In mechanics and geology, pure shear is a three-dimensional homogeneous flattening of a body. It is an example of irrotational strain in which 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 behaviour. Pure shear is differentiated from simple shear in that pure shear involves no rigid body rotation. 
If is the stretch ratio applied to the material, then the deformation gradient in pure shear can be expressed as
The linear elastic stress-strain law for the case of pure shear is:
- Reish, Nathaniel E.; Gary H. Girty. "Definition and Mathematics of Pure Shear". San Diego State University Department of Geological Sciences. Retrieved 24 December 2011.
- Yeoh, O. H. (2001). "Analysis of deformation and fracture of 'pure shear'rubber testpiece". Plastics, rubber and composites. 30 (8): 389–397. doi:10.1179/146580101101541787.
- "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.
- Moreira, D.C.; Nunes, L.C.S. (April 2013). "Comparison of simple and pure shear for an incompressible isotropic hyperelastic material under large deformation". Polymer Testing. 32 (2): 240–248. doi:10.1016/j.polymertesting.2012.11.005.
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