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%\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}



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

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% 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
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% % %\newfont{\cyrnaslov}{wncyb10 scaled 2600}
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%
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% \newfont{\cyrjb}{wncyr10 scaled 600}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


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%  \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}
}

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\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
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\usepackage{hyperref}
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  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[The Real-ESSI Simulator]
%        { Analysis of Soils and Structures during Dynamic Loading: 
%\\
%Deterministic and Probabilistic Methods
\title[Analysis in Civil Engineering]
{
Numerical Analysis in Civil Engineering
}


%\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=0.5cm]{lbnl-logo}{/home/jeremic/BG/amblemi/lbnl-logo}
\pgfdeclareimage[height=0.8cm]{GFB-logo}{/home/jeremic/BG/amblemi/Grb_Fakulteta}


%\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}} 


%\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}\hspace*{1mm}\pgfuseimage{lbnl-logo}\hspace*{1mm}\pgfuseimage{GFB-logo}]  % (optional, but mostly needed)
%\institute[\pgfuseimage{university-logo}\hspace*{1mm}\pgfuseimage{lbnl-logo}]  % (optional, but mostly needed)
\institute[\pgfuseimage{university-logo}] % (optional, but mostly needed)
%{ Professor, University of California, Davis\\
{\large  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)
{ICEE 2026
\\
Beijing, China}

\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:
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%  {
%    \begin{scriptsize}
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%      \frametitle{Outline}
%      \tableofcontents[currentsection,currentsubsection]
% %    \tableofcontents[currentsection]
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%  }


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





\begin{document}

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

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

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

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

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



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\section{Infrastructure}




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%\subsection{Motivation}
\subsection{\ }



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





 

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

\begin{itemize}



 
\vspace*{5mm}
  \item[-] Safety and economy  of infrastructure

\vspace*{3mm}
  \item[-]  Improve  modeling, analysis
 
 
\vspace*{3mm}
  \item[-] Essential interaction: soil and structure
 

% \vspace*{2mm}
%  \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*{3mm}
  \item[-] Uncertainties: Modeling/Epistemic, Parametric/Aleatory



\vspace*{3mm}
  \item[-] Goal is to  predict and inform 
% rather than (force) fit

\vspace*{3mm}
  \item[-] Engineer needs to know!



%
%  
%  
%  \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{Infrastructure, the Foundation of our Society}
 \frametitle{Infrastructure, the Foundation of our Civilization}



\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=3.1truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/Aya-Sofia_03_1990.jpg}
\hspace*{1mm}          
\includegraphics[height=3.1truecm]{/home/jeremic/tex/works/Conferences/2021/ASCE-4_Kennedy_Lecture/present/ZhaozhouBridge.jpg}
%\hspace*{2mm}
% \includegraphics[height=2.1truecm]{/home/jeremic/tex/Classes/2022/Spring/ENG104/Presentation_Boris_Jeremic_interests_and_work/Ctesiphon_arch_Iraq.jpg}
%\hspace*{2mm}
%
\vspace*{1mm}
\\
\includegraphics[height=3.1truecm]{/home/jeremic/tex/works/Conferences/2022/USBR_V_and_V_Mar-Apr-May_2022/present/Lecture01_Modeling/Hoover_dam.jpg}
\hspace*{1mm}
%\includegraphics[height=2.8truecm]{/home/jeremic/tex/Classes/2022/Spring/ENG104/Presentation_Boris_Jeremic_interests_and_work/Brooklyn_bridge.jpg}
%\hspace*{2mm}
\includegraphics[height=3.1truecm]{/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*{-8mm}
%  




\end{frame}
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\begin{frame}
 \frametitle{Progress, Resilient Infrastructure}
                 

\begin{center}
{\tiny Nov1990}
\includegraphics[width=48mm]{/home/jeremic/public_html/NaseSlike/1990/Kina-PutSvile/7022.jpg}
\includegraphics[width=48mm]{/home/jeremic/public_html/NaseSlike/1990/Kina-PutSvile/7021.jpg} 
\\
{\tiny Jul2019}
\includegraphics[width=48mm]{/home/jeremic/public_html/NaseSlike/2019/Jul/put_Peking_Shijiazhuang_13-20Jul2019_06/IMG_0348.JPG}
\includegraphics[width=48mm]{/home/jeremic/public_html/NaseSlike/2019/Jul/put_Peking_Shijiazhuang_13-20Jul2019_06/IMG_0350.JPG}
\end{center}


\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
\frametitle{Common Infrastructure Analysis Challenges}


