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The modulus of elasticity , E, relates tensile stress to tensile strain

The modulus of rigidity, G, relates shear stress to shear strain

The bulk modulus, K, relates compressive stress to volume strain

The three are related using u, poisson ratio of material, that varies generally from 0 to 0.5

E = 9K/ (1 + 3K/G)

G = E/2(1+u)

G = 3(1-2u)K/2(1+u)

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