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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>3.3 Two-dimensional stresses  TRSTXX</TITLE><LINK REL=STYLESHEET TYPE="text/css"	HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value="3.3 Two-dimensional stresses  TRSTXX"><meta name="keywords" value="Guide6"><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=tex2html974 HREF="node41.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html980 HREF="node39.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html982 HREF="node43.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html984 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A HREF="../Guide6-18/node42.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide6-14/node42.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide6-10/node42.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html983 HREF="node43.html">3.4 Three-dimensional solutions  TRC3XX</A><B>Up: </B> <A NAME=tex2html981 HREF="node39.html">3 Visualization of solutions</A><B> Prev: </B> <A NAME=tex2html975 HREF="node41.html">3.2 Two-dimensional solutions  TRMCXX</A><B><A HREF="node2.html"	>Contents</A></B><HR SIZE=3 WIDTH="75&#37;"><H1><A NAME=SECTION04430000000000000000>3.3 Two-dimensional stresses  TRSTXX</A></H1><P><P><P><H2><A NAME=SECTION04431000000000000000>3.3.1 Aim and utilization limits</A></H2><P><P><P>Preprocessor <b> TRSTXX</b> is used to visualize meshes and the corresponding stressesfor a two-dimensional elasticity problem. The stresses are contained in a <b> TAE</b> data structureobtained by combining the solutions (displacements) with the element stresses  computed at the same time asthe element  matrices  and right-hand-sides(see part 1 of this user guide).<P> The module is used to visualize the stresses as follows:<UL><LI> by plotting the  principal stresses in terms of arrows.<LI> by plotting  (in the form of more or less dense hatching or in color) the module associated withthe stresses.   The module  corresponds to the following criteria:<UL><LI> Tresca, which is written as follows in the case of plane stresses:<P><DIV ALIGN=center><IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img82.gif"></DIV><P>and in the case of plane deformations:<P><DIV ALIGN=center><IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img83.gif"></DIV><P>where <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img84.gif"> for the isotropic case, and     <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img85.gif"> for the orthotropic case. Thepurely anisotropic  case is not considered.<P><LI> Von-Mises, which is written as follows in the case of plane stresses:<P> <DIV ALIGN=center><IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img86.gif"></DIV><P>and in the case of plane deformations:<P> <DIV ALIGN=center><IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img87.gif"></DIV><P>where <IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img88.gif"> is defined above.</UL></UL><P>The user can also visualize the plastic zones when considering a plastic problem.In this case, the  Von-Mises or Drucker-Prager criterion is used to determine theplastic zones.<P>In addition,  the user can  also visualize the temperatures and flux obtained when considering athermal problem with mixed finite elements. The temperatures or flux  are contained in a<b> TAE</b> data structure obtained by combining the  solutions  (flux or temperatures) with the element  temperatures or fluxcomputed at the same time as the element matrices and right-hand-sides (seepart 1 of this user guide).<P><P><P><H2><A NAME=SECTION04432000000000000000>3.3.2 Utilization of  TRSTXX</A></H2><P><P><P><OL><LI> Activate preprocessor <b> TRSTXX</b>.<P><LI> Choose the output terminal.<P><LI> Enter the names of the files containing the mesh (D.S. <b> MAIL</b> and <b> COOR</b>).<P><LI> The menu appears (see below).<P><LI> An automatic plot (<b> mesh only</b>) is obtained by typing 0.<P><LI> The values of the visualization parameters are obtained by typing V.<P><LI> Modify, if necessary, these values by choosing the corresponding key and entering the requested information.Once the desired state is obtained, type 0 to display the plot.<b> In particular</b>, key  10 is used to plot the solution associated with the mesh(stresses, temperatures flux or plastic zones) and to choose thetype of plot desired. In this case, enter the name of the file containing the solution (D.S. <b> TAE</b>)followed by the type.<P><LI> A graphics menu is available on the plot which enables the user to perform modifications to the plot, toquit, or to return to the menu mentioned above and described in the sections which follow.