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Pure shear

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Pure shear

In mechanics and geology, pure shear is a three-dimensional homogeneous flattening of a body. It is an example of irrotational strain in which a body is elongated in one direction while being shortened perpendicularly. For soft materials, such as rubber, a strain state of pure shear is often used for characterizing hyperelastic and fracture mechanical behavior. A rod under torsion is a practical example for a body under pure shear.

Pure shear stress-strain relation

Pure shear stress, denoted τ , is related to pure shear strain, denoted γ , by the following equation:

τ = γ G

where G is the shear modulus of the material, given by

G = E 2 ( 1 + ν )

Here E is Young's modulus and ν is Poisson's ratio. Combining gives

τ = γ E 2 ( 1 + ν )

References

Pure shear Wikipedia