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PACAM XI
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The Eshelby tensor in nonlocal elasticity and in nonlocal micropolar elasticity

Markus Lazar & Helmut O. K. Kirchner

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

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