For the state of stress of pure shear τ, the strain energy stored per unit volume in the elastic, homogeneous, isotropic material having elastic constants – Young’s modulus, E and Poisson’s ratio v will be
1
\(\frac{{{\tau ^2}}}{{E}}\left( {1 + v} \right)\)
2
\(\frac{{{\tau ^2}}}{{2E}}\left( {1 + v} \right)\)
3
\(\frac{{{2\tau ^2}}}{{E}}\left( {1 + v} \right)\)
4
\(\frac{{{\tau ^2}}}{{2E}}\left( {2 + v} \right)\)