The Fate of Shear-Oscillated Amorphous Solids

TL;DR

This study investigates how amorphous solids respond to shear oscillations, revealing a transition from shear-annealing to shear-banding states depending on oscillation amplitude and initial preparation.

Contribution

It introduces a coarse-grained model to analyze the effects of shear oscillations on amorphous materials, highlighting a critical amplitude for state transitions based on initial annealing.

Findings

Poorly annealed materials shear-anneal at small oscillations.

Ultra-stabilized materials are insensitive to small oscillations.

Beyond a critical amplitude, both types transition to a shear-band state.

Abstract

The behavior of shear-oscillated amorphous materials is studied using a coarse-grained model. Samples are prepared at different degrees of annealing and then subject to athermal and quasistatic oscillatory deformations at various fixed amplitudes. The steady-state reached after several oscillations is fully determined by the initial preparation and the oscillation amplitude, as seen from stroboscopic stress and energy measurements. Under small oscillations, poorly annealed materials display shear-annealing, while ultra-stabilized materials are insensitive to them. Yet, beyond a critical oscillation amplitude, both kind of materials display a discontinuous transition to the same mixed state composed by a fluid shear-band embedded in a marginal solid. Quantitative relations between uniform shear and the steady-state reached with this protocol are established. The transient regime characterizing the growth and the motion of the shear band is also studied.