I am looking at problems of large deformation and large elastic strain in biological materials, using an analytical model that determines the current deformed state in a single step from the original undeformed state. The approach is to propose a strain energy function to allow the calculation of Piola-Kirchhoff 2 stresses which may then be converted to true Cauchy stresses via the usual mapping. Since I initially calculate PK2 stresses, the strain energy function must be a function of Green strain.
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