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 , where is the velocity gradient tensor, whereas is associated with simple shear. A geometrical interpretation is used to illustrate the various decompositions of . Finally, it is suggested that the condition can be used to predict the occurrence of shear bands during metal forming processes.
Identification of Simple Shear in Plane Strain Deformation
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Damamme, G., Colin, A., Desrayaud, C., and Montheillet, F. (December 19, 2008). "Identification of Simple Shear in Plane Strain Deformation." ASME. J. Eng. Mater. Technol. January 2009; 131(1): 011106. https://doi.org/10.1115/1.3030940
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