrix,   $C_{ij}$   is   the   damping   matrix,   $K_{ij}^{elpl}(t)$   is  the
% inelastic  stiffness  matrix that generally evolves with time, $f_i(t)$ is
% the external load vector.
% %
% For linear viscous damping of the Rayleigh type, the damping matrix is
% expressed as
% %
% \begin{equation}
% C_{ij} = a_M M_{ij} + a_{K} K_{ij}^{el}
% \label{equation_damping_matrix}
% \end{equation}
% %
% where  $a_M$  and  $a_{K}$  are  damping constants with units of s$^{-1}$ and s,
% respectively.
% %
% 
%     
% %
% The incremental form of energy balance for a dynamic system with viscous damping can be expressed as
% %
% \begin{equation}
% \Delta {W}_{Input} = \Delta {E}_K + \Delta {D}_V + \Delta {W}_M
% \label{equation_energy_balance}
% \end{equation}
% %
% The left hand side of Equation~\ref{equation_energy_balance}  is the
% increment of external input work
% %
% \begin{equation}
% \Delta {W}_{Input}=  f_i \Delta {u}_i
% \label{equation_energy_balance_W_Input}
% \end{equation}
%
%
% %%
% The three terms on the right hand side of Equation~\ref{equation_energy_balance} are
% the  increment of kinetic energy $\Delta {E}_K$, the increment of viscous energy 
% dissipation $\Delta {D}_V$, and the increment of material work of the system $\Delta {W}_M$
% %
% \begin{equation}
% \begin{aligned}
% \Delta {E}_K &= M_{ij} \ddot{u}_j \Delta u_i \\
% \Delta {D}_V &=  C_{ij} \dot{u}_j \Delta {u}_i \\
% \Delta {W}_M &= K_{ij}^{elpl} {u}_j \Delta {u}_i = \Delta {E}_S + \Delta {E}_P + \Delta {D}_P
% \end{aligned}
% \label{equation_energy_balance_components}
% \end{equation}
% %
% Note  that  the term of material work $W_M$ can be separated into an elastic part
% and  a  plastic  part.
% These two components are known as  the elastic strain energy $E_S$ and the plastic
% work of the system, respectively.
% %
% Then,  as  mentioned  in  the  previous  section,  plastic  work can be further
% decomposed into plastic free energy $E_P$ and plastic energy dissipation $D_P$.


\vspace*{2mm}
\item[-] 
Algorithmic, numerical energy dissipation/production:
\\
 Newmark, Hilber-Hughes-Taylor, Houbolt, Bathe, Wilson...


%     


\end{itemize}






\end{frame}


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


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

\frametitle{Energy Dissipation Control}

\vspace*{3mm}
\begin{figure}[!H]
%\hspace*{-10mm}
%     \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_a.pdf}
%     \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_b.pdf}
     \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_g.pdf}
%     \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_e.pdf}
\end{figure}




\end{frame}

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


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 
\frametitle{Plastic Energy Dissipation}


\vspace*{2mm}
 
% Single elastic-plastic element under cyclic shear loading
 
\begin{itemize}
\item[] Plastic work is NOT plastic dissipation (GI Taylor, '25,'34) 
\item[] Surface area of $F-\Delta$, $\sigma-\epsilon$ is NOT plastic dissipation 
% \item[] Plastic dissipation always increases
\end{itemize}
 
%\vspace*{-7mm}
\begin{figure}[!hbpt]
\begin{center}
\hspace*{-5mm}
\includegraphics[width=11.0truecm]{/home/jeremic/tex/works/Thesis/HanYang/Files_06June2017/DOE_Annual_2017/Figures/Dissipation_Material.png}
\end{center}
\end{figure}
  
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



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


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



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{6C vs 1C Motions, Seismic Energy Input }



 


