diff options
| -rw-r--r-- | .gitmodules | 3 | ||||
| -rw-r--r-- | CULogo-red120px.eps | bin | 0 -> 585622 bytes | |||
| -rw-r--r-- | a0header.ps | 4 | ||||
| -rw-r--r-- | a0poster.cls | 210 | ||||
| -rw-r--r-- | a0size.sty | 252 | ||||
| m--------- | paper | 0 | ||||
| -rw-r--r-- | poster_aps_mm_2020.tex | 223 |
7 files changed, 692 insertions, 0 deletions
diff --git a/.gitmodules b/.gitmodules new file mode 100644 index 0000000..726c245 --- /dev/null +++ b/.gitmodules @@ -0,0 +1,3 @@ +[submodule "paper"] + path = paper + url = https://git.kent-dobias.com/research/hidden_order/paper diff --git a/CULogo-red120px.eps b/CULogo-red120px.eps Binary files differnew file mode 100644 index 0000000..a47cafd --- /dev/null +++ b/CULogo-red120px.eps diff --git a/a0header.ps b/a0header.ps new file mode 100644 index 0000000..c9d07a1 --- /dev/null +++ b/a0header.ps @@ -0,0 +1,4 @@ +%%BeginFeature *PageSize ISOA0/ISO A0 +2 dict dup /PageSize [2594 3370] put dup /ImagingBBox null put +setpagedevice +%%EndFeature diff --git a/a0poster.cls b/a0poster.cls new file mode 100644 index 0000000..68fa0f6 --- /dev/null +++ b/a0poster.cls @@ -0,0 +1,210 @@ +%% +%% This is file `a0poster.cls' +%% +%% Copyright (C) 1997-2004 Gerlinde Kettl and Matthias Weiser +%% +%% It may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.2 +%% of this license or (at your option) any later version. +%% The latest version of this license is in +%% http://www.latex-project.org/lppl.txt +%% and version 1.2 or later is part of all distributions of LaTeX +%% version 1999/12/01 or later. +%% +%% Problems, bugs and comments to +%% tex@kettl.de +%% + +\ProvidesClass{a0poster}[2004/01/31 v1.22b a0poster class (GK, MW)] +\NeedsTeXFormat{LaTeX2e}[1995/06/01] +\LoadClass{article} + +\newif\ifportrait +\newif\ifanullb +\newif\ifanull +\newif\ifaeins +\newif\ifazwei +\newif\ifadrei +\newif\ifposterdraft + +\newcount\xkoord +\newcount\ykoord +\newcount\xscale +\newcount\yscale + +\DeclareOption{a0b}{ +\anullbtrue +\xkoord=2594 % big points (1 bp=1/72 inch) +\ykoord=3370 % big points (1 bp=1/72 inch) +\xscale=2 +\yscale=2 +} +\DeclareOption{a0}{ +\anulltrue\anullbfalse +\xkoord=2380 % big points (1 bp=1/72 inch) +\ykoord=3368 % big points (1 bp=1/72 inch) +\xscale=2 +\yscale=2 +} +\DeclareOption{a1}{ +\aeinstrue\anullbfalse +\xkoord=1684 % big points (1 bp=1/72 inch) +\ykoord=2380 % big points (1 bp=1/72 inch) +\xscale=3 +\yscale=3 +} +\DeclareOption{a2}{ +\azweitrue\anullbfalse +\xkoord=1190 % big points (1 bp=1/72 inch) +\ykoord=1684 % big points (1 bp=1/72 inch) +\xscale=4 +\yscale=4 + +} +\DeclareOption{a3}{ +\adreitrue\anullbfalse +\xkoord=842 % big points (1 bp=1/72 inch) +\ykoord=1190 % big points (1 bp=1/72 inch) +\xscale=6 +\yscale=6 +} +\DeclareOption{landscape}{ +\portraitfalse +} +\DeclareOption{portrait}{ +\portraittrue +} +\DeclareOption{draft}{ %% Just for downward compatibility +\posterdrafttrue +} +\DeclareOption{posterdraft}{ %% To avoid collisions with the graphics package +\posterdrafttrue +} +\DeclareOption{final}{ +\posterdraftfalse +} +\DeclareOption*{\PackageWarning{a0poster}{Unknown Option \CurrentOption}} +\ExecuteOptions{landscape,a0b,final} +\ProcessOptions\relax + +\ifanullb + \setlength{\paperwidth}{119cm} + \setlength{\paperheight}{87cm} + \setlength{\textwidth}{114cm} + \setlength{\textheight}{87cm} +\else\ifanull + \setlength{\paperwidth}{118.82cm} + \setlength{\paperheight}{83.96cm} + \setlength{\textwidth}{114.82cm} + \setlength{\textheight}{79.96cm} + \else\ifaeins + \setlength{\paperwidth}{83.96cm} + \setlength{\paperheight}{59.4cm} + \setlength{\textwidth}{79.96cm} + \setlength{\textheight}{55.4cm} + \else\ifazwei + \setlength{\paperwidth}{59.4cm} + \setlength{\paperheight}{41.98cm} + \setlength{\textwidth}{55.4cm} + \setlength{\textheight}{37.98cm} + \else\ifadrei + \setlength{\paperwidth}{41.98cm} + \setlength{\paperheight}{29.7cm} + \setlength{\textwidth}{37.98cm} + \setlength{\textheight}{25.7cm} + \else\relax + \fi + \fi + \fi + \fi +\fi + + +\ifportrait + \newdimen\tausch + \setlength{\tausch}{\paperwidth} + \setlength{\paperwidth}{\paperheight} + \setlength{\paperheight}{\tausch} + \setlength{\tausch}{\textwidth} + \setlength{\textwidth}{\textheight} + \setlength{\textheight}{\tausch} +\else\relax +\fi + 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+\renewcommand{\small}{\fontsize{20.74}{25}\selectfont} +\renewcommand{\normalsize}{\fontsize{24.88}{30}\selectfont} +\renewcommand{\large}{\fontsize{29.86}{37}\selectfont} +\renewcommand{\Large}{\fontsize{35.83}{45}\selectfont} +\renewcommand{\LARGE}{\fontsize{43}{54}\selectfont} +\renewcommand{\huge}{\fontsize{51.6}{64}\selectfont} +\renewcommand{\Huge}{\fontsize{61.92}{77}\selectfont} +\newcommand{\veryHuge}{\fontsize{74.3}{93}\selectfont} +\newcommand{\VeryHuge}{\fontsize{89.16}{112}\selectfont} +\newcommand{\VERYHuge}{\fontsize{107}{134}\selectfont} + +\setlength\smallskipamount{6pt plus 2pt minus 2pt} +\setlength\medskipamount{12pt plus 4pt minus 4pt} +\setlength\bigskipamount{24pt plus 8pt minus 8pt} + +\setlength\abovecaptionskip{25pt} +\setlength\belowcaptionskip{0pt} +\setlength\abovedisplayskip{25pt plus 6pt minus 15 pt} +\setlength\abovedisplayshortskip{0pt plus 6pt} +\setlength\belowdisplayshortskip{13pt plus 7pt minus 6pt} +\setlength\belowdisplayskip\abovedisplayskip + +\normalsize + +\AtBeginDocument{ +\ifanullb + \ifportrait\special{papersize=91.51cm,120cm}\else\special{papersize=120cm,91.51cm}\fi +\else\ifanull + \ifportrait\special{papersize=83.96cm,118.82cm}\else\special{papersize=118.82cm,83.96cm}\fi + \else\ifaeins + \ifportrait\special{papersize=59.4cm,83.96cm}\else\special{papersize=83.96cm,59.4cm}\fi + \else\ifazwei + \ifportrait\special{papersize=41.98cm,59.4cm}\else\special{papersize=59.4cm,41.98cm}\fi + \else\ifadrei + \ifposterdraft + \ifportrait\special{papersize=29.7cm,41.35cm}\else\special{papersize=41.98cm,29.0cm}\fi + \else + \ifportrait\special{papersize=29.7cm,41.98cm}\else\special{papersize=41.98cm,29.7cm}\fi + \fi + \else\relax + \fi + \fi + \fi + \fi +\fi +\pagestyle{empty}} + +\endinput +%% +%% End of file `a0poster.cls'. diff --git a/a0size.sty b/a0size.sty new file mode 100644 index 0000000..b3788c0 --- /dev/null +++ b/a0size.sty @@ -0,0 +1,252 @@ +%% +%% This is file `a0size.sty' (v1.22b) included in the a0poster package 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1.2\ht\z@} +\def\bBigg@#1#2{% + {\hbox{$\left#2\vcenter to#1\big@size{}\right.