A model for a solid undergoing rate-independent dissipative mechanical processes

Abstract

A thermodynamic framework is proposed to capture the dissipative response of metals. In contrast to the conventional practice, a stressed reference configuration is assumed instead of a stress-free configuration. The second law of thermodynamics is converted into equality by prescribing a non-negative rate of dissipation function. Stress in the reference configuration evolves with time to satisfy the second law of thermodynamics. Appropriate constitutive prescriptions are made to model the experimentally observed cyclic response of metals such as mild steel, aluminum alloy, and titanium, to uniaxial loading. An appropriate choice of material parameters captures well the experimentally observed response for different loading protocols.

Numerical approximation of a thermodynamically complete rate‐type model for the elastic–perfectly plastic response

“…(For another treatment of rate-type models from a thermodynamic point of view see also [33] and the discussion in [34] based on the concept of internal variables, to name a few.) Furthermore, the models in this class have also been employed in modelling the response of various materials, see [14,[35][36][37] and [38]. We have focused on a generalisation of (1) that describes the standard elastic-perfectly plastic response.…”

Deformation Mechanics of Fuel Cell Gas Diffusion Layer: Cyclic Response and Constitutive Model

“…In such scenarios, the theories based on the stressed configurations may not be ignored (see: [44][45][46][47] ). However, the material considered here is free from considerable deformation history.…”