%+ \begin{center}
%+ %
%+ \hspace*{-5mm}
%+  \includemedia[
%+     width=5.5cm,height=0.40\linewidth,
%+ %    width=0.6\linewidth,height=0.6\linewidth,
%+     activate=pageopen,
%+     transparent,
%+ %    addresource=free_field_frequency.mp4,    
%+    addresource=/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_3d.mp4,
%+ %    sample-video.mp4,
%+     flashvars={
%+ % same path as in addresource!
%+ %      source=free_field_frequency.mp4
%+       source=/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_3d.mp4
%+      &loop=true           % loop video
%+      &scaleMode=letterbox % preserve aspect ratio
%+     }
%+   ]
%+ {}{VPlayer.swf}
%+ %
%+  \includemedia[
%+     width=5.5cm,height=0.40\linewidth,
%+ %    width=0.6\linewidth,height=0.6\linewidth,
%+     activate=pageopen,
%+     transparent,
%+ %    addresource=free_field_frequency.mp4,    
%+    addresource=/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_1d.mp4,
%+ %    sample-video.mp4,
%+     flashvars={
%+ % same path as in addresource!
%+ %      source=free_field_frequency.mp4
%+       source=/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_1d.mp4
%+      &loop=true           % loop video
%+      &scaleMode=letterbox % preserve aspect ratio
%+     }
%+   ]
%+ {}{VPlayer.swf}
%+ %
%+ \hspace*{-5mm}
%+ \end{center}
%+ 
%+ 

    
% local
%\vspace*{-2mm}
\begin{center}
\hspace*{-16mm}
%\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
\movie[label=show3,width=61mm,poster, showcontrols]
  {\includegraphics[width=60mm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_NPPs/movie_ff_3d_mp4_icon.jpeg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_3d.mp4}
% \hspace*{-16mm}
% \end{center}
% %  
% %
% %
% \begin{center}
% \hspace*{-16mm}
\movie[label=show3,width=61mm,poster, showcontrols]
  {\includegraphics[width=60mm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_for_NPPs/movie_ff_1d_mp4_icon.jpeg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_1d.mp4}
\hspace*{-16mm}
\end{center}
%

\begin{flushleft}
%\vspace*{-15mm}
\href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_3d.mp4}
%  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
  {\tiny (MP4)}
%
\hspace*{55mm}
\href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Model01_ESSI_Response_May2015/movie_ff_1d.mp4}
%  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
  {\tiny (MP4)}
\end{flushleft}
%



% online
% online  \begin{center}
% online  \href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_3d.mp4}
% online    {\includegraphics[width=50mm]{movie_ff_3d_mp4_icon.jpeg}}
% online  %
% online  \href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/ESSI_VisIt_movies_Jose_19May2015/movie_ff_1d.mp4}
% online    {\includegraphics[width=50mm]{movie_ff_1d_mp4_icon.jpeg}}
% online  \end{center}
% online



%


\end{frame}





%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % 
% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % 
% \begin{frame}
% \frametitle{ASCE-7-21, Steel Building Seismic Shielding}
% 
% 
% % \vspace*{-5mm}
% \begin{center}
% % \hspace*{-15mm}
% %\movie[label=show3,width=10cm,poster,autostart,showcontrols]
% \movie[label=show3,width=10cm,poster,showcontrols]
% {\includegraphics[width=10cm]
% {/home/jeremic/tex/works/Thesis/HanYang/ASCE-7-21_low_building_energy_dissipation/ATC_Short_Building_PD.jpg}}
% {/home/jeremic/tex/works/Thesis/HanYang/ASCE-7-21_low_building_energy_dissipation/ATC_Short_Building_PD.mp4}
% \end{center}
%         
% % online   
% \vspace*{-12mm}
% \begin{flushleft}
% \hspace*{-4mm}
% \href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Energy_dissipation_frames/ATC_Short_Building_PD.mp4}
%   {\tiny (MP4)}
% \end{flushleft}
% % online  
%    
% 
% 
% 
% %+ \begin{center}
% %+ 
% %+  \includemedia[
% %+     width=10cm,height=0.60\linewidth,
% %+ %    width=0.6\linewidth,height=0.6\linewidth,
% %+     activate=pageopen,
% %+     transparent,
% %+ %    addresource=free_field_frequency.mp4,    
% %+ %   addresource=/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input.mp4,
% %+    addresource=/home/jeremic/tex/works/Thesis/HanYang/ASCE-7-21_low_building_energy_dissipation/ATC_Short_Building_PD.mp4,
% %+ %   addresource=/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4,
% %+ %    sample-video.mp4,
% %+     flashvars={
% %+ % same path as in addresource!
% %+ %      source=free_field_frequency.mp4
% %+       source=/home/jeremic/tex/works/Thesis/HanYang/ASCE-7-21_low_building_energy_dissipation/ATC_Short_Building_PD.mp4
% %+ %      source=/animfile{}
% %+ %      source=/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4
% %+      &loop=true           % loop video
% %+      &scaleMode=letterbox % preserve aspect ratio
% %+     }
% %+   ]{}{VPlayer.swf}
% %+ 
% %+ \end{center}
% %+ 
% 
% 
% \end{frame}
% %\vspace*{10mm}  
% 
%      
% 
% %  
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
% 
% \frametitle{Buckling Restrained Braces (BRB) Energy Dissipation}
% 
% 
% %\vspace*{3mm}
% 
% \begin{flushleft}
% \begin{figure}[!H]
% \hspace*{-20mm}
% %\hspace*{-10mm}
%      \includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2023/CIVIL-COMP-28-31Aug2023/present/ASCE-7-Steel-building-BRB_BRB_elements.jpg}
% \hspace*{50mm}
% \end{figure}
% \end{flushleft}
% 
% \vspace*{-12mm}
% \begin{flushright}
% \begin{figure}[!H]
% \hspace*{42mm}
%      \includegraphics[width=7.5cm]{/home/jeremic/tex/works/Conferences/2023/CIVIL-COMP-28-31Aug2023/present/from_Han_24Aug2023/Plastic_Dissipation_Density_Time_History.jpg}
% \end{figure}
% \end{flushright}
% 
% 
% 
% 
% \end{frame}
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 
% 
% 














