A general solution for accelerating screw dislocations in arbitrary slip systems with reflection symmetry
Abstract
Solutions to the differential equations of linear elasticity in the continuum limit in arbitrary crystal symmetry are known only for steadystate 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. 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.
 Publication:

Journal of Mechanics Physics of Solids
 Pub Date:
 July 2021
 DOI:
 10.1016/j.jmps.2021.104448
 arXiv:
 arXiv:2009.00167
 Bibcode:
 2021JMPSo.15204448B
 Keywords:

 Dislocations in crystals;
 Dislocation mobility;
 Crystal plasticity;
 Transsonic motion;
 Condensed Matter  Materials Science;
 Physics  Computational Physics
 EPrint:
 27 pages, 6 figures