Pure shear

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An element in 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]

Pure shear stress-strain relation

Pure shear stress, denoted \tau , is related to pure shear strain, denoted \gamma , by the following equation:[5]

\tau =\gamma G\,

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

G={\frac {E}{2(1+\nu )}}

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

\tau ={\frac {\gamma E}{2(1+\nu )}}

See also

References

  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. ↑ "Pure shear". Answers.com. Retrieved 24 December 2011. 
  3. ↑ "Where do the Pure and Shear come from in the Pure Shear test?". Retrieved 12 April 2013. 
  4. ↑ "Comparing Simple Shear and Pure Shear". Retrieved 12 April 2013. 
  5. ↑ "Strength of Materials". Eformulae.com. Retrieved 24 December 2011. 


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