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      <title>TABLEM1</title>
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      <div class="title_refTopic" id="xps10_pagetitle">TABLEM1 </div>
      <hr noshade="true">
      <h4 class="refClassification">Material Property Table, Form 1 </h4>
      <p class="para_refTopic">Defines a tabular function for use in generating temperature-dependent material properties. </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="1177*">
               <col span="1" width="982*">
               <col span="1" width="970*">
               <col span="1" width="982*">
               <col span="1" width="982*">
               <col span="1" width="982*">
               <col span="1" width="982*">
               <col span="1" width="970*">
               <col span="1" width="982*">
               <col span="1" width="982*">
            </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">TABLEM1 </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">XAXIS </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">YAXIS </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">xI </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">&ldquo;ENDT&rdquo; </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="1190*">
               <col span="1" width="981*">
               <col span="1" width="969*">
               <col span="1" width="981*">
               <col span="1" width="981*">
               <col span="1" width="981*">
               <col span="1" width="981*">
               <col span="1" width="969*">
               <col span="1" width="981*">
               <col span="1" width="981*">
            </colgroup>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">TABLEM1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">32 </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>
                  <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">-3.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">6.9 </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">5.6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">3.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">5.6 </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>
               </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="17.43*">
               <col span="1" width="82.57*">
            </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">XAXIS </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Specifies a linear or logarithmic interpolation for the x-axis.  See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/20topic_8.html#ref88421');return(false);">9-6. </a> (Character:  &ldquo;LINEAR&rdquo; or &ldquo;LOG&rdquo;; Default=&ldquo;LINEAR&rdquo;) 
                     </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">YAXIS </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Specifies a linear or logarithmic interpolation for the y-axis.  See Remark <a class="links" href="javascript:void(0)" onclick="top.openFile('QRG/20topic_8.html#ref88421');return(false);">9-6. </a> (Character:  &ldquo;LINEAR&rdquo; or &ldquo;LOG&rdquo;; Default=&ldquo;LINEAR&rdquo;) 
                     </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>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&ldquo;ENDT&rdquo; </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Flag indicating the end of the table. </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_8.html#ref65237');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_8.html#ref65237');return(false);">Figure 19-</a>, the value of y at x = x3 is <em>y</em> = (<em>y</em>3+<em>y</em>4) / 2<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><a name="ref88421"></a><p class="para_item">TABLEM1 uses the algorithm </p>
               <p align="center"><img align="bottom" src="graphics/bulktuv-equ16.gif"></p>
               <p class="para_item">where <em>x</em> is input to the table and <em>y</em> is returned.  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_8.html#ref65237');return(false);">Figure 19-</a>.  The algorithms used for interpolation or extrapolation are: 
               </p>
               <table border="1" cellpadding="9" width="100%" align="center">
                  <colgroup span="1">
                     <col span="1" width="18.85*">
                     <col span="1" width="18.57*">
                     <col span="1" width="62.59*">
                  </colgroup>
                  <thead>
                     <tr>
                        <th align="center" colspan="1" rowspan="1">
                           <p class="para_th">XAXIS </p>
                        </th>
                        <th align="center" colspan="1" rowspan="1">
                           <p class="para_th">YAXIS </p>
                        </th>
                        <th align="center" colspan="1" rowspan="1">
                           <p class="para_th">y<sub class="subscript">T</sub>(x) 
                           </p>
                        </th>
                     </tr>
                  </thead>
                  <tbody>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">LINEAR </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">LINEAR </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p align="center"><img align="bottom" src="graphics/bulktuv-equ17.gif"></p>
                        </td>
                     </tr>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">LOG </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">LINEAR </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p align="center"><img align="bottom" src="graphics/bulktuv-equ18.gif"></p>
                        </td>
                     </tr>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">LINEAR </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">LOG </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p align="center"><img align="bottom" src="graphics/bulktuv-equ19.gif"></p>
                        </td>
                     </tr>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">LOG </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">LOG </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p align="center"><img align="bottom" src="graphics/bulktuv-equ20.gif"></p>
                        </td>
                     </tr>
                  </tbody>
               </table><br><p class="para_item">where xj and yj follow xi and yi. </p>
               <p class="para_item">No warning messages are issued if table data is input incorrectly. </p><a name="ref65237"></a><div class="figure">
                  <p align="center"><img align="bottom" src="graphics/bulktuv-fig05.gif"></p>
               </div>
               <div class="title_figure">Figure. Example of Table Extrapolation and Discontinuity </div>
            </li>
            <li>
               <p class="para_item">Tabular values on an axis if XAXIS or YAXIS=LOG must be positive.  A fatal message will be issued if an axis has a tabular value &le; 0. </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">XAXIS and YAXIS are ignored. Both are assumed to be &ldquo;LINEAR&rdquo;. </p>
            </li>
            <li>
               <p class="para_item">Discontinuities are not allowed. </p>
            </li>
            <li>
               <p class="para_item">No table extrapolation is done beyond the range of specified xi values. Hence, the xi values should at least span the range of applied temperatures. </p>
            </li>
         </ol>
      </div>
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