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

 

Question #172107 on Yade changed:
https://answers.launchpad.net/yade/+question/172107

Chareyre proposed the following answer:

> 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)
>

Small mistake here. ;)
With true strains it reads:

ln(V/V_0) = ln(1 + eps_xx) + ln(1 + eps_yy) + ln(1 + eps_zz)

Easy to check after V=V_0*(1+exx)*(1+eyy)*(1+ezz)

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