Wedge disclination in the field theory of elastoplasticity

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.

11 pages, 3 figures

References in corpus (3)

• An elastoplastic theory of dislocations as a physical field theory with torsion
• A nonsingular solution of the edge dislocation in the gauge theory of dislocations
• Screw dislocations in the field theory of elastoplasticity

Cited by in corpus (3)

• Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method
• Twist disclination in the field theory of elastoplasticity
• Group Theoretical Analysis of Light-Cone Dominated Hadronic Processes and Twist Decomposition of Nonlocal Operators in Quantum Chromodynamics