Pure shear

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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 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.[2] Pure shear is differentiated from simple shear in that pure shear involves no rigid body rotation. [3][4]

If is the stretch ratio applied to the material, then the deformation gradient in pure shear can be expressed as[5]

The linear elastic stress-strain law for the case of pure shear is:

See also[edit]


  1. ^ Reish, Nathaniel E.; Gary H. Girty. "Definition and Mathematics of Pure Shear". San Diego State University Department of Geological Sciences. Retrieved 24 December 2011.
  2. ^ 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.
  3. ^ "Where do the Pure and Shear come from in the Pure Shear test?" (PDF). Retrieved 12 April 2013.
  4. ^ "Comparing Simple Shear and Pure Shear" (PDF). Retrieved 12 April 2013.
  5. ^ 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.