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

\vspace*{3mm}   
%
\begin{figure}[!htb]
\begin{center}
% %\includegraphics[width=5cm]{Figure-files/_Chapter_Applications_ESSI_BOOK/Building_modeling_Issues_01_pdf.pdf}
%\vspace*{-3mm}                                                                                                                           e
\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}
\includegraphics[width=2.8cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_BOOK/Building_modeling_Issues_03_pdf.pdf}
\includegraphics[width=2.6cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_BOOK/Building_modeling_Issues_02_pdf.pdf}
\includegraphics[width=2.8cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_BOOK/NPP_Modeling_Issues_03.jpg}
\includegraphics[width=2.2cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_BOOK/SMR_Modeling_Issues_02_pdf.pdf}
\\
%\vspace*{2mm}
\includegraphics[width=1.2cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_BOOK/Dam_modeling_Issues_01_pdf.pdf}
\raisebox{-1pt}{\includegraphics[width=3.8cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_BOOK/Dam_modeling_Issues_02_pdf.pdf}}
\includegraphics[width=2.0cm]{/home/jeremic/tex/works/lecture_notes_SOKOCALO/Figure-files/_Chapter_Applications_ESSI_BOOK/Bridge_modeling_Issues_01_pdf.pdf}
\raisebox{-4pt}{\includegraphics[width=2.5cm]{/home/jeremic/tex/Classes/2020/Spring_semester_ETH/ESSI/Term_Projects_from_Students/Tunnel02.pdf}}
% %\vspace*{-8mm}
% \caption{\label{ESSI_Models_and_Challenges}
% ESSI modeling and simulation challenges:
% Free field motions, 3C/6C vs 3$\times$1C;
% Nuclear Power  Plant structure -- soil/rock system, Small Modular Reactor structure -- soil/rock system;
% Low and High Building-foundation-soil system;
% Dam-Foundation-Fluid system;
% Bridge-soil  system;
% %
% Aspects of modeling:
% 1) Seismic motions,
% 2) Inelastic soil and rock,
% 3) Inelastic interface/contact/joints, foundation with soil/rock and
%    interfaces/contacts/joints within structure,
% 4) Inelastic structure, systems and components,
% 5) Solid, Structure -- Fluid interaction, external (reservoirs, fluid pools...) and internal
%    (fully saturated and partially, (un-)saturated soil, rock and concrete).}
\end{center}
\end{figure}

%

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


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Role of Modeling in Civil Engineering}


\begin{itemize}



\vspace*{3mm}   

\vspace*{2mm}
  \item[-]    {Physical, experimental  Modeling}
    \begin{itemize}
%\vspace*{1mm}
      \item[-] Direct observation of system response
      \item[-] Model validation 
%      \item[-] Limitations:  expensive, parameter variablity...
%      \item[-] 
%\vspace*{1mm}
    \end{itemize}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vspace*{2mm}
  \item[-]   {Analytical Modeling}
    \begin{itemize}
      \item[-] Clearity and interpretability
      \item[-] Model verification, reference solutions
%      \item[-] Limitations: simple geometry, material behavior...
    \end{itemize}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vspace*{2mm}
  \item[-]   {Numerical Modeling}
    \begin{itemize}
      \item[-] General method for representing realistic system
      \item[-] Complex geometry, advanced material behavior
%      \item[-] Realistic loads, motions
    \end{itemize}



\end{itemize}

% 
% 
% %Le doute n'est pas un {\'e}tat bien agr{\'e}able,\\ 
%        mais l'assurance est un {\'e}tat ridicule.  (Fran{\c c}ois-Marie Arouet, Voltaire)



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




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Full Integration of all Three Domains is Essential }


\vspace*{3mm}   
\begin{itemize}

\vspace*{4mm}
  \item[-] Analytical modeling: understand and verify


\vspace*{2mm}
  \item[-]  Experimental modeling: observe and validate


\vspace*{2mm}
  \item[-]  Numerical modeling: analyze realistic system

\end{itemize}



%\vspace*{3mm}   
%
\vspace*{3mm}   
\begin{figure}[!htb]
\begin{center}
%\hspace*{-10mm}
%\includegraphics[width=4.0cm,angle=90]{/home/jeremic/tex/works/Conferences/2026/TJU_Resilience_Conf__NFEES_25-30Jul2026/present/IMG_1156.JPG}
\includegraphics[height=3.0cm,angle=0]{/home/jeremic/tex/works/Conferences/2026/Tangshan_Memorial_Conf_ICEE_Beijing_2026/present/NFEES_Sim_Center.jpg}
\hspace*{3mm}
\includegraphics[height=3.0cm,angle=0]{/home/jeremic/tex/works/Conferences/2026/Tangshan_Memorial_Conf_ICEE_Beijing_2026/present/NFEES_Exp_Center.jpg}
%\hspace*{-10mm}
\end{center}
\end{figure}



