
From:  jeanyves heddebaut 
Subject:  [Getfemusers] non linear elasticity 
Date:  Mon, 28 Apr 2008 18:39:20 +0200 
Dear getfem users,I would like to reuse the non linear elasticity brick to make a brick representing the behavior of non linear membranes. The idea is to apply the Cosserat hypothesis, which gives a simplified GreenLagrange strain tensor.
The dimension of the vgrad term in the asm_nonlinear_elasticity_tangent_matrix function would be (:,2,3) iso (:,3,3) in the 3 dim brick, and I think I could reuse the function without modification. The elasticity_nonlinear_term, on the contrary, has to be adapted, but I do not see how to do it. Could anybody help me understand the logic behind the compute function ?
here is how I understand it, please tell me where I am wrong (I am considering the Saint venant kirchoff hyperelastic law)
1.gradU is the gradient of the displacements, based on the preceding iteration displacements
2.E is the GreenLagrange strain tensor, also based on the preceding iteration displacements
3.gradU becomes gadU+I ( deformation gradient iso displacement gradient ?)
4.tt is a tensor containing the rigidity coefficients Could somebody tell me what is done in the "version==0" loops ? I would greatly appreciate any help jeanyves heddebaut
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