A computational approach towards modelling dislocation transmission across phase boundary

TL;DR

This paper introduces a 2D semi-discrete model to simulate how edge dislocations interact with phase boundaries in microstructures, accounting for material contrasts and boundary effects, to better understand dislocation transmission and obstruction.

Contribution

It presents a novel semi-discrete model incorporating phase contrast effects and dislocation dynamics across phase boundaries in two-phase microstructures.

Findings

Phase contrast creates barriers to dislocation motion.

Dislocation pile-ups occur at phase boundaries.

The model effectively captures dislocation transmission phenomena.

Abstract

To study the nanoscopic interaction between edge dislocations and a phase boundary within a two-phase microstructure the effect of the phase contrast on the internal stress field due to the dislocations needs to be taken into account. For this purpose a 2D semi-discrete model is proposed in this paper. It consists of two distinct phases, each with its specific material properties, separated by a fully coherent and non-damaging phase boundary. Each phase is modelled as a continuum enriched with a Peierls--Nabarro (PN) dislocation region, confining dislocation motion to a discrete plane, the glide plane. In this paper, a single glide plane perpendicular to and continuous across the phase boundary is considered. Along the glide plane bulk induced shear tractions are balanced by glide plane shear tractions based on the classical PN model. The model's ability to capture dislocation obstruction at phase boundaries, dislocation pile-ups and dislocation transmission is studied. Results show that the phase contrast in material properties (e.g. elastic stiffness, glide plane properties) alone creates a barrier to the motion of dislocations from a soft to a hard phase. The proposed model accounts for the interplay between dislocations, external boundaries and phase boundary and thus represents a suitable tool for studying edge dislocation--phase boundary interaction in two-phase microstructures.