论文标题
反射对称性的任意滑移系统中加速螺钉位错的一般解决方案
A general solution for accelerating screw dislocations in arbitrary slip systems with reflection symmetry
论文作者
论文摘要
在任意晶体对称性中连续限制中线性弹性的微分方程的溶液仅因任意特征的稳态脱位而知，即以恒定速度移动的线缺陷。在某些“关键”速度（通常接近某些声音速度）处的奇异性困扰，这些位错字段被认为太理想化了，差异通常归因于忽略核心的有限大小，而限制限制到恒定速度。在各向同性极限中，研究了一段时间前加速纯螺钉和边缘位错。仅在某些特殊情况下，已尝试将对各向异性晶体的概括用于纯螺钉和边缘位错。这项工作旨在填补用于推导一般各向异性解决方案的空白，用于适用于带有反射对称性的滑动系统的纯螺钉脱位，这是研究纯螺钉错位而不与边缘脱位混合的纯螺钉错位的先决条件。对任意混合错位以及错位核心的正常化的进一步概括超出了本文的范围，并留下了将来的工作。
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.
