A general type of incompressible hyper elastic material proposed by Ogden is defined by the following strain energy function:
![2355_bac161f1-6a3f-4850-bcd8-f480ebc2a509.png](https://secure.tutorsglobe.com/CMSImages/2355_bac161f1-6a3f-4850-bcd8-f480ebc2a509.png)
Derive the homogeneous counterpart of this functional. Obtain expressions for the principal components of the deviatoric stresses and elasticity tensor.