% %
% %\vspace*{3mm}   
% %
% \begin{figure}[!htb]
% \begin{center}
% \hspace*{-10mm}
% %\includegraphics[width=4.0cm,angle=90]{/home/jeremic/tex/works/Conferences/2026/TJU_Resilience_Conf__NFEES_25-30Jul2026/present/IMG_1156.JPG}
% \includegraphics[width=5.5cm,angle=0]{/home/jeremic/tex/works/Conferences/2026/TJU_Resilience_Conf__NFEES_25-30Jul2026/present/IMG_1158.JPG}
% %\hspace*{10mm}
% \includegraphics[width=5.5cm,angle=0]{/home/jeremic/tex/works/Conferences/2026/TJU_Resilience_Conf__NFEES_25-30Jul2026/present/IMG_1159.JPG}
% \hspace*{-10mm}
% \end{center}
% \end{figure}
% 
% 
% 

% 
% 
% %Le doute n'est pas un {\'e}tat bien agr{\'e}able,\\ 
%        mais l'assurance est un {\'e}tat ridicule.  (Fran{\c c}ois-Marie Arouet, Voltaire)



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\section{Engineering Analysis}




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%\subsection{Motivation}
\subsection{\ }



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% 
% 
% \begin{itemize}
% 
% 
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% 
% \vspace*{2mm}
%   \item[-]    {Capable of representing realiastic infrastructure}
% 
% \vspace*{5mm}
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%     \begin{itemize}
%       \item[-] Complex geometry
%       \item[-] Advanced material behavior
%       \item[-] Coupled processes
% %      \item[-] Unlike physical modeling: Not constrained by physical setup
% %      \item[-] Unlike analytical modeling: Not restricted to simplified assumptions 
% %      \item[-] 
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% \end{itemize}
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% % 
% % 
% % %Le doute n'est pas un {\'e}tat bien agr{\'e}able,\\ 
% %        mais l'assurance est un {\'e}tat ridicule.  (Fran{\c c}ois-Marie Arouet, Voltaire)
% 
% 
% 
% \end{frame}
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\begin{frame}
 \frametitle{Numerical Prediction under Uncertainty}


\begin{itemize}




\vspace*{5mm}
  \item[-]    {Modeling, Epistemic Uncertainty}
    \begin{itemize}

\vspace*{1mm}
      \item[] Model simplifications

\vspace*{1mm}
      \item[] Choice of sophistication level for confidence in  results

\vspace*{1mm}
      \item[] Verification and Validation 


    \end{itemize}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vspace*{4mm}
  \item[-]   {Parametric, Aleatory    Uncertainty}

  \begin{itemize}


\vspace*{1mm}
    \item[]  ${M}  \;\Delta \ddot{u_i}  +  {C} \; \Delta \dot{u_i} + {K}^{ep} \; \Delta {u_i} = \Delta {F(t)}$, 

\vspace*{1mm}
    \item[] Uncertain: mass $M$, damping  $C$, stiffness $K^{ep}$, loads $F(t)$


\vspace*{1mm}
    \item[] Results are PDFs   and   CDFs  for  $\sigma_{ij}$,  $\epsilon_{ij}$,  $u_i$,  $\dot{u}_i$,  $\ddot{u}_i$

  \end{itemize}




\end{itemize}



% 
% 
% %Le doute n'est pas un {\'e}tat bien agr{\'e}able,\\ 
%        mais l'assurance est un {\'e}tat ridicule.  (Fran{\c c}ois-Marie Arouet, Voltaire)



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% %\subsection{Deterministic Analysis}
% \subsection{Engineering Analysis}
% 




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% \begin{frame}
% \frametitle{ESSI: 6C or 1C Seismic Motions}
% 
% 
% \begin{itemize}
% 
% 
% \item Assume that a full 6C (3C) motions at the surface are only recorded in one
% horizontal direction
% 
% 
% \item  From such recorded motions one can develop a vertically propagating shear
% wave (1C) in 1D
% 
% \item  Apply  such  vertically propagating shear wave to same soil-structure
% system
% 
% \end{itemize}
% 
% \vspace*{-3mm}
% \begin{figure}[!H]
% \begin{center}
%  \includegraphics[width=6.5cm]{/home/jeremic/tex/works/Conferences/2015/CompDyn/Present/6D_to_1D_01.jpg}
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\begin{frame}
 \frametitle{Energy Input and Dissipation}

\begin{itemize}

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


\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
       \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}

