Dislocation equilibrium positions in a cylindrical nanowire containing a disclination dipole

The stress field of a dipole of disclinations located in the central part of a cylindrical nanowire has been first calculated within the linear elasticity theory. The gliding of two edge dislocations of the same Burgers vector has been then investigated from a Peach–Koehler force analysis. More specifically, the unstable and stable equilibrium positions have been determined in the nanowire. A stability diagram for the dislocations has been finally displayed vs. the length and strength of the disclination dipole.

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Publication Details

Journal
Mathematics and Mechanics of Solids
Published
2025-09-04
DOI
https://doi.org/10.1177/10812865251339111
Primary Topic
Microstructure and mechanical properties
Type
article
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article

Dislocation equilibrium positions in a cylindrical nanowire containing a disclination dipole

Jérôme M. Colin
Mathematics and Mechanics of Solids
Microstructure and mechanical properties
article

Dislocation equilibrium positions in a cylindrical nanowire containing a disclination dipole

Jérôme M. Colin
article en

Abstract

The stress field of a dipole of disclinations located in the central part of a cylindrical nanowire has been first calculated within the linear elasticity theory. The gliding of two edge dislocations of the same Burgers vector has been then investigated from a Peach–Koehler force analysis. More specifically, the unstable and stable equilibrium positions have been determined in the nanowire. A stability diagram for the dislocations has been finally displayed vs. the length and strength of the disclination dipole.

Mathematics and Mechanics of Solids
Centre National de la Recherche Scientifique (FR), École Nationale Supérieure de Mécanique et d'Aérotechnique (FR), Université de Poitiers (FR)
Openalex Percentile: Top 82%
Microstructure and mechanical properties
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