An incompressible isotropic material has Poisson's ratio:

Question

Accepted Answer

D. ν = 1/2 — volume conserved under uniaxial load

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

ν = 1

Answer

ν = 1/4

Answer

ν = 0

An incompressible isotropic material has Poisson's ratio:

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