An incompressible isotropic material has Poisson's ratio:

Question

Accepted Answer

D. {'text': 'ν = 1/2 — volume conserved under uniaxial load', 'label': 'C'}

Volumetric strain $\Delta V/V = (1 - 2
u)\epsilon_{xx}$ for uniaxial loading. Setting this to 0 gives ν = 1/2. Rubber (~0.49) is nearly incompressible. The upper bound for any thermodynamically valid isotropic material is ν < 1/2.

Answer

{'text': 'ν = 1', 'label': 'D'}

Answer

{'text': 'ν = 1/4', 'label': 'B'}

Answer

{'text': 'ν = 0', 'label': 'A'}