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      <title>TABLES1</title>
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      <div class="title_refTopic" id="xps10_pagetitle">TABLES1 </div>
      <hr noshade="true">
      <h4 class="refClassification">Material Property Table, Form 1 </h4>
      <p class="para_refTopic">Defines a tabular function for stress-dependent material properties such as the stress-strain curve (MATS1 entry), creep parameters (CREEP entry) and hyperelastic material parameters (MATHP 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="10.51*">
               <col span="1" width="9.94*">
               <col span="1" width="9.94*">
               <col span="1" width="9.94*">
               <col span="1" width="9.94*">
               <col span="1" width="9.94*">
               <col span="1" width="9.94*">
               <col span="1" width="9.94*">
               <col span="1" width="9.94*">
               <col span="1" width="9.94*">
            </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">TABLES1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">TID </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" 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">&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="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">TABLES1 </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">0.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">0.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.01 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">10000. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">.02 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">15000. </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="20.25*">
               <col span="1" width="79.75*">
            </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">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_12.html#ref67107');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_12.html#ref67107');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. 
               </p>
            </li>
            <li>
               <p class="para_item">At least one continuation entry must be present. </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 used for that entry. </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 ENDT. </p>
            </li>
            <li>
               <p class="para_item">TABLES1 is used to input a curve in the form of </p>
               <p align="center"><img align="bottom" src="graphics/bulktuv-equ24.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_12.html#ref67107');return(false);">Figure 19-</a>.  No warning messages are issued if table data is input incorrectly. 
               </p><a name="ref67107"></a><div class="figure">
                  <p align="center"><img align="bottom" src="graphics/bulktuv-fig08.gif"></p>
               </div>
               <div class="title_figure">Figure. Example of Table Extrapolation and Discontinuity </div>
            </li>
            <li>
               <p class="para_item">Discontinuities are not recommended and may lead to unstable results. Discontinuities are not allowed in nonlinear solution sequences. </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">Discontinuities are not allowed. </p>
            </li>
            <li>
               <p class="para_item">By default, the table is extended by linear extrapolation using the last two end points. XTCURVE=0 may be specified in NXSTRAT to choose not to extend the table to allow for element rupture at the last xi value which defines the rupture plastic strain when the multilinear plastic material is used (i.e., TABLES1 is referenced by TID field in MATS1 with TYPE = &ldquo;PLASTIC&rdquo;), Upon rupture, an element is removed from the model. If DTDELAY is specified in NXSTRAT entry, the contribution from the element stiffness is gradually reduced to zero over time DTDELAY.</p>
            </li>
            <li>
               <p class="para_item">By default, xi, yi are assumed to be true stress-strain values. In case the input is in engineering stress-strain values, specifying CVSSVAL=1 in NXSTRAT provides a convenient way to convert the engineering stress-strain values to true stress-strain values for use in the analysis.</p>
            </li>
         </ol>
      </div>
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