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

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