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\end{frame}
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% 
% \begin{frame}
% \frametitle{Energy Dissipation}
% 
% \begin{itemize}
% 
% 
% 
% \vspace*{4mm}
% \item[-] 
% Rate of plastic energy dissipation:
% %$\Phi =  \sigma_{ij} \dot{\epsilon}_{ij} - \sigma_{ij} \dot{\epsilon}_{ij}^{el} - \rho \dot{\psi}_{pl} \ge 0$
% $\Phi =  \sigma_{ij} \Delta {\epsilon}_{ij} - 
%           \sigma_{ij} \Delta {\epsilon}_{ij}^{el} - 
%           \rho \Delta {\psi}_{pl} \ge 0$
%  
% 
% % %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*{4mm}
% \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*{4mm}
% \item[-] 
% Algorithmic, numerical dissipation:
% \\
%  Newmark, Hilber-Hughes-Taylor, Houbolt, Wilson ...
% 
% 
% %     
% % Newmark time integration method 
% % %\cite{Newmark1959} 
% % is used for all cases in this study.
% % %
% % The  forward  displacements $^{n+1}u_{i}$ and velocities $^{n+1}\dot{u}_{i}$ are
% % expressed in terms of their current values and the forward and current values of
% % the acceleration
% % %
% % \begin{equation}
% % \begin{aligned}
% % ^{n+1}\dot{u}_{i} &= \; ^{n}\dot{u}_{i} + (1 - \gamma) h \; ^{n}\ddot{u}_{i}  + \gamma h \; ^{n+1}\ddot{u}_{i} \\
% % ^{n+1}u_{i} &= \; ^{n}u_{i} + h \; ^{n}\dot{u}_{i} + (\frac{1}{2} - \beta) h^{2} \; ^{n}\ddot{u}_{i} + \beta h^{2} \; ^{n+1}\ddot{u}_{i}
% % \end{aligned}
% % \end{equation}
% % %
% % where  $\Delta  t$ is the length of each time step, $\gamma$ and $\beta$ are the
% % Newmark  integration parameters that controls the amount of algorithmic damping in
% % the system.
% % 
% % 
% % %\citeN{Krenk2006} 
% % gave the incremental form of the energy balance equation
% % \ref{equation_energy_balance} over increment $t_n$ to $t_{n+1}$, for Newmark algorithm
% % %
% % \begin{equation}
% % \begin{aligned}
% % & \left. \left[ 
% % \frac{1}{2} M_{ij}^{\star} \dot{u}_{i} \dot{u}_{j} 
% % + 
% % \frac{1}{2} K_{ij} {u}_i {u}_j 
% % + 
% % \left( \beta - \frac{1}{2} \gamma \right) \frac{1}{2} h^{2} M_{ij}^{\star} \ddot{u}_{i} \ddot{u}_{j} 
% % \right] \right|^{t_{n+1}}_{t_n} 
% % = \\
% % & \quad \quad + \Delta u_{i} \left[ \frac{1}{2} (f_{i}^{n+1} + f_{i}^{n}) + \left( \gamma - \frac{1}{2} \right) \Delta f_{i} \right] \\
% % & \quad \quad  - \left( \gamma - \frac{1}{2} \right) \left[ K_{ij} \Delta {u}_i \Delta {u}_j  + \left( \beta - \frac{1}{2} \gamma \right) h^{2} M_{ij}^{\star} \Delta \ddot{u}_{i} \Delta \ddot{u}_{j} \right] \\
% % & \quad \quad  - \frac{1}{2} h \left[ h^{-2} C_{ij} \Delta {u}_i \Delta {u}_j + \frac{1}{4} C_{ij} (\dot{u}_{i}^{n+1} + \dot{u}_{i}^{n}) (\dot{u}_{j}^{n+1} + \dot{u}_{j}^{n}) \right] \\
% % & \quad \quad  + \frac{1}{2} \left( \beta - \frac{1}{2} \gamma \right)^{2} h^{3} C_{ij} \Delta \ddot{u}_{i} \Delta \ddot{u}_{j} 
% % \end{aligned}
% % \label{equation_energy_balance_increment_krenk}
% % \end{equation}
% % %
% % where the equivalent mass matrix $M_{ij}^{\star}$ is defined as
% % %
% % \begin{equation}
% % M_{ij}^{\star} = M_{ij} + \left( \gamma - \frac{1}{2} \right) h C_{ij}
% % \end{equation}
% % %
% % 
% % 
% 
% % Rearranging   Equation~\ref{equation_energy_balance_increment_krenk}  gives  the
% % explicit expression for the amount of algorithmic energy dissipation over an
% % increment
% % %
% % % \begin{equation}
% % \begin{eqnarray}
% % & \left[ {E}_K + {D}_V + {W}_M - {W}_{Input} \right]^{t_{n+1}}_{t_n} = \\
% % & \quad \quad + \left( \gamma - \frac{1}{2} \right) \Delta f_{i} \Delta u_{i} + \frac{1}{2} \left( \beta - \frac{1}{2} \gamma \right)^{2} h^{3} C_{ij} \Delta \ddot{u}_{i} \Delta \ddot{u}_{j} \\
% % & \quad \quad  - \left( \gamma - \frac{1}{2} \right) \left[ K_{ij} \Delta {u}_i \Delta {u}_j  + \left( \beta - \frac{1}{2} \gamma \right) h^{2} M_{ij}^{\star} \Delta \ddot{u}_{i} \Delta \ddot{u}_{j} \right] \\
% % & \quad \quad  - \left. \left[ \frac{1}{2} \left( \gamma - \frac{1}{2} \right) h C_{ij} \dot{u}_{i} \dot{u}_{j} + \left( \beta - \frac{1}{2} \gamma \right) \frac{1}{2} h^{2} M_{ij}^{\star} \ddot{u}_{i} \ddot{u}_{j} \right] \right|^{t_{n+1}}_{t_n} \\
% % \end{eqnarray}
% % %
% % When  $\gamma  =  0.500$ and $\beta=0.250$, all the terms on the right hand side of
% % Equation   \ref{equation_energy_balance_increment_krenk_new}   vanish,   thus   no
% % algorithmic energy dissipation exists.
% % %
% % For  other  values  of  $\gamma$ and $\beta$, algorithmic energy dissipation, or
% % even energy production, is observed in the system.
% % 
% % 
% 
% 
% \end{itemize}
% 
% 
% 
% 
% 
% 
% \end{frame}
% 
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\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 !
\item[] Surface area of $F-\Delta$ or $\sigma-\epsilon$ 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}
  
