


{"id":391083,"date":"2024-10-23T16:06:57","date_gmt":"2024-10-23T16:06:57","guid":{"rendered":"https:\/\/innovationspace.ansys.com\/forum\/forums\/topic\/on-the-calculation-of-the-strain-tensor-in-ls-prepost\/"},"modified":"2024-10-23T16:06:57","modified_gmt":"2024-10-23T16:06:57","slug":"on-the-calculation-of-the-strain-tensor-in-ls-prepost","status":"publish","type":"topic","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/topic\/on-the-calculation-of-the-strain-tensor-in-ls-prepost\/","title":{"rendered":"On the calculation of the strain tensor in ls-prepost"},"content":{"rendered":"<p>&lt;p&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;0:3&#8243;&gt;My&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;4:6&#8243;&gt;question&lt;\/span&gt;&nbsp;is&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;11:12&#8243;&gt;regarding&lt;\/span&gt;&nbsp;the&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;24:10&#8243;&gt;calculation&lt;\/span&gt;&nbsp;of the&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;43:10&#8243;&gt;strain&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;35:7&#8243;&gt;tensor&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;54:1&#8243;&gt;in&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;56:2&#8243;&gt;LS&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;58:1&#8243;&gt;-&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;59:7&#8243;&gt;prepost&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;66:1&#8243;&gt;.&lt;\/span&gt;&nbsp;Let&#8217;s&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;68:10&#8243;&gt;consider&lt;\/span&gt;&nbsp;the&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;79:6&#8243;&gt;problem&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;86:1&#8243;&gt;of&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;88:6&#8243;&gt;pure&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;95:6&#8243;&gt;shear&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;102:1&#8243;&gt;in&lt;\/span&gt;&nbsp;a&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;104:7&#8243;&gt;linearly&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;112:7&#8243;&gt;elastic&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;120:10&#8243;&gt;formulation&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;131:1&#8243;&gt;(&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;132:1&#8243;&gt;*&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;133:11&#8243;&gt;MAT_ELASTIC&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;144:1&#8243;&gt;)&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;145:1&#8243;&gt;.&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;149:12&#8243;&gt;According&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;147:1:162:1&#8243;&gt;to&lt;\/span&gt;&nbsp;the&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;172:9&#8243;&gt;material&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;164:7&#8243;&gt;model&lt;\/span&gt;, the&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;183:9&#8243;&gt;shear&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;193:10&#8243;&gt;components&lt;\/span&gt;&nbsp;of&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;213:10&#8243;&gt;stress&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;224:1&#8243;&gt;and&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;226:10&#8243;&gt;strain&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;204:8&#8243;&gt;tensors&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;237:6&#8243;&gt;should&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;244:13&#8243;&gt;oscillate&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;257:1&#8243;&gt;.&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;260:13&#8243;&gt;Indeed&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;273:1&#8243;&gt;,&lt;\/span&gt;&nbsp;the&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;275:9&#8243;&gt;shear&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;285:10&#8243;&gt;components&lt;\/span&gt;&nbsp;of the stress&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;296:19&#8243;&gt;tensors&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;316:1&#8243;&gt;(&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;317:7&#8243;&gt;element&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;325:4&#8243;&gt;time&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;330:7&#8243;&gt;history&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;337:1&#8243;&gt;)&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;339:1&#8243;&gt;and&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;341:7&#8243;&gt;elastic&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;349:10&#8243;&gt;deformations&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;360:1&#8243;&gt;(&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;361:6&#8243;&gt;fringe&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;368:9&#8243;&gt;component&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;377:1&#8243;&gt;)&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;379:10&#8243;&gt;oscillate&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;389:1&#8243;&gt;,&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;391:6&#8243;&gt;but&lt;\/span&gt;&nbsp;the&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;398:9&#8243;&gt;shear&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;408:10&#8243;&gt;component&lt;\/span&gt;&nbsp;of