Theoretical Study of Elastic Far-Field Decay from Dislocations in Multilattices

TL;DR

This paper rigorously characterizes how elastic fields from dislocations in multilattices decay, combining continuum theory and core corrections, with implications for numerical simulation accuracy.

Contribution

It provides a precise decomposition of dislocation-induced elastic fields into continuum and core components in multilattices, advancing theoretical understanding.

Findings

Elastic field decomposes into continuum and core parts

Analytical and numerical validation of decay properties

Implications for cell size effects in simulations

Abstract

We precisely and rigorously characterise the decay of elastic fields generated by dislocations in crystalline materials, focusing specifically on the role of multilattices. Concretely, we establish that the elastic field generated by a dislocation in a multilattice can be decomposed into a continuum field predicted by a linearised Cauchy-Born elasticity theory, and a discrete and nonlinear core corrector representing the defect core. We demonstrate both analytically and numerically the consequences of this result for cell size effects in numerical simulations.