# Pure shear

In mechanics and geology, **pure shear** is a three-dimensional homogeneous flattening of a body.^{[1]} It is an example of irrotational strain in which a body is elongated in one direction while being shortened perpendicularly.^{[2]} For soft materials, such as rubber, a strain state of pure shear is often used for characterizing hyperelastic and fracture mechanical behavior. ^{[3]} ^{[4]} A rod under torsion is a practical example for a body under pure shear.

## Pure shear stress-strain relation

Pure shear stress, denoted , is related to pure shear strain, denoted , by the following equation:^{[5]}

where is the shear modulus of the material, given by

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

## See also

## References

- ↑ Reish, Nathaniel E.; Gary H. Girty. "Definition and Mathematics of Pure Shear". San Diego State University Department of Geological Sciences. Retrieved 24 December 2011.
- ↑ "Pure shear".
*Answers.com*. Retrieved 24 December 2011. - ↑ "Where do the Pure and Shear come from in the Pure Shear test?" (PDF). Retrieved 12 April 2013.
- ↑ "Comparing Simple Shear and Pure Shear" (PDF). Retrieved 12 April 2013.
- ↑ "Strength of Materials".
*Eformulae.com*. Retrieved 24 December 2011.

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