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Message #20582
Re: [Question #683708]: Elastic potential energy of polyhedra
Question #683708 on Yade changed:
https://answers.launchpad.net/yade/+question/683708
Status: Open => Answered
Jan Stránský proposed the following answer:
Hi Vasileios,
good point. The equations [2,3,4] are wrong. In general, elastic energy is
int F(u) du
in case F=k*u, int F du = int k*u du = 0.5*k*u^2 = 0.5*F^2/k
But it is not the case of polyhedrons interaction, where the function F(u) is actually unknown.
But probably some estimation could be done, e.g. F=k*V and assume V being proportional to u^3.
Or the approaches mentioned by you (today is too late for me to investigate them :-)
> Btw, looking at the calculation of the equivalentPenetrationDepth
[5,6], is the exact "area" calculated or is an estimation made?
estimation [7]
cheers
Jan
[7] https://gitlab.com/yade-
dev/trunk/blob/master/pkg/dem/Polyhedra_Ig2.cpp#L116
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