Derive the homogeneous counterpart of this functional, Mechanical Engineering

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Derive the homogeneous counterpart of this functional

A general type of incompressible hyper elastic material proposed by Ogden is defined by the following strain energy function:

Derive the homogeneous counterpart of this functional. Obtain expressions for the principal components of the deviatoric stresses and elasticity tensor.

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Mechanical Engineering: Derive the homogeneous counterpart of this functional

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Mechanical Engineering: Derive the homogeneous counterpart of this functional

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