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. 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.

仅对于任意特征的稳态位错（即线缺陷以恒定速度运动），才知道任意晶体对称性的连续极限中的线性弹性微分方程的解。在某些“临界”速度（通常接近某些声速）下，由于奇异性而困扰，这些位错场被认为过于理想化，而发散通常是由于忽略了铁心的有限尺寸以及对恒定速度的限制。在各向同性极限中，前一段时间研究了加速的纯螺距和边缘错位。仅在某些特殊情况下，已尝试将各向异性晶体用于纯螺钉和边缘位错。这项工作的目的是填补为适用于具有反射对称性的滑移系统的纯螺杆位错获得通用各向异性解决方案的空白，这是研究不与边缘位错混合而研究纯螺杆位错的先决条件。对任意混合位错的进一步概括以及位错核心的正则化超出了本文的范围，并留作以后的工作。