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hypoelastic materials

Hypoelastic materials: constitutive equations in rate form

Submitted by brunda on

Hi,

I want to derive the rate form of the consitutive relation for hypoelastic material:

Jaumann stress rate=L:D

where L is a fourth order modulus tensor and D is the rate of deformation. 

Most papers that I have seen begin with this expression. But I would like to know how to arrive at this equation.

 

Any suggestion?

 

Thanks

Brunda