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Peach-Koehler forces within the theory of nonlocal elasticity

Markus Lazar
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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.

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Markus Lazar. 2005-01-29. Peach-Koehler forces within the theory of nonlocal elasticity. https://arxiv.org/abs/cond-mat/0501732

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