Twist disclination in the field theory of elastoplasticity

TL;DR

This paper derives exact analytical solutions for the elastic fields of a straight twist disclination in an elastoplastic medium, showing no singularities and decomposing distortions via gauge theory.

Contribution

It provides the first exact solutions for twist disclinations in elastoplasticity and applies gauge theory to decompose the elastic distortion fields.

Findings

Elastic stress, strain, and displacement are nonsingular at the disclination line.

Modified stress functions for twist disclination are obtained.

Decomposition of elastic distortion into gauge fields is demonstrated.

Abstract

In this paper we study the twist disclination within the elastoplastic defect theory. Using the stress function method, we found exact analytical solutions for all characteristic fields of a straight twist disclination in an infinitely extended linear isotropic medium. The elastic stress, elastic strain and displacement have no singularities at the disclination line. We found modified stress functions for the twist disclination. In addition, we calculate the disclination density, effective Frank vector, disclination torsion and effective Burgers vector of a straight twist disclination. By means of gauge theory of defects we decompose the elastic distortion into the translational and rotational gauge fields of the straight twist disclination.