Twist disclination in the field theory of elastoplasticity

Markus Lazar

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Submission date: 16. Apr. 2003
published in: Journal of physics / Condensed matter, 15 (2003) 40, p. 6781-6800 
DOI number (of the published article): 10.1088/0953-8984/15/40/015
Bibtex
PACS-Numbers: 61.72.Lk, 62.20.-x, 81.40.Jj
Keywords and phrases: disclinations, dislocations, gauge theory of defects

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.