The Eshelby tensor in nonlocal elasticity and in nonlocal micropolar elasticity

Lazar, Markus; Kirchner, Helmut

doi:10.2140/jomms.2006.1.325

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The Eshelby tensor in nonlocal elasticity and in nonlocal micropolar elasticity

Markus Lazar and Helmut O. K. Kirchner

Vol. 1 (2006), No. 2, 325–337

DOI: 10.2140/jomms.2006.1.325

Abstract

The Eshelby tensor is formulated for anisotropic linear nonlocal elasticity and nonlocal micropolar elasticity in a nonhomogeneous medium. The divergence of this tensor gives the configurational forces on geometric and physical defects in such a medium. Some examples of the Peach–Koehler force and the Mathison–Papapetrou force between dislocations and/or disclinations are given.

Keywords

Eshelby tensor, J-integral, nonlocal elasticity

Milestones

Received: 22 October 2005

Revised: 22 December 2005

Accepted: 22 December 2005

Published: 1 June 2006

Authors

Markus Lazar
Emmy Noether Research Group Institute of Condensed Matter Physics Darmstadt University of Technology Hochschulstr. 6 D-64289 Darmstadt Germany

Helmut O. K. Kirchner
Institut des Sciences des Materiaux Université Paris-Sud F-91405 Orsay France

Vol. 1, No. 2, 2006

Markus Lazar and Helmut O. K. Kirchner

Abstract

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