Vol. 1, No. 2, 2006

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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
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