How to determine limiting velocities of dislocations in anisotropic crystals

Blaschke, Daniel N.

doi:10.1088/1361-648x/ac2970

How to determine limiting velocities of dislocations in anisotropic crystals

Journal Article · Fri Oct 08 00:00:00 EDT 2021 · Journal of Physics. Condensed Matter

DOI:https://doi.org/10.1088/1361-648x/ac2970· OSTI ID:1827591

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In the continuum limit, the theory of dislocations in crystals predicts a divergence in the elastic energy of the host material at a crystal geometry dependent limiting (or critical) velocity vc. Explicit expressions for vc are scattered throughout the literature and are available in analytic form only for special cases with a high degree of symmetry. The fact that in some cases (like pure edge dislocations in fcc) v_c happens to coincide with the lowest shear wave speed of a sound wave traveling parallel to the dislocation's gliding direction has led to further confusion in the more recent literature. The aim of this short review therefore is to provide a concise overview of the limiting velocities for dislocations of arbitrary character in general anisotropic crystals, and how to efficiently compute them, either analytically or numerically.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1827591

Report Number(s):: LA-UR--21-26126

Journal Information:: Journal of Physics. Condensed Matter, Journal Name: Journal of Physics. Condensed Matter Journal Issue: 50 Vol. 33; ISSN 0953-8984

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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