On the correspondence between a screw dislocation in gradient elasticity and a regularized vortex

TL;DR

This paper establishes a theoretical link between screw dislocations in gradient elasticity and regularized vortices, comparing their fields and physical quantities.

Contribution

It introduces a correspondence framework connecting dislocation theory in gradient elasticity with vortex regularization methods.

Findings

Effective Burgers vector and nonsingular fields are derived for screw dislocations.

Effective circulation and smoothed velocity are characterized for vortices.

The paper discusses the physical implications of this correspondence.

Abstract

We show the correspondence between a screw dislocation in gradient elasticity and a regularized vortex. The effective Burgers vector, nonsingular distortion and stress fields of a screw dislocation and the effective circulation, smoothed velocity and momentum of a vortex are given and discussed.