A general solution for accelerating screw dislocations in arbitrary slip systems with reflection symmetry

Blaschke, Daniel N.

doi:10.1016/j.jmps.2021.104448

A general solution for accelerating screw dislocations in arbitrary slip systems with reflection symmetry

Journal Article · Thu Apr 22 00:00:00 EDT 2021 · Journal of the Mechanics and Physics of Solids

DOI:https://doi.org/10.1016/j.jmps.2021.104448· OSTI ID:1804345

^[1]

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

Solutions to the differential equations of linear elasticity in the continuum limit in arbitrary crystal symmetry are known only for steady-state dislocations of arbitrary character, i.e. line defects moving at constant velocity. Troubled by singularities at certain ‘critical’ velocities (typically close to certain sound speeds), these dislocation fields are thought to be too idealized, and divergences are usually attributed to neglecting the finite size of the core and to the restriction to constant velocity. In the isotropic limit, accelerating pure screw and edge dislocations were studied some time ago. A generalization to anisotropic crystals has been attempted for pure screw and edge dislocations only for some special cases. This work aims to fill the gap of deriving a general anisotropic solution for pure screw dislocations applicable to slip systems featuring a reflection symmetry, a prerequisite to studying pure screw dislocations without mixing with edge dislocations. Finally, further generalizations to arbitrary mixed dislocations as well as regularizations of the dislocation core are beyond the scope of this paper and are left for future work.

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:: 1804345

Alternate ID(s):: OSTI ID: 1779541

Report Number(s):: LA-UR--20-25951

Journal Information:: Journal of the Mechanics and Physics of Solids, Journal Name: Journal of the Mechanics and Physics of Solids Vol. 152; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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A general solution for accelerating screw dislocations in arbitrary slip systems with reflection symmetry

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