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      <title>TABLEM2</title>
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      <div class="title_refTopic" id="xps10_pagetitle">TABLEM2 </div>
      <hr noshade="true">
      <h4 class="refClassification">Material Property Table, Form 2 </h4>
      <p class="para_refTopic">Defines a tabular function for use in generating temperature-dependent material properties.  Also contains parametric data for use with the table. </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="11.19*">
               <col span="1" width="9.87*">
               <col span="1" width="9.87*">
               <col span="1" width="9.87*">
               <col span="1" width="9.87*">
               <col span="1" width="9.87*">
               <col span="1" width="9.87*">
               <col span="1" width="9.87*">
               <col span="1" width="9.87*">
               <col span="1" width="9.87*">
            </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">TABLEM2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TID </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X1 </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" 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" 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">&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">x1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">y1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">x2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">y2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">x3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">y3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">-etc.- </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">Example: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="11.36*">
               <col span="1" width="9.85*">
               <col span="1" width="9.85*">
               <col span="1" width="9.85*">
               <col span="1" width="9.85*">
               <col span="1" width="9.85*">
               <col span="1" width="9.85*">
               <col span="1" width="9.85*">
               <col span="1" width="9.85*">
               <col span="1" width="9.85*">
            </colgroup>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">TABLEM2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">15 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">-10.5 </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">&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">1.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">-4.5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">2.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">-4.5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">2.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">2.8 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">7.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">6.5 </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">SKIP </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">SKIP </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">9.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">6.5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">ENDT </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>
            </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="21.77*">
               <col span="1" width="78.23*">
            </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">TID </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Table identification number.  (Integer &gt; 0) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">X1 </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Table parameter.  (Real) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">xi, yi </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Tabular values.  (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">xi must be in either ascending or descending order, but not both. </p>
            </li>
            <li>
               <p class="para_item">Discontinuities may be specified between any two points except the two starting points or two end points.  For example, in <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/20topic_9.html#ref67885');return(false);">Figure 19-</a>, discontinuities are allowed only between points x2 through x7.  Also, if y is evaluated at a discontinuity, then the average value of y is used.  In <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/20topic_9.html#ref67885');return(false);">Figure 19-</a>, is <em>y</em>=(<em>y</em>3+<em>y</em>4) / 2. 
               </p>
            </li>
            <li>
               <p class="para_item">At least one continuation entry must be specified. </p>
            </li>
            <li>
               <p class="para_item">Any xi-yi pair may be ignored by placing &ldquo;SKIP&rdquo; in either of the two fields. </p>
            </li>
            <li>
               <p class="para_item">The end of the table is indicated by the existence of &ldquo;ENDT&rdquo; in either of the two fields following the last entry.  An error is detected if any continuations follow the entry containing the end-of-table flag &ldquo;ENDT&rdquo;. </p>
            </li>
            <li>
               <p class="para_item">TABLEM2 uses the algorithm </p>
               <p align="center"><img align="bottom" src="graphics/bulktuv-equ21.gif"></p>
               <p class="para_item">where x is input to the table, y is returned and z is supplied from the MATi entry.  The table look-up is performed using linear interpolation within the table and linear extrapolation outside the table using the two starting or end points.  See <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/20topic_9.html#ref67885');return(false);">Figure 19-</a>.  No warning messages are issued if table data is input incorrectly. 
               </p><a name="ref67885"></a><div class="figure">
                  <p align="center"><img align="bottom" src="graphics/bulktuv-fig06.gif"></p>
               </div>
               <div class="title_figure">Figure. Example of Table Extrapolation and Discontinuity </div>
            </li>
         </ol>
      </div>
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