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\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}




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\frametitle{Direct Seismic Energy Dissipation to the Soil!}


\vspace*{15mm}

% local
%\vspace*{-2mm}
\begin{center}
\hspace*{-16mm}
%\movie[label=show3,width=5.6cm,poster,autostart,showcontrols]
\movie[label=show3,width=61mm, showcontrols]
  {\includegraphics[width=60mm]{/home/jeremic/tex/works/Conferences/2026/13_USNCEE_13-17Jul2026_Portland_OR/present/Individual_Foundation_screen_grab_after_dissipation.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, showcontrols]
  {\includegraphics[width=61mm]{/home/jeremic/tex/works/Conferences/2026/13_USNCEE_13-17Jul2026_Portland_OR/present/Continuous_Foundation_screen_grab_after_dissipation.jpg}}
  {/home/jeremic/tex/works/Thesis/HanYang/Frame_animations_13Mar2019/Continuous_Foundation.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





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

\frametitle{NPP, 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,showcontrols]
{\includegraphics[width=10cm]
{/home/jeremic/tex/works/Conferences/2026/13_USNCEE_13-17Jul2026_Portland_OR/present/NPP_Plastic_Dissipation_grab_after_dissipation.jpg}}
{/home/jeremic/tex/works/Thesis/HanYang/Files_10Aug2017/NPP_Plastic_Dissipation.mp4}
\end{center}




\begin{flushleft}
\vspace*{-15mm}
\href{http://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}
%



\end{frame}

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


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%\subsection{Probabilistic Analysis}






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\begin{frame}{Stochastic Elastic-Plastic Finite Element Method}


%\vspace*{2mm}
%Dynamic Finite Elements 
%FEM: ~~~~~~~
$
{ M} \; \Delta \ddot{ u_i} +
{ C} \; \Delta \dot{ u_i} +
{ K}^{ep}\; \Delta  { u_i} =
{ \Delta F(t)}$


\begin{itemize}
\vspace*{2mm}
\item[-] Input random field/process{\normalsize{(non-Gaussian, heterogeneous/ non-stationary)}}:
          Multi-dimensional Hermite Polynomial Chaos (PC) with {known coefficients}
%\vspace{0.05in}
\vspace*{2mm}
\item[-] Output response process: Multi-dimensional Hermite PC with {unknown coefficients}
% % \vspace{0.05in}
% %\vspace*{2mm}
%  \item[-] Galerkin projection: minimize the error to compute unknown coefficients of response process
% % %\vspace{0.05in}
% % \vspace*{2mm}
% %  \item[-] Time integration using Newmark's method
% % : Update coefficients following
% % an elastic-plastic constitutive law at each time step
 
\vspace*{2mm} 
\item[-] Complete probabilistic response


\vspace*{2mm} 
\item[-] NO need to decide/define Intensity Measures (IMs) !


