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Re: [Getfem-users] Mooney-Rivlin and negative material constants
From: |
Yves Renard |
Subject: |
Re: [Getfem-users] Mooney-Rivlin and negative material constants |
Date: |
Mon, 4 Jun 2007 12:36:44 +0200 |
User-agent: |
KMail/1.9.5 |
Le jeudi 31 mai 2007 11:30, Igor Peterlik a écrit :
> Dear getfem experts,
>
> First, thanks for providing such a great FEM code. I found
> it really useful for my research.
>
> And now, the problem. I want to model
> a deformation of a silicon cylindric object. According to
> real lab measurements, Mooney-Rivlin material with constants
> C_10=2.94e+03 and C_01=-1.11e+03 should be suitable for
> realistic modelling of the object.
Indeed, i am not an expert in Mooney-Rivlin material constants.
It may be understandable that if the constant C_01 is to much negative, the
poly-convexity of the law could be lost (but really, I did not study this at
all). Are you sure the values you obtained are in an acceptable range ?
The constants in the Getfem brick are defined as follows (strain energy) :
W = C_01 ( I_1(C) - 3) + C_10 (I_2(C) - 3)
where $C = (\nabla \phi)^T \nabla \phi$ is the right Cauchy Green tensor and
I_1, I_2 the two first usual invariants. Is it the definition you expected ?
Yves.
-------------------------------------------------------------------------
Yves Renard (address@hidden) tel : (33) 04.72.43.80.11
Pole de Mathematiques, INSA de Lyon fax : (33) 04.72.43.85.29
Institut Camille Jordan - CNRS UMR 5208
20, rue Albert Einstein
69621 Villeurbanne Cedex, FRANCE
http://math.univ-lyon1.fr/~renard
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- Re: [Getfem-users] Mooney-Rivlin and negative material constants,
Yves Renard <=