Poisson's ratio

When a material is stretched in one direction it tends to get thinner in the other two directions

When a sample of material is stretched in one direction it tends to get thinner in the other two directions.

poisson's ratio

 

Poisson's ratio is

  • the ratio of the relative contraction strain (or transverse strain) normal to the applied load - to the relative extension strain (or axial strain) in the direction of the applied load

Poisson's Ratio can be expressed as

μ = - εt / εl             (1)

where

μ = Poisson's ratio

εt = transverse strain

εl = longitudinal or axial strain

Strain can be expressed as

ε = dl / L             (2)

where

dl = change in length (m, ft)

L = initial length (m, ft)

For most common materials the Poisson's ratio is in the range 0 - 0.5.

Typical Poisson's Ratios for some Common Materials

MaterialPoisson's Ratio
- μ -
Upper limit 0.5
Aluminum 0.334
Aluminum, 6061-T6 0.35
Aluminum, 2024-T4 0.32
Beryllium Copper 0.285
Brass, 70-30 0.331
Brass, cast 0.357
Bronze 0.34
Concrete 0.1 - 0.2
Copper 0.355
Cork 0
Glass, Soda 0.22
Glass, Float 0.2 - 0.27
Granite 0.2 - 0.3
Ice 0.33
Inconel 0.27 - 0.38
Iron, Cast - gray 0.211
Iron, Cast 0.22 - 0.30
Iron, Ductile 0.26 - 0.31
Iron, Malleable 0.271
Lead 0.431
Limestone 0.2 - 0.3
Magnesium 0.35
Magnesium Alloy 0.281
Marble 0.2 - 0.3
Molybdenum 0.307
Monel metal 0.315
Nickel Silver 0.322
Nickel Steel 0.291
Polystyrene 0.34
Phosphor Bronze 0.359
Rubber 0.48 - ~0.5
Stainless Steel 18-8 0.305
Steel, cast 0.265
Steel, Cold-rolled 0.287
Steel, high carbon 0.295
Steel, mild 0.303
Titanium (99.0 Ti) 0.32
Wrought iron 0.278
Z-nickel 0.36
Zinc 0.331

Related Topics

  • Miscellaneous - Miscellaneous engineering related topics like Beaufort Wind Scale, CE-marking, drawing standards and more
  • Mechanics - Kinematics, forces, vectors, motion, momentum, energy and the dynamics of objects

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