\end{itemize}

%
% \vspace*{1mm} 
% \tiny{Jeremi{\'c} et al. 2011}
% 

%\scriptsize 
%Note: PC = Polynomial Chaos

\end{frame}



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% 
% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begingroup

\setbeamertemplate{footline}{}

\begin{frame}

%\frametitle{TDNIPSRA Framework}
\frametitle{Application: Seismic Hazard}

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

\begin{textblock}{15}(0, 4.0)
\includegraphics[width=0.35\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/UCERF3.pdf}
\end{textblock}

\begin{textblock}{15}(0.3, 3.5)
\scriptsize{Seismic source characterization}
\end{textblock}

\begin{textblock}{15}(2.9, 5.2)
\tiny{UCERF3 (2014)}
\end{textblock}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{textblock}{15}(5.1, 6.5)
%$\Rightarrow$
{\Large $\rightarrow$}
\end{textblock}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\begin{textblock}{15}(5.8, 3.9)
\vspace*{1mm}
\includegraphics[width=0.27\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/SMSIM.pdf}
\end{textblock}


\begin{textblock}{15}(7.1, 6.2)
\scalebox{.9}{\tiny{Fourier spectra}}
\\
\vspace*{-0.2cm}
\scalebox{.9}{\tiny{\hspace{0.14cm} Boore(2003)}}
\end{textblock}

\begin{textblock}{15}(6.1, 3.5)
\scriptsize{Stochastic ground motion}
\end{textblock}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{textblock}{15}(9.9, 6.5)
%{\bf $\Rightarrow$}
{\Large $\rightarrow$}
\end{textblock}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{textblock}{15}(10.5, 4.2)
% \includegraphics[width=0.35\linewidth]{pic/KL_exact_dis_correlation_from_dis.pdf}
\includegraphics[width=0.35\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/Acc_realization_200.pdf}
\end{textblock}

\begin{textblock}{15}(11.1, 9.6)
\scriptsize{Uncertainty characterization \\
\hspace{0.1cm} Hermite polynomial chaos}
\end{textblock}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{textblock}{15}(10.2, 13.2)
{\Large $\leftarrow$}
\end{textblock}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{textblock}{15}(11, 11.2)
\includegraphics[width=0.35\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/structural_uncertainty.pdf}
\end{textblock}

\begin{textblock}{15}(5.3, 10.75)
\includegraphics[width=0.33\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/probabilsitc_evolution.png}
\end{textblock}

\begin{textblock}{15}(5.4, 9.6)
\scriptsize{\quad \quad Uncertainty propagation \\ 
\quad \quad \quad \quad SEPFEM}
\end{textblock}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{textblock}{15}(4.6, 13.2)
%$\Leftarrow$
{\Large $\leftarrow$}
\end{textblock}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{textblock}{15}(0.3, 11.0)
\includegraphics[width=0.29\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/seismic_risk_result_framework.png}
\end{textblock}

\begin{tikzpicture}[remember picture, overlay]
\draw[line width=1pt, draw=black, rounded corners=4pt, fill=gray!20, fill opacity=1]
([xshift=-25pt,yshift=-55pt]$(pic cs:a) + (0pt,8pt)$) rectangle ([xshift=95pt,yshift=-18pt]$(pic cs:b)+(0pt,-2pt)$);
\end{tikzpicture}


\begin{textblock}{15}(-0.1, 9.3)
\scriptsize
\quad \quad \quad \quad $\lambda(EDP>z)=$

$\quad \sum N_i(M_i, R_i) P(EDP>z|M_i, R_i)$
\end{textblock}

\begin{textblock}{15}(1.6, 10.7)
\scriptsize{EDP hazard/risk}
\end{textblock}

\end{frame}

\endgroup
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% 
% 
% 
% 
% 
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% %\subsection{Illustrative Example}
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\begingroup

\setbeamertemplate{footline}{}

\begin{frame} 

\frametitle{Seismic Risk Analysis}

\begin{textblock}{15}(1.9,3.8)
\scriptsize
\includegraphics[width=0.42\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/Lec4/MIDR_PDF_evolution.pdf}
\includegraphics[width=0.42\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/Lec4/PDF_MIDR_combine.pdf}
\end{textblock}

\begin{textblock}{15}(1.9,9.5)
\scriptsize
\includegraphics[width=0.42\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/Lec4/MIDR_distribution_different_floors.pdf}
\includegraphics[width=0.42\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/Lec4/Risk_MIDR.pdf}
\end{textblock}

\begin{textblock}{15}(0.8, 3.8)
\scriptsize Engineering demand parameter (EDP): Maximum inter-story drift ratio (MIDR) 
\end{textblock}
\end{frame}
\endgroup
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begingroup
\setbeamertemplate{footline}{}
\begin{frame} 

