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In this report, several aspects of viscoplastic constitutive equations, which can be derived from a scaler potential are considered. Based on the classical theory of irreversible processes, two approaches for introducing potential functions for constitutive equations are discussed. It is shown that the resulting potential functions, in general, are not equivalent. The importance of potential functions for the formulation of macroscopic constitutive laws in heterogeneous materials is outlined. As an example, a back stress model is derived which is similar to existing models but which shows marked differences for non-radial loading conditions. The usefulness of the potential formulation for the description of crack tip fields of stationary cracks in viscoplastic solids is demonstrated.

Additional information

Authors: STAMM H, JRC Ispra (IT)
Bibliographic Reference: EUR 15374 EN (1993) 55 pp., FS, free of charge
Availability: Available from Joint Research Centre, Publication Department, I-21020 Ispra (Va.) (IT)
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