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      <div class="title_refTopic" id="xps10_pagetitle">MAT9 </div>
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      <h4 class="refClassification">Solid Element Anisotropic Material Property Definition </h4>
      <p class="para_refTopic">Defines the material properties for linear, temperature-independent, anisotropic materials for solid isoparametric elements (see PSOLID entry description). </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
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                  <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">MAT9 </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">G11 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G12 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G13 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G14 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G15 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G16 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G22 </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">G23 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G24 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G25 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G26 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G33 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G34 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G35 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G36 </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">G44 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G45 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G46 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G55 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G56 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">G66 </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">A1 </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">A2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">A3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">A4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">A5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">A6 </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>
                  <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">
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                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">MAT9 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">17 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">6.2+3 </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">&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">6.2+3 </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">&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">6.2+3 </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">&nbsp; </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">5.1+3 </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">5.1+3 </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">5.1+3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">3.2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">6.5-6 </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">6.5-6 </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">&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">125. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.003 </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>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Fields:</div>
      <div class="refCategoryContent">
         <table cellpadding="9" width="100%" align="center">
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               <col span="1" width="84*">
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            <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">Gij </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Elements of the 6 × 6 symmetric material property matrix in the material coordinate system.  (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">Ai </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Thermal expansion coefficient.  (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 thermal loads, or a temperature-dependent thermal expansion coefficient.  See Remark 7. (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 6 and 8. (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 numbers must be unique for all MAT1, MAT2, MAT3, and MAT9 entries. </p>
            </li>
            <li>
               <p class="para_item">MAT9 materials may be made temperature-dependent by use of the MATT9 entry.  In nonlinear static analysis (e.g., 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">The mass density RHO will be used to compute mass in a structural dynamics problem automatically. </p>
            </li>
            <li>
               <p class="para_item">The third continuation entry is optional. </p>
            </li>
            <li>
               <p class="para_item">The subscripts 1 through 6 refer to x, y, z, xy, yz, and zx of the material coordinate system (see the CORDM field on the PSOLID entry description).  The stress-strain relationship is </p>
               <p align="center"><img align="bottom" src="graphics/bulkmno-equ07.gif"></p>
            </li>
            <li>
               <p class="para_item">The damping coefficient GE is given by </p>
               <p align="center"><img align="bottom" src="graphics/bulkmno-equ08.gif"></p>
            </li>
            <li>
               <p class="para_item">TREF is used in two different ways: </p>
               <ul>
                  <li>
                     <p class="para_item">In nonlinear static analysis (e.g., 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 in the MAT1 description. </p>
                  </li>
                  <li>
                     <p class="para_item">In all solutions except nonlinear static analysis, 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 then 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>
      <div class="title_refCategory">Remarks related to SOLs 601 and 701: </div>
      <div class="refCategoryContent">
         <ol type="1" start="1">
            <li>
               <p class="para_item">MAT9 defines an orthotropic material for SOLs 601 and 701 with properties calculated from G11, G12, G13, G22, G23, G33, G44, G44, G55, and G66. See Section 3.2.2 of the Advanced Nonlinear Theory and Modeling Guide. </p>
            </li>
            <li>
               <p class="para_item">G14, G15, G16, G24, G25, G26, G34, G35, G36, G45, G46, G56, A4, A5, A6, and GE are ignored. </p>
            </li>
            <li>
               <p class="para_item">A1, A2, A3, and TREF are used only when MAT9 is made temperature dependent by use of the MATT9 entry. </p>
            </li>
         </ol>
      </div>
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