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Tangent modulus of the Mooney-Rivlin based Neo-hookean - Could you check my derivation??

Hello.

 

I study solid mechanics at a graduate school.

 

I tried to derive tangent modulus of the Mooney-Rivlin based Neo-Hookean material.

 

There might be no error in my derivation, but answer is wrong with referred right answer.

 

So, could you check my derivation?

 

I attached my derivation as a figure.

 

 

 

Thanks in advance.

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