In a material of pure shear stress τthe strain energy stored per unit volume in the elastic, homogeneous isotropic material having elastic constants E and v will be:

A)
τ²/E x (1+ v)
B)
τ²/E x (1+ v)
C)
τ²/2E x (1+ v)
D)
τ²/E x (2+ v)

Correct Answer :   τ²/E x (1+ v)


Explanation : σ₁=τ, σ₂= -τσ₃=0
U = (τ²+- τ²-2μτ(-τ))V = τ²/E x (1+ v)V.