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Message #09983
[Question #253045]: Law2_ScGeom_ViscElPhys_Basic [Pournin2001]
New question #253045 on Yade:
https://answers.launchpad.net/yade/+question/253045
Hi everyone,
I have been reading the reference paper [Pournin2001] of the constitutive law "Law2_ScGeom_ViscElPhys_Basic". I have two questions about it:
1. In equation (22) [Pournin2001], cn and ct should have similar expressions as these are the solutions of similar differential equations with similar conditions. Thus, there seems to be missing a factor 2 in the expression of ct. Is that right? If yes, has the eventual bug been fixed?
2. In the documentation (Release 2014-08-08.git-b1621bc, August 10, 2014) on page 457, some formulas are given for the conversion between en, et and tc, and kn, kt, cn in order to replace the deprecated function "yade._utils.getViscoelasticFromSpheresInteraction". These formulas should be the simplified version of equation (22) in [Pournin2001] for spherical bodies. This is why, 1/mref = 1/m + 1/m. Thus, mref = m/2. Furthermore, I1 = I2 = I = 2/5mr^2. If these variables are replaced in equation (22)[Pournin2001], I get:
kn = m/(2*tc^2) * (pi^2 + ln(en)^2)
cn = -m/tc * ln(en)
kt = m/(7*tc^2) * (pi^2 + ln(et)^2)
cn = -m/(7*tc) * ln(en)
These expression are different from those given in the documentation (p. 457). Which version is correct? And where does the error come from?
Thank you in advance,
Dominik
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