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 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

 

Poisson's Ratio can be expressed as

υ = - εt / εl             (1)

where

υ = 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

L = initial length

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
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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