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On stress rate and plasticity constitutive equations referred to a body-fixed coordinate system
Authors:Han-Chin Wu
Affiliation:Department of Civil and Environmental Engineering, The University of Iowa, Iowa City, IA, USA
Abstract:Investigators have viewed the stress rate in two different ways: the material (body-fixed) point of view and the Eulerian point of view. We discuss the Zaremba–Jaumann rate and Oldroyd’s rate from the material viewpoint and apply them to the material formulation of a theory of plasticity for materials undergoing anisotropic plastic deformation. Significant advantages of the material formulation are that the derivation of equations is straight forward, the distortion of yield surface can be easily accounted for, and the issue of self-consistent elastic equation does not arise.
Keywords:Stress-rate   Finite plastic strain   Material formulation   Body-fixed coordinate   Convected material element   Yield surface
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