Abstract

A reconsideration of some basic concepts in classical plasticity suggests that the theoretical role for a yield function is seldom implemented fully in practice. This is mainly because of experimental difficulties in acquiring the needed information. It is proposed here that attention could be focused more profitably on the variations of certain material parameters along individual loading paths. The classical constitutive relations are restructured from this standpoint. Inter alia, an explicit formula is given for a (1,1) correspondence between the local curvature of a strain path and the local direction of the associated stress path. For maximum clarity the analysis is presented in the context of sheet forming and instability under independently variable biaxial tensions.

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