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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
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