Wedge disclination in the field theory of elastoplasticity

TL;DR

This paper presents an analytical study of wedge disclinations in elastoplasticity, deriving exact solutions that eliminate singularities at the defect core, advancing the understanding of defect fields in materials.

Contribution

It introduces a modified stress function for wedge disclinations and provides exact solutions within elastoplastic defect theory, improving modeling accuracy.

Findings

Elastic stress and strain are nonsingular at the disclination line.

Exact analytical solutions for characteristic fields are obtained.

Modified stress function enhances defect modeling.

Abstract

In this paper we study the wedge disclination within the elastoplastic defect theory. Using the stress function method we found exact analytical solutions for all characteristic fields of a straight wedge disclination in a cylinder. The elastic stress, elastic strain, elastic bend-twist, displacement and rotation have no singularities at the disclination line. We found a modified stress function for the wedge disclination.