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Condensed Matter & Materials Physics

Poisson's Ratio

The ratio of transverse lateral strain to axial longitudinal strain in a material subjected to uniaxial stress.

Governing formula ν = -ε_transverse / ε_axial = -(Δd / d₀) / (ΔL / L₀)
SI unit Dimensionless Ratio (-1 to 0.5)

In depth

When stretched longitudinally, most materials expand or contract laterally. Incompressible materials have ν = 0.5; typical metals have ν ~ 0.3. Auxetic metamaterials possess negative Poisson's ratio (ν < 0), expanding laterally when stretched.

Examples in the real world

Rubber exhibiting a Poisson's ratio close to 0.5 (nearly incompressible volume), while cork has ν ≈ 0.