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Peach-Koehler Forces within the Theory of Nonlocal Elasticity

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Mechanics of Material Forces

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 11))

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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Author information

Authors and Affiliations

  1. Laboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie, 4 Place Jussieu Case 162, F-75252, Paris Cédex 05, France

    Markus Lazar

Authors
  1. Markus Lazar
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Editor information

Editors and Affiliations

  1. University of Kaiserslautern, Germany

    Paul Steinmann

  2. Université Pierre et Marie Curie, Paris, France

    Gérard A. Maugin

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© 2005 Springer Science+Business Media, Inc.

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Lazar, M. (2005). Peach-Koehler Forces within the Theory of Nonlocal Elasticity. In: Steinmann, P., Maugin, G.A. (eds) Mechanics of Material Forces. Advances in Mechanics and Mathematics, vol 11. Springer, Boston, MA. https://doi.org/10.1007/0-387-26261-X_15

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