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benchmark_brick.tex
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benchmark_brick.tex
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\begin{flushright} {\tiny {\color{gray} \tt benchmark\_brick.tex}} \end{flushright}
%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\Literature:
\textcite{hans03} (2003),
\textcite{moml07} (2007),
\textcite{lemm08} (2008),
\textcite{qurj09} (2009),
\textcite{kaus10} (2010),
\textcite{elga10} (2010),
\textcite{mishin11} (2011),
\textcite{maie12} (2012),
\textcite{spmw16} (2016),
\textcite{gltf18} (2018),
\textcite{frbt19} (2019),
\textcite{dakg22} (2022),
\textcite{mivg22} (2022),
\textcite{aspectmanual}.
Pretty much all of the brick-type (elasto-)visco-plastic experiments in the literature
introduce a weak seed at the bottom of the domain to seed deformation (the shear bands
will ultimately stem from it).
Dimensioned and dimensionless experiments have been carried out, with or without
elastic behaviour, with or without adaptive mesh refinement, with first order and
second order quadrilateral elements or Taylor-Hood triangles, with or without
Newton algorithm, in extension and compression, with or without time-stepping,
with or without viscous lower layer.
\begin{center}
\includegraphics[width=7cm]{images/benchmark_brick/momu06}\\
{\captionfont Moresi \& M{\"u}lhaus, 2006 \cite{momu06}}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\begin{minipage}{0.45\textwidth}
\centering
\includegraphics[height=0.8\textwidth]{images/benchmark_brick/moml07}\\
{\captionfont Moresi \etal, 2007 \cite{moml07}}
\end{minipage}\hfill
\begin{minipage}{0.45\textwidth}
\centering
\includegraphics[height=0.8\textwidth]{images/benchmark_brick/poso08}\\
{\captionfont Popov \etal, 2008 \cite{poso08}}
\end{minipage}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=5cm]{images/benchmark_brick/lemm08a}
\includegraphics[width=5cm]{images/benchmark_brick/lemm08b}
\includegraphics[width=5cm]{images/benchmark_brick/lemm08c}\\
{\captionfont Lemiale \etal, 2008 \cite{lemm08}}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=7cm]{images/benchmark_brick/qurj09b}
\includegraphics[width=6cm]{images/benchmark_brick/qurj09a}\\
{\captionfont Quinteros \etal, 2009 \cite{qurj09}}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=5cm]{images/benchmark_brick/kaus10a}
\includegraphics[width=5cm]{images/benchmark_brick/kaus10b}
\includegraphics[width=5cm]{images/benchmark_brick/kaus10c}\\
{\captionfont Kaus, 2010 \cite{kaus10}}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=3.74cm]{images/benchmark_brick/mishina}
\includegraphics[width=3.74cm]{images/benchmark_brick/mishinb}
\includegraphics[width=3.74cm]{images/benchmark_brick/mishinc}
\includegraphics[width=3.74cm]{images/benchmark_brick/mishind}\\
{\captionfont Mishin, phd thesis, 2011 \cite{mishin11}}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=9cm]{images/benchmark_brick/muso11}\\
{\captionfont M{\"u}hlhaus \etal, 2011 \cite{muso11}.}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=9cm]{images/benchmark_brick/lemm11}\\
{\captionfont Lemiale \etal, 2011 \cite{lemm11}.}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=8cm]{images/benchmark_brick/maie12a}
\includegraphics[width=5cm]{images/benchmark_brick/maie12b}\\
{\captionfont Maierova, phd thesis, 2012 \cite{maie12}}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=5cm]{images/benchmark_brick/mofm13a}
\includegraphics[width=8cm]{images/benchmark_brick/mofm13b}\\
{\captionfont Mohajeri \etal, 2013 \cite{mofm13}.}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=5cm]{images/benchmark_brick/thie14a}
\includegraphics[width=8cm]{images/benchmark_brick/thie14b}\\
{\captionfont Thieulot, 2014 \cite{thie14}.}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=5cm]{images/benchmark_brick/spmw16a}
\includegraphics[width=5cm]{images/benchmark_brick/spmw16b}\\
{\captionfont Spiegelman \etal, 2016 \cite{spmw16}}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\includegraphics[width=5cm]{images/benchmark_brick/gltf18a}
\includegraphics[width=5cm]{images/benchmark_brick/gltf18b}
\includegraphics[width=5cm]{images/benchmark_brick/gltf18c}\\
{\captionfont Glerum \etal, 2018 \cite{gltf18}}
\end{center}
\begin{center}\noindent\rule{12cm}{0.4pt}\end{center}
\begin{center}
\begin{minipage}{0.45\textwidth}
\centering
\includegraphics[height=0.8\textwidth]{images/benchmark_brick/frbt19}\\
{\captionfont Fraters \etal, 2019 \cite{frbt19}}
\end{minipage}\hfill
\begin{minipage}{0.45\textwidth}
\centering
\includegraphics[height=0.8\textwidth]{images/benchmark_brick/aspectmanual}\\
{\captionfont Aspect manual \cite{aspectmanual}}
\end{minipage}
\end{center}