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strain energy function

2D Mooney Rivlin Strain Energy Function


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?

Tissue strain-rate independence

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I have two basic questions for the experts in the soft tissue biomechanics community. 

a) I am interested in the biomechanics of a specific tendon in a specific high-speed deformation. How plausible is it for me to assume strain-rate independence, and therefore, the existence of a strain energy function? In other words, how accurate is the assumption of pseudoelasticity for tendons under high strain-rate? I feel comfortable with the assumption (evidence would help a lot, however) for tissues such as mesentery, skin and, I guess, even muscle. 

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