%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Energy Dissipation for Design}


\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=10.0truecm]{/home/jeremic/tex/works/Thesis/HanYang/Frame_animations_13Mar2019/2D_Frame_Model.pdf}
\end{center}
\end{figure}


\end{frame}






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


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Design Alternatives}


\vspace*{15mm}

% local
%\vspace*{-2mm}
\begin{center}
\hspace*{-16mm}
%\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
\movie[label=show3,width=61mm,poster, showcontrols]
  {\includegraphics[width=60mm]{/home/jeremic/tex/works/Thesis/HanYang/Frame_animations_13Mar2019/Individual_Foundation_screen_grab.jpg}}
  {/home/jeremic/tex/works/Thesis/HanYang/Frame_animations_13Mar2019/Individual_Foundation.mp4}
%\hspace*{-2mm}
%\hfill
%\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
\movie[label=show3,width=61mm,poster, showcontrols]
  {\includegraphics[width=61mm]{/home/jeremic/tex/works/Thesis/HanYang/Frame_animations_13Mar2019/Continuous_Foundation_screen_grab.jpg}}
  {/home/jeremic/tex/works/Thesis/HanYang/Frame_animations_13Mar2019/Continuous_Foundation.mp4}
\hspace*{-16mm}
\end{center}
% local


% online
\begin{center}
\href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Energy_dissipation_frames/Individual_Foundation.mp4}
{\tiny (MP4)}
%
\hspace*{40mm}
%
\href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Energy_dissipation_frames/Continuous_Foundation.mp4}
 {\tiny (MP4)}
\end{center}
% online



