Chapter 6.3

# Chapter 6.3 - Elastic Deformation Poissons ratio Unloaded...

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11 MSE 2090: Introduction to Materials Science Chapter 6, Mechanical Properties Elastic Deformation: Poisson’s ratio Materials subject to tension shrink laterally. Those subject to compression, bulge. The ratio of lateral and axial strains is called the Poisson's ratio υ . Sign in the above equations shows that lateral strain is in opposite sense to longitudinal strain υ is dimensionless Theoretical value for isotropic material: 0.25 Maximum value: 0.50, Typical value: 0.24 - 0.30 Unloaded Loaded z y z x ε ε = ε ε = ν

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12 MSE 2090: Introduction to Materials Science Chapter 6, Mechanical Properties Elastic Deformation: Shear Modulus Z o Δ y τ Unloaded Loaded Relationship of shear stress to shear strain: τ = G γ , where: γ = tg θ = Δ y / z o G is Shear Modulus (Units: N/m 2 or Pa) For isotropic material: E = 2G(1+ υ ) G ~ 0.4E (Note: single crystals are usually elastically anisotropic: the elastic behavior varies with crystallographic direction, see Chapter 3)
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Chapter 6.3 - Elastic Deformation Poissons ratio Unloaded...

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