<P></OL><P><P><P><H2><A NAME=SECTION04433000000000000000>3.3.3 Complete description of  TRSTXX</A></H2><P><P><P>In practice, we use preprocessor <b> TRSTXX</b> to indicate  to the module the different choices made from thepossibilities offered.<P>The module computes the extrema corresponding to the mesh and solution automatically so that thecorners of the box in which the plot will be displayed can be defined.<P><P><P>The menu of TRSTRE (module called to visualize the stresses or plastic zones) is shown below:To visualize the temperatures or flux, module TRFLUX is used (see further down).<P><PRE> -------------------------------------------------------- | 10 | PLOT TYPE                 |  MESH ONLY -------------------------------------------------------- | 11 | DEVICE NUMBER             |       1 -------------------------------------------------------- | 12 | PLOT TITLE                | -------------------------------------------------------- | 20 | D.S. MAIL TO PLOT         |  carre.mail -------------------------------------------------------- | 20 | D.S. COOR TO PLOT         |  carre.coor -------------------------------------------------------- | 31 | QUESTIONS ABOUT A D.S.    |   NO -------------------------------------------------------- | 30 | PLOT SIZE                 |  AUTO -------------------------------------------------------- | 40 | CHARACTER TYPE            |  HARD -------------------------------------------------------- | 50 | ITEMS TO PLOT             |  TRIANGULATION -------------------------------------------------------- | 60 | LEGEND                    |  YES -------------------------------------------------------- | 70 | NUMBER                    |  NONE -------------------------------------------------------- | 80 | LINE TYPE (MESH)          |  SOLID --------------------------------------------------------</PRE><P>A default value  is proposed for each option. By default, only the mesh is visualized. Toview the stresses, plastic zones, flux or temperatures as well, key 10 must be selected.The above table lists the selections made automatically. Type 0 toobtain a plot.<P>A key (a number) and a status correspond to each item. To modify the status, it suffices to type thekey and enter the values corresponding to the status desired  (see the general introduction).The list of keys is given below:<P><DL COMPACT><DT>Key 10:<DD>  the plot type: mesh only (default value), we can also plot:<UL><LI>  (1) stresses or plastic zones<LI>  (2) temperatures<LI>  (3) flux</UL><DT>Key 11:<DD> the device number.<DT>Key 12:<DD> the title which will appear on the plot in the general legend part (there is no title by default).<DT>Key 20:<DD> the names of the files containing the mesh (D.S. <b> MAIL</b> and <b> COOR</b>). To change files, we activate this key and input thenew file names.<DT>Key 31:<DD> by activating this key, we can &quot;inquire&quot; about the D.S. and obtain information regarding their contents.<DT>Key 30:<DD> the plot will be full screen, otherwise the user must specify the size in cm.<DT>Key 40:<DD> the type of characters plotted: hardware (by default), software if not.<DT>Key 50:<DD> the choice of items to plot: the triangulation (by default). By activating this key, we have a choice between:<PRE>  -- MESH     NOTHING                 : 0     TRIANGULATION           : 1     GEOMETRIC BOUNDARY      : 2     REFERENCED BOUNDARY     : 3     SHRINK                  : 4  ?</PRE>The shrink operation consists of contracting, by a given ratio (0.8 by default, valuemodified via key 23), each element with respect to its barycentre.<DT>Key 60:<DD> the general legend (there is a legend by default) corresponds to theindications appearing to the right of the plot (see examples: title, date, file name, ...).<DT>Key 70:<DD> the numbers to be displayed, none (by default) or, by activating this key, thechoice between:<P><PRE>    NO NUMBER          : 0    ELEMENT : 1 - POINT: 2 - NODE  : 3    SUBDOMAIN          : 4    REFERENCE (ALL)    : 5    REFERENCE POINTS   : 6 - NODES : 7    REFERENCE EDGES    : 8</PRE><DT>Key 80:<DD> the type of plot lines desired: solid (by default) or, by activating this key, the choice between:<PRE>    SOLID      : 1  --   DOTTED    : 2    DASHED     : 3  --   MIXED     : 4 ?</PRE><P> </DL><P><P><P>Once a plot is displayed on the screen, a <i> graphics</i> menu appears, as for the other modules, which allows us to:<P><UL><LI>  Exit (0) from the session,<LI>  Continue (1), i.e., return to the module's main menu;

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