%+ \hspace*{-7mm}
%+ \begin{center}
%+ %
%+ \hspace*{-7mm}
%+  \includemedia[
%+     width=5.6cm,height=0.36\linewidth,
%+ %    width=0.6\linewidth,height=0.6\linewidth,
%+     activate=pageopen,
%+     transparent,
%+ %    addresource=free_field_frequency.mp4,    
%+    addresource=/home/jeremic/tex/works/Thesis/HanYang/Frame_animations_13Mar2019/Individual_Foundation.mp4,
%+ %    sample-video.mp4,
%+     flashvars={
%+ % same path as in addresource!
%+ %      source=free_field_frequency.mp4
%+       source=/home/jeremic/tex/works/Thesis/HanYang/Frame_animations_13Mar2019/Individual_Foundation.mp4
%+      &loop=true           % loop video
%+      &scaleMode=letterbox % preserve aspect ratio
%+     }
%+   ]
%+ {}{VPlayer.swf}
%+ %
%+  \includemedia[
%+     width=5.6cm,height=0.36\linewidth,
%+ %    width=0.6\linewidth,height=0.6\linewidth,
%+     activate=pageopen,
%+     transparent,
%+ %    addresource=free_field_frequency.mp4,    
%+    addresource=/home/jeremic/tex/works/Thesis/HanYang/Frame_animations_13Mar2019/Continuous_Foundation.mp4,
%+ %    sample-video.mp4,
%+     flashvars={
%+ % same path as in addresource!
%+ %      source=free_field_frequency.mp4
%+       source=/home/jeremic/tex/works/Thesis/HanYang/Frame_animations_13Mar2019/Continuous_Foundation.mp4
%+      &loop=true           % loop video
%+      &scaleMode=letterbox % preserve aspect ratio
%+     }
%+   ]
%+ {}{VPlayer.swf}
%+ %
%+ \hspace*{-7mm}
%+ \end{center}
%+ \hspace*{-7mm}
%+ 
%+ 

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

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %\begin{frame}
% %
% %\frametitle{Energy Dissipation Control}
% %
% %\begin{figure}[!H]
% %%\hspace*{-10mm}
% %%     \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_a.pdf}
% %%     \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_b.pdf}
% %     \includegraphics[width=9cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_g.pdf}
% %%     \includegraphics[width=3cm]{/home/jeremic/tex/works/Thesis/HanYang/Files_Energy_dissipation_01Dec2017/case_e.pdf}
% %\end{figure}
% %
% %
% %
% %
% %\end{frame}
% %
% % 
% %       

% 


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

\frametitle{NPP SSI System, Energy Dissipation}

% Elastoplastic soil with contact elements
%% Both solid and contact elements dissipate energy

% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=10cm,poster,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/tex/works/Conferences/2017/SMiRT_24/present/3D_Nonlinear_Modeling_and_it_Effects/NPP_Plastic_Dissipation_grab.jpg}}
{/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4}
\end{center}




\begin{flushleft}
\vspace*{-15mm}
\href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/NPP_Plastic_Dissipation.mp4}
%  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
  {\tiny (MP4)}
\end{flushleft}
%


%+ \begin{center}
%+ 
%+  \includemedia[
%+     width=10cm,height=0.60\linewidth,
%+ %    width=0.6\linewidth,height=0.6\linewidth,
%+     activate=pageopen,
%+     transparent,
%+ %    addresource=free_field_frequency.mp4,    
%+ %   addresource=/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input.mp4,
%+    addresource=/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4,
%+ %   addresource=/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4,
%+ %    sample-video.mp4,
%+     flashvars={
%+ % same path as in addresource!
%+ %      source=free_field_frequency.mp4
%+       source=/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4
%+ %      source=/animfile{}
%+ %      source=/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4
%+      &loop=true           % loop video
%+      &scaleMode=letterbox % preserve aspect ratio
%+     }
%+   ]{}{VPlayer.swf}
%+ 
%+ \end{center}


\end{frame}

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

% 
% 


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

\frametitle{Deeply Embedded SMR, Energy Dissipation}

% Elastoplastic soil with contact elements
%% Both solid and contact elements dissipate energy


% \vspace*{-5mm}
\begin{center}
% \hspace*{-15mm}
\movie[label=show3,width=10cm,poster,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/SMR_Energy_Dissipation_screen_grab.jpg}}
{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/SMR_Energy_Dissipation.mp4}
\end{center}


\begin{flushleft}
\vspace*{-15mm}
\href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/SMR_Energy_Dissipation.mp4}
%  \href{./homo_50m-mesh_45degree_Ormsby.mp4}
  {\tiny (MP4)}
\end{flushleft}
%



