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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
37/2003

Dislocations in the Field Theory of Elastoplasticity

Markus Lazar

Abstract

By means of linear theory of elastoplasticity, solutions are given for screw and edge dislocations situated in an isotropic solid. The force stresses, strain fields, displacements, distortions, dislocation densities and moment stresses are determined. The force stresses, strain fields, displacements and distortions are devoid of singularities predicted by the classical elasticity. Using the so-called stress function method we found modified stress functions of screw and edge dislocations.

Received:
Apr 16, 2003
Published:
Apr 16, 2003
Keywords:
dislocations, elastoplasticity, moment stress

Related publications

inJournal
2003 Repository Open Access
Markus Lazar

Dislocations in the field theory of elastoplasticity

In: Computational materials science, 28 (2003) 3/4, pp. 419-428