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Re: [Question #172107]: Difference between volumetric strains evaluated by strains and void ratio

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From: Vincent Richefeu <question172107@xxxxxxxxxxxxxxxxxxxxx>
Date: Fri, 23 Sep 2011 18:25:43 -0000
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Question #172107 on Yade changed:
https://answers.launchpad.net/yade/+question/172107

Vincent Richefeu proposed the following answer:
Hi,

Maybe I'm wrong but it seems to me that dV/V = tr(EPS) is true if EPS is a true strain.
Do you still observe a difference between dV/V and tr(EPS) if you consider true strain?
In this case you should have tr(EPS) = ln(1 + eps_xx) + ln(1 + eps_yy) + ln(1 + eps_zz), which equals the volume change even for large strains. (In this formula eps is common Cauchy strain = dL/L)

Vincent

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