the&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;427:10&#8243;&gt;strain&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;419:7&#8243;&gt;tensor&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;438:1&#8243;&gt;(&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;439:7&#8243;&gt;element&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;447:4&#8243;&gt;time&lt;\/span&gt;&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;452:7&#8243;&gt;history&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;459:1&#8243;&gt;)&lt;\/span&gt;&nbsp;is&nbsp;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;461:9&#8243;&gt;monotonous&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;470:1&#8243;&gt;. &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;25:11&#8243;&gt;Agree&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;38:3&#8243;&gt;that&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;42:5&#8243;&gt;such&lt;\/span&gt; a &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;48:7&#8243;&gt;difference&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;56:1&#8243;&gt;in&lt;\/span&gt; the &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;58:13&#8243;&gt;interpretation&lt;\/span&gt; of the &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;81:10&#8243;&gt;strain&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;72:7&#8243;&gt;tensor&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;92:1&#8243;&gt;in&lt;\/span&gt; a &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;94:8&#8243;&gt;linear&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;103:10&#8243;&gt;formulation&lt;\/span&gt; is &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;114:8&#8243;&gt;rather&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;123:6&#8243;&gt;ridiculous&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;129:1&#8243;&gt;.&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;131:9&#8243;&gt;Moreover&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;140:1&#8243;&gt;,&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;142:3&#8243;&gt;the&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;146:8&#8243;&gt;problem&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;166:8&#8243;&gt;disappears&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;155:10&#8243;&gt;immediately&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;176:4&#8243;&gt;if&lt;\/span&gt; we &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;182:7&#8243;&gt;build&lt;\/span&gt; a &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;198:10&#8243;&gt;strain&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;191:6:209:15&#8243;&gt;tensor&lt;\/span&gt; by confrontational &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;225:15&#8243;&gt;integration&lt;\/span&gt; of the strain &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;251:9&#8243;&gt;rate&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;242:7:261:10&#8243;&gt;tensor&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;272:1&#8243;&gt;(&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;273:1&#8243;&gt;in&lt;\/span&gt; the &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;275:6&#8243;&gt;sense&lt;\/span&gt; of &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;282:7&#8243;&gt;Jaumann&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;289:1&#8243;&gt;)&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;290:1&#8243;&gt;.&lt;\/span&gt; The &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;293:12&#8243;&gt;correctness&lt;\/span&gt; of &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;306:6&#8243;&gt;this&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;313:7&#8243;&gt;approach&lt;\/span&gt; is &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;321:14&#8243;&gt;confirmed&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;337:1&#8243;&gt;in&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;339:2&#8243;&gt;LS&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;341:1&#8243;&gt;-&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;342:4&#8243;&gt;DYNA&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;347:6&#8243;&gt;Theory&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;354:6&#8243;&gt;Manual&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;362:3&#8243;&gt;R14&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;366:1&#8243;&gt;(&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;367:5&#8243;&gt;21.10&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;374:6&#8243;&gt;String&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;381:6&#8243;&gt;Output&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;388:2&#8243;&gt;to&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;391:3&#8243;&gt;the&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;395:2&#8243;&gt;LS&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;397:1&#8243;&gt;-&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;398:4&#8243;&gt;DYNA&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;403:8&#8243;&gt;Database&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;411:1&#8243;&gt;,&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;413:7&#8243;&gt;formulas&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;421:5&#8243;&gt;21.54&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;427:1&#8243;&gt;-&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;429:5&#8243;&gt;21.57&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;434:1&#8243;&gt;)&lt;\/span&gt;&lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;435:1&#8243;&gt;.&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;437:6&#8243;&gt;Why&lt;\/span&gt; &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;444:3&#8243;&gt;this&lt;\/span&gt; is &lt;span class=&#8221;EzKURWReUAB5oZgtQNkl&#8221; data-src-align=&#8221;448:2&#8243;&gt;not&lt;\/span&gt; 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