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Identification of Simple Shear in Plane Strain Deformation

Abstract : A theoretical analysis of plane strain incompressible velocity fields is first carried out. Two types of local fields are distinguished according to the sign of det(L), where L is the velocity gradient tensor, whereas det(L) =0 is associated with simple shear. A geometrical interpretation is used to illustrate the various decompositions of L. Finally, it is suggested that the condition det(L)=0 can be used to predict the occurrence of shear bands during metal forming processes.
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https://hal-emse.ccsd.cnrs.fr/emse-00465181
Contributor : Pierre Charles Pinoli <>
Submitted on : Friday, March 19, 2010 - 11:25:02 AM
Last modification on : Wednesday, June 24, 2020 - 4:18:37 PM

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Gilles Damamme, Aurélie Colin, Christophe Desrayaud, Frank Montheillet. Identification of Simple Shear in Plane Strain Deformation. Journal of Engineering Materials and Technology, American Society of Mechanical Engineers, 2009, 131 (1), pp.011106. ⟨10.1115/1.3030940⟩. ⟨emse-00465181⟩

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