Phase Field Methods and Dislocations

TL;DR

This paper introduces a formalism that models dislocations as platelet inclusions within phase field methods, enabling dynamic coupling with other fields and simulation of dislocation behaviors.

Contribution

It presents a novel approach to incorporate dislocations into phase field models using elastic equivalence, allowing for more comprehensive simulations.

Findings

Simulated a Frank-Read source of dislocations.

Modeled dislocation loop shrinkage with concentration fields.

Demonstrated dynamic coupling of dislocations with other fields.

Abstract

We present a general formalism for incorporating dislocations in Phase Field methods. This formalism is based on the elastic equivalence between a dislocation loop and a platelet inclusion of specific stress-free strain related to the loop Burgers vector and normal. Dislocations are thus treated as platelet inclusions and may be coupled dynamically to any other field such as a concentration field. The method is illustrated through the simulation of a Frank-Read source and of the shrinkage of a loop in presence of a concentration field.