\frametitle{Seismic Risk Analysis}

\begin{textblock}{15}(1.9,3.8)
\scriptsize
\includegraphics[width=0.42\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/Lec4/PFA_distribution.pdf}
\includegraphics[width=0.42\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/Lec4/Risk_PFA.pdf}
\end{textblock}

\begin{textblock}{15}(1.9,9.3)
\scriptsize
\includegraphics[width=0.41\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/Lec4/2D_EDP_PDF_1e5.pdf}
\end{textblock}

\begin{textblock}{15}(8.7,9.4)
\scriptsize
\includegraphics[width=0.40\linewidth]{/home/jeremic/tex/works/Conferences/2020/Natural_Phenomena_Hazard_Oct2020/present/from_Hexiang_17Oct2020/pic/Lec4/2D_EDP_PDF_downview_1e5.pdf}
\end{textblock}

\begin{textblock}{15}(0.8, 3.8)
\scriptsize Engineering demand parameter (EDP): Peak floor acceleration (PFA) 
\end{textblock}
\end{frame}
\endgroup
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


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

\frametitle{Seismic Risk Analysis}

%\vspace{-0.5cm}
\vspace*{2mm}

\begin{itemize}

%  \item[-] \small Damage measure (DM) defined on multiple EDPs: 
%  \item[-] \small Damage measure (DM) defined on single EDP:
  \item[-] Damage measure defined on single EDP:

\vspace*{-3mm}

%\begin{textblock}{15}(0.7,8.9)
\begin{table}[!htbp]
\small
\resizebox{0.98\hsize}{!}{
\begin{tabular}{ccccccc}
%\hline
\textbf{DM} & MIDR\textgreater{}0.5\% & \textbf{MIDR\textgreater{}1\%} & MIDR\textgreater{}2\% & PFA\textgreater{}0.5${\rm m/s^2}$ & \textbf{PFA\textgreater{}1\boldsymbol{${\rm m/s^2}$}} & PFA\textgreater{}1.5${\rm m/s^2}$ \\ 
\hline
\textbf{Risk [/yr]} & 6.66$\times 10^{-3}$                    & \textbf{3.83\boldsymbol{$\times 10^{-3}$}}                  & 9.97$\times 10^{-5}$                   & 6.65$\times 10^{-3}$                 & \textbf{1.92 \boldsymbol{$\times 10^{-3}$}}               & 9.45$\times 10^{-5}$                 \\ 
%\hline
\end{tabular}}
\end{table}
%\end{textblock}


\vspace{4mm}
  \item[-] Damage measure (DM) defined on multiple EDPs: 

%    \vspace{2mm}
    {\scriptsize $DM: \{\text{MIDR}>1\%\,  \cup \,\text{PFA}>1{\rm m/s^2} \}$, seismic risk is \boldsymbol{$4.2 \times 10^{-3}/yr$} }

    \vspace{1mm}
    {\scriptsize $DM: \{\text{MIDR}>1\%\,  \cap \,\text{PFA}>1{\rm m/s^2} \}$, seismic risk is \boldsymbol{$1.71 \times 10^{-3}/yr$}}

    \vspace{3mm}


%\vspace{20mm}

\vspace{4mm}
\item[-] \small Seismic risk for DM defined on multiple EDPs can be quite
different from that defined on single EDP

\end{itemize}
\end{frame}
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%  

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\begin{frame}
\frametitle{Sensitivities, Backward Uncertainty Propagation}

\begin{itemize}

\vspace*{2mm}
  \item[-] Given forward uncertain response, PDFs, CDFs...

\vspace*{4mm}
  \item[-] Contributions of uncertain input to forward uncertainties

\vspace*{4mm}
  \item[-] Sensitivity of uncertain response to input uncertainties

\vspace*{4mm}
  \item[-] Sobol indices



\end{itemize}


\end{frame}




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% 
%  















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% 


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

\frametitle{Application Example: Stochastic Site Response}

\vspace*{5mm}
\begin{itemize}
% \item[-] Three-layered ground with \\
%       uncertain material properties and \\
%       uncertain seismic rock motions

 \item[-] Uncertain material: \\
       uncertain random field, \\
       marginally lognormal \\
       distribution, \\
       exponential correlation \\
       length 10m

\vspace*{2mm}
\item[-]  Uncertain  seismic \\
          rock motions:  \\
          seismic  scenario \\
           M=7,  R=50km \\
%       Stochastic Fourier amplitude spectra, \\
%       Stochastic Fourier phase derivative

\end{itemize}


\vspace*{-50mm}
\begin{figure}[!hbpt]
\begin{flushright}
\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_28-30Jun2021/present/Three-Layer-Model.jpg}
\\
\includegraphics[width=5.5cm]{/home/jeremic/tex/works/Conferences/2021/CompDyn_8th_Athens_28-30Jun2021/present/Input-motions.jpg}
\end{flushright}
\end{figure}

