Thermodynamics of Local State: Overall Aspects and Micromechanics Based Constitutive Relations

Abstract

The thermodynamics of irreversible processes, based on a set of internal state variables, is revisited, paying attention on two complementary aspects:
- The Generalized Standard Models are shown to introduce too stiff constraints, both for kinematic hardening and for damage modellings. A slightly less restrictive approach is then considered, based on several independent  potentials and several independent multipliers;
- The micro-macro approach of elastoplasticity is formulated through the Transformation Field Analysis of Dvorak and the use of a correction method. Moreover, based on previous works of Suquet and Nguyen, the approach is generalized with energy considerations, incorporating continuous fields of eigenstrains.