\n@space$}}} +\def\big{\bBigg@\@ne} +\def\Big{\bBigg@{1.5}} +\def\bigg{\bBigg@\tw@} +\def\Bigg{\bBigg@{2.5}} + +%% End of copy + +\DeclareMathSizes{24.88}{24.88}{20.74}{14.4} +\DeclareMathSizes{29.86}{29.86}{20.74}{14.4} +\DeclareMathSizes{35.83}{35.83}{24.88}{17.28} +\DeclareMathSizes{43.00}{43.00}{35.83}{24.88} +\DeclareMathSizes{51.6}{51.6}{35.83}{24.88} +\DeclareMathSizes{61.92}{61.92}{43}{29.86} +\DeclareMathSizes{74.3}{74.3}{51.6}{35.83} +\DeclareMathSizes{89.16}{89.16}{61.92}{43} +\DeclareMathSizes{107}{107}{74.3}{51.6} + +%% End of a0size.sty diff --git a/paper b/paper new file mode 160000 +Subproject 8316fb1d85d8e8acca59ca8405483ce10f4e818 diff --git a/poster_aps_mm_2020.tex b/poster_aps_mm_2020.tex new file mode 100644 index 0000000..7451fff --- /dev/null +++ b/poster_aps_mm_2020.tex @@ -0,0 +1,223 @@ +% +% poster_05.2014.tex - description +% +% Created by on Tue May 13 12:26:55 PDT 2014. +% Copyright (c) 2014 pants productions. All rights reserved. +% +\documentclass[portrait]{a0poster} + +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[]{amsmath} +\usepackage{amssymb,latexsym,mathtools,multicol,lipsum,wrapfig} +\usepackage[font=normalsize,labelfont=bf]{caption} +\usepackage{tgheros} +\usepackage[helvet]{sfmath} +\usepackage[export]{adjustbox} +\renewcommand*\familydefault{\sfdefault} + +\mathtoolsset{showonlyrefs=true} + + +\setlength\textwidth{194pc} +\begin{document} + +\setlength\columnseprule{2pt} +\setlength\columnsep{5pc} +\renewenvironment{figure} + {\par\medskip\noindent\minipage{\linewidth}} + {\endminipage\par\medskip} + + \renewcommand\section[1]{ + \vspace{3pc} + \noindent\huge\textbf{#1}\large + \vspace{1.5pc} + } + + \newcommand\unit[1]{\hat{\vec{#1}}} + \renewcommand\vec[1]{\boldsymbol{\mathbf{#1}}} + \newcommand\norm[1]{\|#1\|} + \def\rr{\rho} + \newcommand\abs[1]{|#1|} + \def\dd{\mathrm d} + \def\rec{\mathrm{rec}} +\def\CC{{C\kern-.05em\lower-.4ex\hbox{\cpp +\kern-0.05em+}} } +\font\cpp=cmr24 +\def\max{\mathrm{max}} + + \noindent\hspace{177pc}\includegraphics[width=18pc]{CULogo-red120px.eps} + \vspace{-24.5pc}\\ + \Huge \textbf{Elastic properties of hidden order in URu$_{\text2}$Si$_{\text2}$ are reproduced by\\ staggered nematic order} + \bigskip\\ + \huge \textbf{Jaron~Kent-Dobias, Michael Matty \& Brad J Ramshaw} + \vspace{1pc} + + + \begin{multicols}{2} + + \section{Introduction} + \Large + + \begin{wrapfigure}{r}{.25\textwidth} + \centering + %\includegraphics[width=0.25\textwidth]{imgs/crack.jpg} + \caption{Cracking in concrete.} + \end{wrapfigure} + + Understanding material cracking and fracture is necessary for + understanding the aging and failure of those materials in our buildings + and infrastructure. In ordinary brittle materials like glass, stress at + the tip of a crack causes it to quickly and cleanly propagate through the + material. In ductile materials like metals, this stress is reduced by + plastic deformation around the crack tip, forming the crack's + \textbf{process zone}. In quasi- (or disordered) brittle materials like + concrete, this stress is reduced by opening a complicated network of + microcracks in the process zone. This makes the structure of the + quasibrittle process zone and crack