Plastic flow in a sheared polycrystalline solid using phase field model

TL;DR

This paper uses phase field simulations to study plastic flow in sheared polycrystalline solids, revealing complex flow patterns and dislocation dynamics that differ from amorphous materials.

Contribution

It introduces a phase field model to analyze plastic deformation in polycrystals, linking flow patterns to dislocation activity and heterogeneity.

Findings

Identification of saddle and vortex flow patterns in polycrystals.

Displacement distribution exhibits a power law regime.

Flow structures explained by dislocation dynamics.

Abstract

Plastic deformation in solids induced by external shear stress is of huge practical interest. Presence of local crystalline order in polycrystals, consisting of many grains, distinguishes its deformation pattern from that of amorphous materials. Despite strong anisotropy, induced by external stress, the plastic flow and the consequent deformation field show strong dynamical heterogeneity. The distribution $P(u)$ of particle displacements ($u$) shows three distinct regimes including a power law scaling regime at moderate displacements. Using a phase field simulation we show how polycrystals generate saddle and vortex like flow patterns, which hitherto have been termed as elementary plastic events in the context of amorphous materials. Interestingly, such events here find natural explanation in terms of the underlying dislocation dynamics. We also characterize the spatial distribution of the flow field using Okubo-Weiss measure.