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en>Quondum: replacing redirect Holomorphic to dab page with appropriate destination Holomorphic function

2014-12-08T01:50:55Z

replacing redirect Holomorphic to dab page with appropriate destination Holomorphic function

en>Anrnusna: /* References */journal name, replaced: Annals of Math. → Annals of Mathematics, J. London Math. Soc. → Journal of the London Mathematical Society using AWB

2013-10-26T21:07:52Z

References: journal name, replaced: Annals of Math. → Annals of Mathematics, J. London Math. Soc. → Journal of the London Mathematical Society using AWB

← Older revision		Revision as of 23:07, 26 October 2013
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			[[File:Pure shear.svg\|thumb\|200px\|An element in pure shear]]
			In [[mechanics]] and [[geology]], '''pure shear''' is a [[Three-dimensional space\|three-dimensional]] homogeneous flattening of a body.<ref>{{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.\|coauthors=Gary H. Girty\|publisher=[[San Diego State University]] Department of Geological Sciences\|accessdate=24 December 2011}}</ref> It is an example of irrotational [[Deformation (mechanics)\|strain]] in which a body is elongated in one direction while being shortened [[perpendicularly]].<ref>{{cite web\|url=http://www.answers.com/topic/pure-shear\|title=Pure shear\|work=[[Answers.com]]\|accessdate=24 December 2011}}</ref> For soft materials, such as rubber, a strain state of pure shear is often used for characterizing [[Hyperelastic material\|hyperelastic]] and [[fracture mechanics\|fracture mechanical]] behavior. <ref>{{cite web\|url=http://www.endurica.com/wp-content/uploads/2013/03/Pure-Shear-Nomenclature.pdf\|title=Where do the Pure and Shear come from in the Pure Shear test?\|accessdate=12 April 2013}}</ref> <ref>{{cite web\|url=http://www.endurica.com/wp-content/uploads/2013/03/Comparing-Pure-Shear-and-Simple-Shear.pdf\|title=Comparing Simple Shear and Pure Shear\|accessdate=12 April 2013}}</ref>

			== Pure shear stress-strain relation ==
			Pure [[shear stress]], denoted <math>\tau</math>, is related to pure [[shear strain]], denoted <math>\gamma</math>, by the following equation:<ref>{{cite web\|url=http://www.eformulae.com/engineering/strength_materials.php#pureshear\|title=Strength of Materials\|work=Eformulae.com\|accessdate=24 December 2011}}</ref>

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			where <math>G</math> is the [[shear modulus]] of the material, given by

			<math> G = \frac{E}{2(1+\nu)} </math>

			Here <math>E</math> is [[Young's modulus]] and <math>\nu</math> is [[Poisson's ratio]]. Combining gives

			<math>\tau = \frac{\gamma E}{2(1+\nu)}</math>

			== See also ==
			* [[Simple shear]]

			== References ==
			{{reflist}}


			[[Category:Fluid mechanics]]

			{{physics-stub}}
			{{geology-stub}}

64.128.27.82: /* Hausdorff dimension */ Added Comma

2012-08-14T21:45:33Z

Hausdorff dimension: Added Comma

New page

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