propagation + difficult to study by ordinary means. + + + \section{Fuse Networks} + + \begin{wrapfigure}{l}{.25\textwidth} + \centering + %\includegraphics[width=0.12\textwidth]{imgs/square_network.pdf} + %\includegraphics[width=0.12\textwidth]{imgs/square_high_beta.pdf}\\ + %\includegraphics[width=0.12\textwidth]{imgs/voronoi_network.pdf} + %\includegraphics[width=0.12\textwidth]{imgs/voronoi_high_beta.pdf} + \captionof{figure}{Contrasting the square (top) and voronoi (bottom) networks. {\bf Left:} Unbroken fuse networks. {\bf Right:} A + fracture surface in each at low disorder ($\beta=10$).} + \label{nets} + \end{wrapfigure} + + \Large + + We model quasibrittle cracking and fracture using simulations of fuse + networks, which are electrical systems of resistive fuses whose random + current thresholds $t$ are cumulatively distributed by $t^\beta$. $\beta$ + parameterizes the amount of disorder in the system: large + $\beta$ corresponds to vanishing disorder, small $\beta$ to very large + disorder. Fracture is performed adiabatically: the fuse whose ratio of + current to threshold is largest breaks, and the current across the + networks is recomputed. In order to reduce lattice effects, which become large for + small disorder (see Figure \ref{nets}), we use voronoi meshes for our fuse networks. + + + \section{Homogeneous Scaling} + + \begin{wrapfigure}{r}{0.25\textwidth} + \centering + %\includegraphics[width=0.25\textwidth]{imgs/ashivni.png} + \captionof{figure}{The `phase diagram' for fracture in homogeneous + systems.} + \label{ashivni} + \end{wrapfigure} + + \Large + + The problem of fracture in fuse networks was unresolved until recently. + For low disorder, fracture is nucleation-like, similar to that of ordinary + brittle systems. At large disorder, fracture occurs after a very large + amount of uncorrelated damage, and appears percolation-like. + Sethna and Shekhawat developed a theory which unifies these behaviors with + an {\sc rg} crossover at intermediate disorder characterized by mean-field + avalanches. The percolation-like behavior at high disorder was shown to + be unstable under course-graining, and therefore any nonzero $\beta$ + will cause nucleated fracture at a sufficiently large system size (see + Figure \ref{ashivni}). + + In unpublished work, Shekhawat and Sethna found a scaling form for the + distribution of network strengths $\sigma_\max$, the largest current + applied to the network before it has broken. It is given by + \begin{equation} + P(\sigma_\max\mid\beta, L,u)=\sigma_\max^{-\tau_\sigma}\mathcal P(\beta + L^{1/\nu_f},\sigma_\max L^\delta,uL^{-\Delta/\nu_f})\label{form} + \end{equation} + where $\tau_\sigma$, $\nu_f$, $\delta$ and $\Delta$ are universal + exponents, $L$ is the system size, and $u$ is an irrelevant scaling + variable. + + \begin{figure} + \vspace{1pc} + \centering + %\includegraphics[width=0.325\textwidth]{imgs/voronoi_homo_big.pdf} + %\includegraphics[width=0.325\textwidth]{imgs/voronoi_homo_med.pdf} + %\includegraphics[width=0.325\textwidth]{imgs/voronoi_homo_lit.pdf}\\ + \begin{minipage}[c]{0.325\textwidth}\centering$\pmb{\beta=3}$\end{minipage} + \begin{minipage}[c]{0.325\textwidth}\centering$\pmb{\beta=0.5}$\end{minipage} + \begin{minipage}[c]{0.325\textwidth}\centering$\pmb{\beta=0.03}$\end{minipage}\\ + \captionof{figure}{Fractured fuse networks at various $\beta$. Each colored region shows a + contiguous cracked cluster. The black region shows the surface of + the spanning crack.