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词条 Pure shear
释义

  1. See also

  2. References

{{Use dmy dates|date=November 2017}}

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

  • Simple shear
  • Squeeze mapping

References

1. ^{{cite web|url=http://www.geology.sdsu.edu/visualstructure/vss/htm_hlp/pure_s.htm|title=Definition and Mathematics of Pure Shear|last=Reish|first=Nathaniel E.|author2=Gary H. Girty |publisher=San Diego State University Department of Geological Sciences|accessdate=24 December 2011}}
2. ^{{cite journal|last1=Yeoh|first1=O. H.|title=Analysis of deformation and fracture of 'pure shear'rubber testpiece|journal=Plastics, Rubber and Composites|date=2001|volume=30|issue=8|pages=389–397|doi=10.1179/146580101101541787}}
3. ^{{cite web|url=http://www.endurica.com/wp-content/uploads/2015/06/Pure-Shear-Nomenclature.pdf|title=Where do the Pure and Shear come from in the Pure Shear test?|accessdate=12 April 2013}}
4. ^{{cite web|url=http://www.endurica.com/wp-content/uploads/2015/06/Comparing-Pure-Shear-and-Simple-Shear.pdf|title=Comparing Simple Shear and Pure Shear|accessdate=12 April 2013}}
5. ^{{cite journal|last1=Moreira|first1=D.C.|last2=Nunes|first2=L.C.S.|title=Comparison of simple and pure shear for an incompressible isotropic hyperelastic material under large deformation|journal=Polymer Testing|date=April 2013|volume=32|issue=2|pages=240–248|doi=10.1016/j.polymertesting.2012.11.005|url=https://www.sciencedirect.com/science/article/pii/S0142941812002218}}
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2 : Fluid mechanics|Continuum mechanics

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