Question

For an isotropic material, the relationship between the young's modulus $\left(E\right)$, shear modulus $\left(G\right)$ and Poisson's ration $\left(\mu \right)$ is given by

• A. $G=\frac{E}{(1+\mu )}$
• B. $G=\frac{E}{2(1+\mu )}$
• C. $G=\frac{E}{(1+2\mu )}$
• D. $G=\frac{E}{2(1+2\mu )}$

Answer 1

The correct option is B $G=\frac{E}{2(1+\mu )}$

The relation between elastic constants is-
$1.E=2G(1+\mu )$
$2.E=3K(1-2\mu )$
$3.E=\frac{9KG}{3K+G}$
$4.\mu =\frac{3K-2G}{6K+2G}$