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Modeling hyperelasticity using Mooney-Rivlin strain energy density function

Modeling hyperelasticity using Mooney-Rivlin strain energy density function

Modeling hyperelasticity using Mooney-Rivlin strain energy density function

(OP)
Hi All,

I'm trying to model a hyper elastic material using the following equation, which is a simplified version of Mooney-Rivlin strain energy density function:

W=c(I-3)

But the problem is that when I am differentiating W with respect to E to obtain the components of my tensor, E disappears. In other words I get a CONSTANT value which means no variation.

What is wrong with my computation?
(I consider I=c11+c22+c33, E=2c+1)

Thanks

RE: Modeling hyperelasticity using Mooney-Rivlin strain energy density function

(OP)
No it's not for a coursework. But I'm new to FEM and continuum mechanics.
Thanks for guidance.

Vincent

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