Peach-Koehler forces within the theory of nonlocal elasticity
Materials Science
2007-05-23 v1
Abstract
We consider dislocations in the framework of Eringen's nonlocal elasticity. The fundamental field equations of nonlocal elasticity are presented. Using these equations, the nonlocal force stresses of a straight screw and a straight edge dislocation are given. By the help of these nonlocal stresses, we are able to calculate the interaction forces between dislocations (Peach-Koehler forces). All classical singularities of the Peach-Koehler forces are eliminated. The extremum values of the forces are found near the dislocation line.
Keywords
Cite
@article{arxiv.cond-mat/0501732,
title = {Peach-Koehler forces within the theory of nonlocal elasticity},
author = {Markus Lazar},
journal= {arXiv preprint arXiv:cond-mat/0501732},
year = {2007}
}
Comments
10 pages, 3 figures, to appear in: Proceedings of the EUROMECH Colloquium 445 on 'Mechanics of Material Forces'