Nonequilibrium Thermodynamics of the Soft Glassy Rheology Model

Abstract

The Soft Glassy Rheology (SGR) model is a mesoscopic framework which proved to be very successful in describing flow and deformation of various amorphous materials phenomenologically (e.g. pastes, slurries, foams etc). In this paper, we cast SGR in a general, model independent framework for nonequilibrium thermodynamics called General Equation for the Nonequilibrium Reversible-Irreversible Coupling (GENERIC). This leads to a new formulation of SGR which clarifies how it can properly be coupled to hydrodynamic fields, resulting in a thermodynamically consistent, local, continuum version of SGR. Additionally, we find that compliance with thermodynamics imposes the existence of a modification to the stress tensor as predicted by SGR.

References in corpus (2)

• Tensorial Constitutive Models for Disordered Foams, Dense Emulsions, and other Soft Nonergodic Materials
• Path independent integrals to identify localized plastic events in two dimensions

Cited by in corpus (2)

• Non-equilibrium thermodynamics of damped Timoshenko and damped Bresse systems
• Thermalized formulation of soft glassy rheology