The correct relation between Modulus of elasticity (E), Shear Modulus (G) and Bulk modulus (K) is:

1
\(K = - \left( {\frac{G}{{\frac{{9G}}{E} + 3}}} \right)\)
2
\(K = \left( {\frac{E}{{\frac{{3G}}{E} - 9}}} \right)\)
3
\(K = \left( {\frac{E}{{\frac{{3E}}{G} - 9}}} \right)\)
4
\(K = - \left( {\frac{E}{{\frac{{3E}}{G} - 9}}} \right)\)

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