%+ \begin{center}
%+ 
%+  \includemedia[
%+     width=10cm,height=0.60\linewidth,
%+ %    width=0.6\linewidth,height=0.6\linewidth,
%+     activate=pageopen,
%+     transparent,
%+ %    addresource=free_field_frequency.mp4,    
%+ %   addresource=/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input.mp4,
%+    addresource=/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/SMR_Energy_Dissipation.mp4,
%+ %   addresource=/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4,
%+ %    sample-video.mp4,
%+     flashvars={
%+ % same path as in addresource!
%+ %      source=free_field_frequency.mp4
%+       source=/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/SMR_Energy_Dissipation.mp4
%+ %      source=/animfile{}
%+ %      source=/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4
%+      &loop=true           % loop video
%+      &scaleMode=letterbox % preserve aspect ratio
%+     }
%+   ]{}{VPlayer.swf}
%+ 
%+ \end{center}
%+ 





% \vspace*{-5mm}



\end{frame}

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

      

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

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





%  





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

















































%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Metadevice/Metamaterial  Seismic Shielding}

%\vspace*{-5mm}
\begin{figure}[!hbpt]
\begin{center}
\hspace*{-5mm}
\includegraphics[width=12truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_model_02.png}
\end{center}
\end{figure}

\vspace*{-5mm}
\begin{flushright} 
\tiny{[Kanellopoulos et al., ETH]}
\end{flushright} 


\end{frame}




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Metadevice/Metamaterial Seismic Shielding}


% local
%\vspace*{-10mm}
\begin{center}
\hspace*{-16mm}
%\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
\movie[label=show3,width=61mm,height=61mm,autostart, showcontrols]
  {\includegraphics[width=61mm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_01_without.png}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/MetaDevice_Building_01_without.mp4}
%\hspace*{-2mm}
%\hfill
%\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
\movie[label=show3,width=61mm,height=61mm,autostart, showcontrols]
  {\includegraphics[width=61mm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_01_with.png}}
  {/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Energy_Dissipation_Animations/MetaDevice_Building_01_with.mp4}
\hspace*{-16mm}
\end{center}
% local


% online
\begin{center}
\href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Energy_dissipation_frames/Individual_Foundation.mp4}
{\tiny (MP4)}
%
\hspace*{40mm}
%
\href{https://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Energy_dissipation_frames/Continuous_Foundation.mp4}
 {\tiny (MP4)}
\end{center}
% online


\vspace*{-5mm}
\begin{flushright} 
\tiny{[Kanellopoulos et al., ETH]}
\end{flushright} 


%+ \begin{center}
%+ %
%+  \includemedia[
%+     width=5.0cm,height=0.45\linewidth,
%+ %    width=0.6\linewidth,height=0.6\linewidth,
%+     activate=pageopen,
%+     transparent,
%+ %    addresource=free_field_frequency.mp4,    
%+    addresource=/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_01_without.mp4,
%+ %    sample-video.mp4,
%+     flashvars={
%+ % same path as in addresource!
%+ %      source=free_field_frequency.mp4
%+       source=/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_01_without.mp4
%+      &loop=true           % loop video
%+      &scaleMode=letterbox % preserve aspect ratio
%+     }
%+   ]
%+ {}{VPlayer.swf}
%+ %
%+  \includemedia[
%+     width=5.0cm,height=0.45\linewidth,
%+ %    width=0.6\linewidth,height=0.6\linewidth,
%+     activate=pageopen,
%+     transparent,
%+ %    addresource=free_field_frequency.mp4,    
%+    addresource=/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_01_with.mp4,
%+ %    sample-video.mp4,
%+     flashvars={
%+ % same path as in addresource!
%+ %      source=free_field_frequency.mp4
%+       source=/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_01_with.mp4
%+      &loop=true           % loop video
%+      &scaleMode=letterbox % preserve aspect ratio
%+     }
%+   ]
%+ {}{VPlayer.swf}
%+ %
%+ \end{center}
%+ 
%+ 

