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hyper elasticity

2D Mooney Rivlin Strain Energy Function

Hi,

I want to model a tissue using the Mooney Rivlin strain energy function. However, I am currently working in 2D (plane stress or plane strain would do). I only found the 3D material model for the strain energy density function online. What modifications should I make for converting it to 2d? I read that there is only 1 parameter required for the 2D case as opposed to the 3D case. What is the equation of this function? Is there any relation between the parameter C10 and C01 of the 3D case, and C1 of the 2D case for the same material?

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