2020/09/30 by Daniel N. Blaschke · 10 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Anisotropy #Burgers vector #Classical mechanics #Condensed matter physics #Dislocation #Geometry #Gravitational singularity #High Temperature Alloys and Creep #Hydrogen embrittlement and corrosion behaviors in metals #Isotropy #Mathematical analysis #Mathematics #Microstructure and mechanical properties #Optics #Physics #Slip (aerodynamics) #cond-mat.mtrl-sci #physics.comp-ph
paper · pdf · doi:10.1016/j.jmps.2021.104448
published in Journal of the Mechanics and Physics of Solids 152, 104448 (Elsevier BV) · 27 pages, 6 figures; v2 minor clarifications; v3+v4 revised and expanded
openalex created_date 2020/09/08 · arxiv created 2021/02/09 · openalex publication_date 2021/04/22 · arxiv updated 2021/04/27 · openalex updated_date 2026/08/05
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.