differentiation of Strain energy function of transversely isotropic hyper-elasticity

[abhihan]

Dear Sir,pl. see the attachment.
Abhishek kumar

 

[HallsofIvy]

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[abhihan]

as desired image is removed and full description of problem is given

That attachment is impossible to read. It is much too small and cannot be enlarged.

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
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