<!DOCTYPE html
  PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">

<!--
Copyright (c) 2006 UGS Corp.

All Rights Reserved.

This software and related documentation are proprietary to UGS Corp.
-->
<html>
   <head>
      <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
      <title>MAT3</title>
      <script language="javaScript">
        abridged="false";
        displayConditions=new Array();
      </script>
      <link type="text/css" href="../css/main_styles.css" rel="stylesheet">
   </head>
   <body class="bodydocs" onload="top.pageLoader()" bgcolor="#FFFFFF">
      <hr noshade="true">
      <div class="title_refTopic" id="xps10_pagetitle">MAT3 </div>
      <hr noshade="true">
      <h4 class="refClassification">CTRIAX6 Material Property Definition </h4>
      <p class="para_refTopic">Defines the material properties for linear orthotropic materials used by the CTRIAX6 element entry. </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="9.75*">
               <col span="1" width="9.75*">
               <col span="1" width="9.75*">
               <col span="1" width="10*">
               <col span="1" width="9.24*">
               <col span="1" width="10.76*">
               <col span="1" width="10.76*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
            </colgroup>
            <thead>
               <tr>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">1 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">2 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">3 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">4 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">5 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">6 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">7 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">8 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">9 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">10 </p>
                  </th>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">MAT3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">MID </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EX </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">ETH </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EZ </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NUXTH </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NUTHZ </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NUZX </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">RHO </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">GZX </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">AX </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">ATH </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">AZ </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TREF </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">GE </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Example: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
               <col span="1" width="10*">
            </colgroup>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">MAT3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">23 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.0+7 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.1+7 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.2+7 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.25 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.27 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.0-5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">2.5+6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.0-4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.0-4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.1-4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">68.5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.23 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Fields:</div>
      <div class="refCategoryContent">
         <table cellpadding="9" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="28.16*">
               <col span="1" width="71.84*">
            </colgroup>
            <thead>
               <tr>
                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Field </b></p>
                  </th>
                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Contents </b></p>
                  </th>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">MID </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Material identification number.  (Integer &gt; 0) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">EX, ETH, EZ </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Young&rsquo;s moduli in the <em>x</em>, &theta;, and <em>z</em> directions, respectively.  (Real &gt; 0.0) 
                     </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NUXTH, NUTHZ, NUZX </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Poisson&rsquo;s ratios (coupled strain ratios in the <em>x</em>&theta;, <em>z</em>&theta;, and <em>zx</em> directions, respectively).  (Real) 
                     </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">RHO </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Mass density.  (Real) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">GZX </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Shear modulus.  (Real &gt; 0.0) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">AX, ATH, AZ </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Thermal expansion coefficients.  (Real) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">TREF </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Reference temperature for the calculation of thermal loads or a temperature-dependent thermal expansion coefficient.  See Remark 10. (Real or blank) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">GE </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Structural element damping coefficient.  See Remarks 9 and 11. (Real) </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Remarks: </div>
      <div class="refCategoryContent">
         <ol type="1" start="1">
            <li>
               <p class="para_item">The material identification number must be unique with respect to the collection of all MAT1, MAT2, MAT3, and MAT9 entries. </p>
            </li>
            <li>
               <p class="para_item">MAT3 materials may be made temperature dependent by use of the MATT3 entry.  In SOL 106, linear and nonlinear elastic material properties in the residual structure will be updated as prescribed under the TEMPERATURE Case Control command. </p>
            </li>
            <li>
               <p class="para_item">All seven of the numbers EX, ETH, EZ, NUXTH, NUTHZ, NUZX, and GZX must be present. </p>
            </li>
            <li>
               <p class="para_item">A warning message will be issued if any value of NUXTH or NUTHZ has an absolute value greater than 1.0. </p>
            </li>
            <li>
               <p class="para_item">MAT3 materials may only be referenced by the CTRIAX6 entry. </p>
            </li>
            <li>
               <p class="para_item">The mass density RHO will be used to automatically compute mass for the CTRIAX6 element. </p>
            </li>
            <li>
               <p class="para_item">The x-axis lies along the material axis (see <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/14topic_37.html#ref69905');return(false);">Figure 13-</a> in the CTRIAX6 entry).  The &theta;-axis lies in the azimuthal direction.  The z-axis is normal to both. 
               </p>
            </li>
            <li>
               <p class="para_item">The strain-stress relationship is </p>
               <p align="left"><img align="bottom" src="graphics/bulkmno-equ03.gif"></p>
               <p class="para_item">Note that </p>
               <p class="para_item"><img align="bottom" src="graphics/bulkmno-equ04.gif" border="0"></p>
               <p class="para_item"><img align="bottom" src="graphics/bulkmno-equ05.gif" border="0"></p>
            </li>
            <li>
               <p class="para_item">To obtain the damping coefficient GE, multiply the critical damping ratio <em>C/C</em><sub class="subscript">o</sub> by 2.0. 
               </p>
            </li>
            <li>
               <p class="para_item">TREF is used for two different purposes: </p>
               <ul>
                  <li>
                     <p class="para_item">In nonlinear static analysis (SOL 106), TREF is used only for the calculation of a temperature-dependent thermal expansion coefficient.  The reference temperature for the calculation of thermal loads is obtained from the TEMPERATURE(INITIAL) set selection.  See Remark 10 under the MAT1 description. </p>
                  </li>
                  <li>
                     <p class="para_item">In all SOLs except 106, TREF is used only as the reference temperature for the calculation of thermal loads.  TEMPERATURE(INITIAL) may be used for this purpose, but TREF must be blank. </p>
                  </li>
               </ul>
            </li>
            <li>
               <p class="para_item">If PARAM,W4 is not specified, GE is ignored in transient analysis.  See &ldquo;<b class="uiTerm">Parameters </b>&rdquo;.
               </p>
            </li>
         </ol>
      </div>
   </body>
</html>