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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 3.2 Final//FR"><!-- Converted with LaTeX2HTML 95.1 (Fri Jan 20 1995) --><!-- by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds --><!-- Modified Simulog 03/97 --><HTML><HEAD><TITLE>2.3 Test 2: 2D Elasticity Problem with plane deformation</TITLE><LINK REL=STYLESHEET TYPE="text/css" HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value="2.3 Test 2: 2D Elasticity Problem with plane deformation"><meta name="keywords" value="Guide1"><meta name="resource-type" value="document"><meta name="distribution" value="global"></HEAD><BODY BGCOLOR="#FFFFFF"><P> <IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM ALT="Modulef"><A NAME=tex2html425 HREF="node18.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif" ALT="previous"></A><A NAME=tex2html431 HREF="node16.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif" ALT="up"></A><A NAME=tex2html433 HREF="node20.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif" ALT="next"></A><A NAME=tex2html435 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif" ALT="contents"></A><A HREF="../Guide1-18/node19.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM ALT="[BIG]"></A><A HREF="../Guide1-14/node19.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM ALT="[Normal]"></A><A HREF="../Guide1-10/node19.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html434 HREF="node20.html">2.4 Test 3: Plate problem</A><B>Up: </B> <A NAME=tex2html432 HREF="node16.html">2 Conversational tests</A><B> Prev: </B> <A NAME=tex2html426 HREF="node18.html">2.2 Test 1: Thermal Problem</A><B><A HREF="node2.html" >Contents</A></B><HR SIZE=3 WIDTH="75%"><H1><A NAME=SECTION04230000000000000000>2.3 Test 2: 2D Elasticity Problem with plane deformation</A></H1><P><P><P><H2><A NAME=SECTION04231000000000000000>2.3.1 Description</A></H2><P><P><P>Calculate the displacements and the distribution of stresses for the lever, shown below in figure <A HREF="node19.html#fig4">2.8</A>, submitted to a point force.<P><P><A NAME=2274> </A><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img174.gif"><BR><STRONG>Figure 2.8:</STRONG> <i> Lever</i><A NAME=fig4> </A><BR><P><P>Constraints:<UL><LI> All the nodes situated on the circle, <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img133.gif">, of radius <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img175.gif"> have zero displacement in <b>y</b>. <LI> All the nodes situated on the circle, <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img134.gif">, of radius <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img176.gif"> have zero radial displacement.</UL><P><P><P><H2><A NAME=SECTION04232000000000000000>2.3.2 The boundary value problem</A></H2><P><P><P><DIV ALIGN=center><IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img177.gif"></DIV><P>where<P><DL COMPACT><DT><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img178.gif"><DD> are Lam⌨️ 快捷键说明
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