Poisson Effect
OriginalCompressedFν = -ε_lateral / ε_axial

Poisson's Ratio

A measure of the Poisson effect, the tendency of a material to expand in directions perpendicular to the direction of compression. Named after Siméon Poisson, it quantifies the relationship between lateral strain and axial strain.

Formula
ν = -ε_lateral / ε_axial
Units
Dimensionless
Range
-1.0 to 0.5
Stable Materials
0.0 to 0.5
Auxetic Materials
Negative values

Key Properties

Elastic Properties
PropertyValueDescription
Theoretical Limits-1.0 to 0.5Thermodynamic constraints
Stable Materials0.0 to 0.5Most engineering materials
Auxetic Materials< 0Negative Poisson's ratio
Crystal Structure
Crystal Structure

Metals & Alloys

Most metals exhibit Poisson's ratio values between 0.25 and 0.35, with approximately 0.3 being the most common. This is due to the atomic bonding characteristics and crystal structures of metallic materials.

Formula
ν_metal ≈ 0.3
Units
Dimensionless

Common Metal Values

Common Values
MaterialPoisson's RatioStructure
Steel0.27 - 0.30BCC/FCC
Aluminum0.32 - 0.35FCC
Copper0.33 - 0.36FCC
Titanium0.30 - 0.34HCP
Cast Iron0.21 - 0.26BCC
Material Behavior
Rubber: ν ≈ 0.50IncompressibleGlass: ν ≈ 0.20BrittleAuxetic: ν < 0Negative ratioCork: ν ≈ 0.00Zero strain

Other Materials

Poisson's ratio varies significantly across different material classes. Polymers, ceramics, and biological materials exhibit unique values based on their molecular structure and bonding mechanisms.

Formula
ν = -ε_lateral / ε_axial
Units
Dimensionless

Material Classes

Different Behaviors
MaterialPoisson's RatioBehavior
Rubber0.49 - 0.50Near incompressible
Glass0.18 - 0.24Brittle
Cork~0.00Zero lateral strain
Auxetic Foam-0.10 to -0.80Negative ratio
Concrete0.10 - 0.20Brittle