A formulation of finite strain thermo-viscoplasticity based on unified models

摘要

Rate-dependent and rate-independent inelastic deformation behaviour of metals can be described within one and the same mathematical framework by unified constitutive models with internal variables. Such models have been developed for infinitesimal strains over the last twenty years. They are typically phenomenological. However, their development is guided by some micro mechanical considerations. Rate-dependent and rate-independent inelastic deformation behaviour are governed by the same mechanisms. The dominant mechanism is the migration of dislocations, which can occur at any level of the applied stress. Therefore, most of such unified models are formulated without using the notion of a yield surface. Without claiming completeness, we cite the works of Bodner and Partom, Chaboche, Hart, Krempl, Iller, Anand, and Steck.