Peach-Koehler forces within the theory of nonlocal elasticity

Details Peach-Koehler forces within the theory of nonlocal elasticity Peach-Koehler forces within the theory of nonlocal elasticity

2005-01-29

arxiv.org/abs/cond-mat/0501732v1

Physics

Condensed Matter

Materials Science

10 pages, 3 figures, to appear in: Proceedings of the EUROMECH Colloquium 445 on 'Mechanics of Material Forces'

Scientific paper

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.

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