\end{frame}
 


% 
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \begin{frame}
%  \frametitle{Metadevice/Metamaterial Shielding}
%  
%  
%  % local
%  %\vspace*{-2mm}
%  \begin{center}
%  \hspace*{-16mm}
%  %\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
%  \movie[label=show3,width=61mm,poster, showcontrols]
%    {\includegraphics[width=60mm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_02_without.png}}
%    {/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_02_without.mp4}
%  %\hspace*{-2mm}
%  %\hfill
%  %\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
%  \movie[label=show3,width=61mm,poster, showcontrols]
%    {\includegraphics[width=61mm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_02_with.png}}
%    {/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_02_with.mp4}
%  \hspace*{-16mm}
%  \end{center}
%  % local
%  
%  
%  % % online
%  % \begin{center}
%  % \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Energy_dissipation_frames/Individual_Foundation.mp4}
%  % {\tiny (MP4)}
%  % %
%  % \hspace*{40mm}
%  % %
%  % \href{http://sokocalo.engr.ucdavis.edu/~jeremic/lecture_notes_online_material/_Chapter_Applications_Earthquake_Soil_Structure_Interaction_General_Aspects/Energy_dissipation_frames/Continuous_Foundation.mp4}
%  %  {\tiny (MP4)}
%  % \end{center}
%  % % online
%  
%  
%  \vspace*{-5mm}
%  \begin{flushright} 
%  \tiny{[Kanellopoulos et al., ETH]}
%  \end{flushright} 
%  
%     
%  \end{frame}
%  
%  
%  


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Metadevice/Metamaterial Shielding}

%\vspace*{1cm}
\begin{figure}[!hbpt]
\begin{center}
%\hspace*{-20mm}
\includegraphics[width=11truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_model_04.png}
\\
\vspace*{-10mm}
\includegraphics[width=4truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_model_05.png}
%\hspace*{-20mm}
\end{center}
\end{figure}

% 
% \begin{figure}[!hbpt]
% \begin{center}
% \includegraphics[width=5truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_model_05.png}
% \end{center}
% \end{figure}
% 

% \vspace*{-5mm}
% \begin{flushright} 
% \tiny{[Kanellopoulos et al., ETH]}
% \end{flushright} 
% 

\end{frame}

% 


%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \begin{frame}
%  \frametitle{Metacity Shielding}
%  
%  %\vspace*{1cm}
%  \begin{figure}[!hbpt]
%  \begin{center}
%  %\hspace*{-20mm}
%  \includegraphics[width=9truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_model_07.png}
%  %\includegraphics[width=3truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_model_05.png}
%  %\hspace*{-20mm}
%  \end{center}
%  \end{figure}
%  
%  % 
%  % \begin{figure}[!hbpt]
%  % \begin{center}
%  % \includegraphics[width=5truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_model_05.png}
%  % \end{center}
%  % \end{figure}
%  % 
%  
%  \vspace*{-5mm}
%  \begin{flushright} 
%  \tiny{[Kanellopoulos et al., ETH]}
%  \end{flushright} 
%  
%  
%  \end{frame}
%  
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \begin{frame}
%  \frametitle{Metacity Shielding}
%  
%  %\vspace*{1cm}
%  \begin{figure}[!hbpt]
%  \begin{center}
%  %\hspace*{-20mm}
%  \includegraphics[width=9truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_model_09.png}
%  %\includegraphics[width=3truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_model_05.png}
%  %\hspace*{-20mm}
%  \end{center}
%  \end{figure}
%  
%  % 
%  % \begin{figure}[!hbpt]
%  % \begin{center}
%  % \includegraphics[width=5truecm]{/home/jeremic/tex/works/Thesis/KonstantinosKanellopoulos/PhD_presentation_May2025/Building_model_05.png}
%  % \end{center}
%  % \end{figure}
%  % 
%  
%  \vspace*{-5mm}
%  \begin{flushright} 
%  \tiny{[Kanellopoulos et al., ETH]}
%  \end{flushright} 
%  
%  
%  \end{frame}
%  

%  
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  \begin{frame}
%   \frametitle{Northridge SSI Shielding}
%  
%  \begin{figure}[ht]
%  \begin{center}
%  \vspace*{-0.7cm}
%  \includegraphics[width=8.7cm]{/home/jeremic/tex/works/Conferences/2009/CompDyn/Paper/SanFernando_spatial_distribution_of_damage.jpg}
%  %\includegraphics[width=7cm]{/home/jeremic/tex/works/Conferences/2009/CompDyn/Paper/LosAngeles-SantaMonica_spatial_distribution_of_damage.jpg}
%  \end{center}
%  \end{figure}
%  
%  \vspace*{-0.9cm}
%  \hfill {\tiny [Trifunac and Todorovska 1998]}
%  \vspace*{-0.4cm}
%  
%  \end{frame}
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%  
%  
%  
%  
%  






% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% -  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


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



















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




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


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Summary}

\vspace*{2mm}
  \begin{itemize}

%    \item Importance   of   using  proper  models  correctly  (verification,
%    validation, level of sophistication)
%     
 
%    \item Reduction of modeling uncertainty 
%
% 
% \vspace*{4mm}
%     \item[-] Engineering analysis uncertainties
%       \begin{itemize}
% \vspace*{1mm}
%            \item[] Modeling, Epistemic 
% \vspace*{1mm}
%            \item[] Parametric, Aleatory
%       \end{itemize}
% 
\vspace*{3mm}
    \item[-] Engineering analysis to \textbf{predict} and \textbf{inform}


\vspace*{3mm}
%  \item[-]  
%    \url{http://real-essi.us/}     
%     \url{http://real-essi.info/}
% \item[-] Mechanical energy for design, assessment and infrastructure upgrades 
  \item[-] Seismic energy flow: tool for design and assessment

\vspace*{3mm}
%  \item[-]  
%    \url{http://real-essi.us/}     
%     \url{http://real-essi.info/}
% \item[-] Mechanical energy for design, assessment and infrastructure upgrades 
  \item[-] Innovate shapes, materials, etc.


\vspace*{3mm}
%  \item[-]  
%    \url{http://real-essi.us/}
%     \url{http://real-essi.info/}
  \item[-] Engineer needs to know 


\vspace*{3mm}
%  \item[-]  
%    \url{http://real-essi.us/}
%     \url{http://real-essi.info/}
  \item[-] Education and Training is the Key 

% \vspace*{1mm}
% %  \item[-]  
% %    \url{http://real-essi.us/}
% %     \url{http://real-essi.info/}
%   \item[-] \url{http://real-essi.us/}
% 
% 
% 
% 

% \vspace*{2mm}
% 
% \begin{center}
%  \includegraphics[width=22mm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Efcharisto-thanks_you_in_Greek.jpg}
% \\ ~ \\
% 
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0464.JPG}
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0418.JPG}
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0381.JPG}
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0374.JPG}
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0371.JPG}
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0356.JPG}
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0342.JPG}
% \includegraphics[height=1.9cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0336.JPG}
% %\includegraphics[height=1.9cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0252.JPG}
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0248.JPG}
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0393.JPG}
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0763.JPG}
% %\includegraphics[width=2cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_21-23Jun2020/present/Slike_iz_Atine/IMG_0372.JPG}
% %\includegraphics[width=1.3truecm]{/home/jeremic/tex/works/Conferences/2021/CU-Boulder-GEGM-seminar-series-02Apr2021/present/Saint_Sophia_Constantinopolis.jpg}
% %\includegraphics[height=1.3truecm]{/home/jeremic/tex/works/Conferences/2022/USBR_V_and_V_Mar-Apr-May_2022/present/Lecture01_Modeling/Kuca_Bajina_Basta-Drina.jpg}
% %%\hspace*{2mm}            
% %\includegraphics[height=1.1truecm]{/home/jeremic/tex/works/Conferences/2022/USBR_V_and_V_Mar-Apr-May_2022/present/Lecture01_Modeling/Hoover_dam.jpg}
% %\hspace*{2mm}
% \includegraphics[height=1.9truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/Aya-Sofia_03_1990.jpg}
% %\hspace*{1mm}
% %\includegraphics[height=1.9truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/ZhaozhouBridge.jpg}
% %\hspace*{1mm}
% \includegraphics[height=1.9truecm]{/home/jeremic/tex/Classes/2022/Spring/ENG104/Presentation_Boris_Jeremic_interests_and_work/Ctesiphon_arch_Iraq.jpg}
% % %\hspace*{1mm}
% % \includegraphics[height=1.5truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/Four_Water_Wheels_Hama_Syria.jpg}
% %\hspace*{2mm}
% %\includegraphics[height=1.1truecm]{/home/jeremic/tex/Classes/2022/Spring/ENG104/Presentation_Boris_Jeremic_interests_and_work/Brooklyn_bridge.jpg}
% %\hspace*{2mm}
% %\includegraphics[height=1.3truecm]{/home/jeremic/tex/works/Conferences/2022/USBR_V_and_V_Mar-Apr-May_2022/present/Lecture01_Modeling/Diablo_Canyon_NPP.jpg}
% % \hspace*{-10mm}
% 
% \end{center}
% 

