Other elastic moduli

Shear stress-strain relationship

For example, for shear strain we can write

shear stress σ_s = G.γ

where the constant G is the shear modulus of elasticity. It turns out that the shear modulus can be derived from Young's modulus and Poisson's ratio:

G = E / (2+2ν)

Bulk modulus

The bulk modulus K relates volume change to an axial stress.

mean stress σ_m = K Δ

As you might expect it can also be derived from Young's modulus and Poisson's ratio.

K = E / (3-6ν)