} + \label{homo} + \vspace{1pc} + \end{figure} + + + \section{Scaling in the Process Zone} + + \begin{figure} + \centering + %\includegraphics[width=0.245\textwidth]{imgs/sample_16.pdf} + %\includegraphics[width=0.245\textwidth]{imgs/sample_32.pdf} + %\includegraphics[width=0.245\textwidth]{imgs/sample_64.pdf} + %\includegraphics[width=0.245\textwidth]{imgs/sample_128.pdf}\\ + \begin{minipage}[c]{0.245\textwidth}\centering$\pmb{L=16,\;\beta=1.9}$\end{minipage} + \begin{minipage}[c]{0.245\textwidth}\centering$\pmb{L=32,\;\beta=1.2}$\end{minipage} + \begin{minipage}[c]{0.245\textwidth}\centering$\pmb{L=64,\;\beta=0.78}$\end{minipage} + \begin{minipage}[c]{0.245\textwidth}\centering$\pmb{L=128,\;\beta=0.5}$\end{minipage}\\ + \captionof{figure}{Notched fuse networks at critical stress. The + disorder for each system is tuned so that $\beta L^{1/\nu_f}$ is + constant, and the statistics of each should scale trivially.} + \vspace{1pc} + \label{notches} + \end{figure} + + \Large + We have made progress for developing a scaling theory of damage and stress + in the process zone of quasibrittle cracks. We have essentially taken the + scaling behavior of \eqref{form} as an ansatz for how the corresponding + qualities of a critically semi-cracked network should scale. We have + begun demonstrating the validity of this theory. Figure \ref{notches} + shows critically cracked networks at constant $\beta L^{1/\nu_f}$, an + invariant scaling combination under this theory. As can be seen in Figure + \ref{collapse}, the disorder-averaged stress profiles caused by each + collapses nicely. + + \begin{figure} + \centering + %\includegraphics[width=0.5\textwidth]{imgs/legends.pdf}\\ + \vspace{-.5em} + %\includegraphics[width=0.505\textwidth,valign=t]{imgs/sample_collapse_1.pdf}\hfill + %\includegraphics[width=0.48\textwidth,valign=t]{imgs/sample_collapse_2.pdf}\\ + \vspace{-.5em} + + \captionof{figure}{Disorder-averaged stress $\sigma$ as a function of + distance $x$ from the tip of a critical crack. $\beta L^{1/\nu_f}$ is + constant for each curve. \textbf{Left:} The unmodified stress. + \textbf{Right:} The stress collapsed.} + \label{collapse} + \end{figure} + + \section{Next Steps} + + \begin{wrapfigure}{r}{0.25\textwidth} + \centering + \vspace{-2em} + %\includegraphics[width=.25\textwidth]{imgs/voronoi_heir.pdf} + \captionof{figure}{A hierarchical voronoi lattice.} + \end{wrapfigure} + + \Large + + The voronoi networks we are able to generate allow us great flexibility + for future multiscale computational modelling. Once we have hashed out + our scaling theory more thoroughly, we plan on using it to probe much + larger systems than previously feasible using networks whose fuse density + becomes smaller in regions of less importance. This should allow us to + see cleaner stress and damage scaling and cleanly stitch our discrete system to a + continuum approximation. + + \end{multicols} +\end{document} + |