% 
%  \begin{figure}[!hbpt]
%  \begin{center}
%  \includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/structural_uncertainty.pdf}
%  \end{center}
%  \end{figure}
%  
%  
%  \begin{figure}[!hbpt]
%  \begin{center}
%  \includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/probabilsitc_evolution.png}
%  \end{center}
%  \end{figure}
%  
%  
%  
%  \begin{figure}[!hbpt]
%  \begin{center}
%  \includegraphics[width=10cm]{/home/jeremic/tex/works/Conferences/2019/CompDyn/present/pic/seismic_risk_result_framework.png}
%  \end{center}
%  \end{figure}
%  
%  
\end{frame}
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\begin{frame}

\frametitle{Sensitivity Analysis}

%  


%\begin{itemize}
%
%
\vspace*{4mm}
%  \item[-] 
Total variance in PGA, in this particular case (!), 
dominated by uncertain rock motions at depth
    \begin{itemize}
\vspace*{4mm}
      \item[] $49$\% from uncertain rock motions at depth
\vspace*{4mm}
      \item[] $2$\% from uncertain soil
\vspace*{4mm}
      \item[] $49$\% from interaction of uncertain rock motions and  uncertain soil 


    \end{itemize}

                     % -- 







%  \item 
%\end{itemize}



\end{frame}
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\section{Summary}



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\subsection{\ }


% 
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Appropriate Science and Engineering Quotes}
% 
%  
% \begin{itemize}
% 
% 
% 
% % \vspace*{2mm}
% 
% \begin{small}
% 
% \vspace*{2mm}
% \item[]  Fran{\c c}ois-Marie Arouet,  Voltaire: \\
% "Le doute n'est pas une condition agr{\'e}able, 
% mais la certitude est absurde"
% 
% 
% % \vspace*{2mm}
% 
% 
% 
% % 
% %  \vspace*{1mm}
% % %1895   
% % \item[-] William Thomson, Lord Kelvin:   
% % "Heavier-than-air flying machines are impossible."
% % 
% % 
% 
% % 
% % 
% %  \vspace*{1mm}
% % %1943   
% % \item[-] Thomas Watson, IBM Chairman:   
% % "I think there is a world market for maybe five computers."
% % 
% 
%  \vspace*{3mm}
% \item[] Max  Planck:  \\
% "A    new    scientific  truth does not triumph by convincing  its opponents and
% making  them see the light, but rather because its opponents eventually die, and
% a  new  generation  grows  up  that  is familiar with it" 
% %(Science advances one funeral at a time)
% 
% 
% % 
% %  \vspace*{3mm}
% % \item[-]  Niklaus  Wirth:   
% % "Software is getting slower more rapidly than hardware becomes faster."
% 
% 
% 
%  \vspace*{3mm}
% \item[] Theodore Von K{\'a}rm{\'a}n: \\
% "The Scientist studies what is,
%  the engineer creates what has never been"
% 
% 
% \end{small}
% 
% 
% \end{itemize}
% 
% 
% \end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  





%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
%  \frametitle{\hfill \cyrjbnaslov{Zakljuchak}  \hfill  }
  \frametitle{Summary}


\vspace*{3mm}
\begin{itemize}

\vspace*{1mm}
    \item[-] Engineering analysis to \textbf{predict} and \textbf{inform}


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



% \vspace*{2mm}
% %    \item[-] Engineering analysis uncertainties
%     \item[-] Analysis uncertainties
%       \begin{itemize}
% %\vspace*{1mm}
%            \item[] Modeling, Epistemic 
% %\vspace*{1mm}
%            \item[] Parametric, Aleatory
%       \end{itemize}



\vspace*{1mm}
%  \item[-]  
%    \url{http://real-essi.us/}
%     \url{http://real-essi.info/}
  \item[-] \textbf{Education} and \textbf{Training} is the Key 

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


\vspace*{1mm}
        \item[-]
%  Collaborators:  
        Yang, 
        Sinha, 
        Wang, 
        Lacour, 
        Wang, 
        Pisan{\'o}, 
        Abell, 
        Sett, 
        Tafazzoli, 
        Jie, 
        Preisig,
        Tasiopoulou, 
        Watanabe, 
        Luo, 
        Cheng, 
        Yang, 
        Kanellopoulos, 
        Staszewska...


\vspace*{1mm}
  \item[-] 
%  Collaboration with and Funding from:
   US-DOE, 
   US-NRC, 
   US-NSF, 
   ATC/US-FEMA, 
   CNSC-CCSN, 
   UN-IAEA, 
   Shimizu, 
      PEER,
      Caltrans,  
        ENSI-CH-Basler\&Hofmann,  
%        ENSI-CH, 
        KEPCO,
        EDF, 
        CalTeachLab... 
% %        etc.
%          is greatly appreciated!





\end{itemize}

% 
%  
%  \begin{figure}[!hbpt]
%  \begin{center}
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