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 <title>iMechanica - Is negative strain energy density possible? - Comments</title>
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 <title>Is negative strain energy density possible?</title>
 <link>http://imechanica.org/node/2609</link>
 <description>&lt;p&gt;I have a question that has troubled me for quite a while. Any kind of help would be greatly appreciated. I am computing the strain-energy density in a elastic solid when wave passes through. The formula I use is U=[I1^2+2(1+v)I2]/(2E), where U is the strain-energy density, I1 and I2 the first and second principal stress invariants, v poisson&amp;#39;s ratio=0.3, E the Young&amp;#39;s modulus. Since I1^2 must be positive, I2 might be negative behind the wave front. U might be negative. However, the textbook and many papers I ran into, says strain-energy density must be positive. Is it possible strain-energy density negative? What would the physical meaning of the negative strain-energy density be &amp;nbsp;if it exits?&lt;/p&gt;
&lt;p&gt;&amp;nbsp;Thank you for reading.&lt;/p&gt;
&lt;p&gt;Jacky&amp;nbsp;&lt;/p&gt;
&lt;br class=&quot;clear&quot; /&gt;</description>
 <comments>http://imechanica.org/node/2609#comments</comments>
 <category domain="http://imechanica.org/taxonomy/term/202">strain energy density</category>
 <pubDate>Wed, 23 Jan 2008 12:27:09 -0500</pubDate>
 <dc:creator>JackyLuo</dc:creator>
 <guid isPermaLink="false">2609 at http://imechanica.org</guid>
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