\end{itemize}






% 
% \vspace*{4mm}
% %
% \begin{figure}[!hbpt]
% \begin{center}
% %
% \includegraphics[height=1.1truecm]{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_NPPs/Free_Field_small_model_April2015/movie_input_mp4_icon.jpeg}
% \includegraphics[height=1.1truecm]{/home/jeremic/tex/works/Conferences/2016/IAEA_TecDoc_February2016/My_Current_Work/movie_2_npps_mp4_icon.jpeg}
% \includegraphics[height=1.1truecm]{/home/jeremic/public_html/lecture_notes_online_material/_Chapter_Applications_ESSI_for_Buildings/Ventura_Hotel_SSI_vs_nonSSI_screen_grab.jpg}
% % \includegraphics[height=1.1truecm]{/home/jeremic/tex/works/Reports/2019/Pine_Flats_Dam_USSD/USSD_Dam_Report_2019/Figures/Model_Mesh_No_Reservior.pdf}
% \includegraphics[height=1.1truecm]{/home/jeremic/tex/works/Thesis/HanYang/ASCE-7-21_low_building_energy_dissipation/ATC_Short_Building_PD.jpg}
% %\includegraphics[height=1.0truecm]{/home/jeremic/tex/works/Conferences/2018/Oersted-DONG-Energy/present/Pile_in_liquefied_soil.jpg}
% \\
% %
% %\hspace*{-4mm}
% %\includegraphics[width=1.3truecm]{/home/jeremic/tex/works/Conferences/2021/CU-Boulder-GEGM-seminar-series-02Apr2021/present/Saint_Sophia_Constantinopolis.jpg}
% %\includegraphics[height=1.3truecm]{/home/jeremic/tex/works/Conferences/2022/USBR_V_and_V_Mar-Apr-May_2022/present/Lecture01_Modeling/Kuca_Bajina_Basta-Drina.jpg}
% %%\hspace*{2mm}            
% \includegraphics[height=1.1truecm]{/home/jeremic/tex/works/Conferences/2022/USBR_V_and_V_Mar-Apr-May_2022/present/Lecture01_Modeling/Hoover_dam.jpg}
% %\hspace*{2mm}
% \includegraphics[height=1.1truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/Aya-Sofia_03_1990.jpg}
% %\hspace*{2mm}
% \includegraphics[height=1.1truecm]{/home/jeremic/tex/Classes/2022/Spring/ENG104/Presentation_Boris_Jeremic_interests_and_work/Ctesiphon_arch_Iraq.jpg}
% %\hspace*{2mm}
% \includegraphics[height=1.1truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/ZhaozhouBridge.jpg}
% %%\hspace*{2mm}
% \includegraphics[height=1.1truecm]{/home/jeremic/tex/Classes/2022/Spring/ENG104/Presentation_Boris_Jeremic_interests_and_work/Brooklyn_bridge.jpg}
% %\hspace*{2mm}
% %\includegraphics[height=1.3truecm]{/home/jeremic/tex/works/Conferences/2022/USBR_V_and_V_Mar-Apr-May_2022/present/Lecture01_Modeling/Diablo_Canyon_NPP.jpg}
% \hspace*{-10mm}
% %
% %\vspace*{3mm}
% \end{center}
% \end{figure}
% %\vspace*{3mm
% %  
%  





\end{frame}
%

% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%   \frametitle{Colossus of Rhodes: What if?}
%   
% \includegraphics[height=5cm]{/home/jeremic/tex/works/Conferences/2009/CompDyn/Present/rhodes.jpg}
% \includegraphics[height=5cm]{/home/jeremic/tex/works/Conferences/2009/CompDyn/Present/colossus_final.jpg}
% \includegraphics[height=5cm]{/home/jeremic/tex/works/Conferences/2009/CompDyn/Present/rhodes_tilted.jpg}
% 
% 
% \end{frame}
% %-- 



\end{document}

%
%
