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differentiation of Strain energy Function

Submitted by abhihan on

Dear,
I am having problem to find "Cauchy stress(σ) " and " Spatial elastic Tensor (c)" from the "strain energy function (ψ)" using 2nd Piola Kirchhoff stress ( S) of transversely isotropic hyper-elastic material. as per the Mechanics the 







how this differentiation is done? if you have any literature for this then it is requested to provide the same.

my equation for strain energy function is


Regards


Abhishek Kumar
Asso. Prof.
MED
FET, MRIU