The net interaction force between two skew dislocations in an anisotropic quasicrystalline space or half-space

Wang, Xu; Schiavone, Peter

doi:10.2140/jomms.2022.17.35

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The net interaction force between two skew dislocations in an anisotropic quasicrystalline space or half-space

Xu Wang and Peter Schiavone

Vol. 17 (2022), No. 1, 35–42

DOI: 10.2140/jomms.2022.17.35

Abstract

Using the Stroh formalism, we derive explicit expressions for the net interaction force between two skewed line dislocations separated by a distance $h$ in an infinite anisotropic quasicrystalline space or half-space with a traction-free surface. The net interaction force of one dislocation exerted on the other is found to be independent of the separation distance and also independent of the second components of the two six-dimensional (6D) Burgers vectors. In addition, we find that the net interaction force is zero when the single nonzero component of one 6D Burgers vector is just the second component of this 6D Burgers vector. The net interaction force can be directly determined from the elastic constants of the anisotropic quasicrystalline material without requiring the solution of the Stroh eigenvalue problem.

Keywords

net interaction force, skew dislocations, anisotropic quasicrystal, Nix's theorem, explicit expression

Milestones

Received: 7 July 2021

Revised: 24 August 2021

Accepted: 31 August 2021

Published: 23 October 2022

Authors

Xu Wang
School of Mechanical and Power Engineering East China University of Science and Technology Shanghai China

Peter Schiavone
Department of Mechanical Engineering University of Alberta Edmonton AB Canada

Vol. 17, No. 1, 2022

Xu Wang and Peter Schiavone

Abstract

Keywords

Milestones

Authors