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It doesnt mean variable stiffness is wrong in itself. You can define thermodynamicaly consistent non-linear elasticity... or not.Variable stiffness makes me wonder if it is not something linked to the well known issue in hypoelastic models, see e.g.http://linkinghub.elsevier.com/retrieve/pii/S0749641903001347.
I don't know how HM is on this aspect. Bruno
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