A mode-coupling theory for the pasty rheology of soft glassy materials

TL;DR

This paper presents a mode-coupling model for soft glassy materials that captures jamming, stress-shear relations, and strain-dependent relaxation, aligning well with experimental observations.

Contribution

It introduces a simple mode-coupling framework that models the rheology and jamming transition of soft glassy materials under flow.

Findings

Reproduces experimental stress vs shear rate behavior.

Shows relaxation time depends on strain amplitude in jammed state.

Identifies regimes of Newtonian and yield stress behavior.

Abstract

In this paper, we introduce a simple mode-coupling model for concentrated suspensions under flow . This model exhibits a jamming transition, and stress vs shear rate relations which are very similar to experimental results. Namely newtonian regime or yield stress are followed by a slow variation of the stress for higher shear rates, and by an apparent newtonian regime for very large shear rates. Another striking result is that under oscillating strain, even in the jammed state, the system exhibits a relaxation time which depends on the strain amplitude.