Which of the following relationships is correct for relating the three elastic constants of an isotropic elastic material (where, E = Young's modulus, G = Modulus of rigidity or shear modulus v = Poisson's ratio)?
A
E = 2G (1 + v)
B
E = G (1 + v)
C
$${\text{E}} = \frac{{{\text{G}}\left( {1 + {\text{v}}} \right)}}{2}$$
D
E = 2G (1 + 2v)
Correct Answer: E = 2G (1 + v)