Micro-plasticity and intermittent dislocation activity in a simplified micro structural model

TL;DR

This paper introduces a simplified dislocation dynamics model to study micro-plasticity, revealing intermittent, scale-free avalanche behavior consistent with experimental observations.

Contribution

The model combines explicit mobile dislocation dynamics with a mean-field shear-stress field to capture micro-plastic intermittent activity.

Findings

Reproduces scale-free avalanche distributions similar to experiments

Shows diverse micro-plastic behaviors depending on model parameters

Captures intermittent plasticity in a simplified dislocation model

Abstract

Here we present a model to study the micro-plastic regime of a stress-strain curve. In this model an explicit dislocation population represents the mobile dislocation content and an internal shear-stress field represents a mean-field description of the immobile dislocation content. The mobile dislocations are constrained to a simple dipolar mat geometry and modelled via a dislocation dynamics algorithm, whilst the shear-stress field is chosen to be a sinusoidal function of distance along the mat direction. The latter, defined by a periodic length and a shear-stress amplitude, represents a pre-existing micro-structure. These model parameters, along with the mobile dislocation density, are found to admit a diversity of micro-plastic behaviour involving intermittent plasticity in the form of a scale-free avalanche phenomenon, with an exponent for the strain burst magnitude distribution similar to those seen in experiment and more complex dislocation dynamics simulations.