For a homogeneous isotropic elastic solid, which relations or limiting statements are correct?
Select all that apply

Question

For a homogeneous isotropic elastic solid, which relations or limiting statements are correct?

G1 Physics · Accepted Answer

The standard relations for a homogeneous isotropic elastic solid are Y = 2G(1+ν), and Y = 3K(1−2ν). Eliminating ν gives Y = 9KG / [3K+G]. For incompressibility, volume strain must vanish. Under uniaxial loading, ε(volume) = ε(longitudinal)(1−2ν). Therefore incompressibility requires ν → 1/2. Hence all four statements are correct.