For isotropic materials, the modulus of Elasticity in tension and shear (E and G) are related to the Poisson's ratio (v) as follows

1
E = \(\rm\frac{G}{2(1+\nu)}\)
2
G = \(\rm\frac{E}{2(1+\nu)}\)
3
G = \(\rm\frac{E}{2(1-\nu)}\)
4
E = \(\rm\frac{G}{2(1-\nu)}\)

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