2009/04/30 by Markus Lazar · 17 citations
Earth and Planetary Sciences · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Classical mechanics #Condensed matter physics #Dislocation #Field (mathematics) #Gauge (firearms) #Gauge theory #Geotechnical and Geomechanical Engineering #High-pressure geophysics and materials #Mach number #Materials science #Mathematics #Mechanics #Microstructure and mechanical properties #Physics #Quantum mechanics #Supersonic speed #Theoretical physics #cond-mat.mtrl-sci
paper · pdf · doi:10.1098/rspa.2009.0043
published in Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences 465(2108), 2505-2520 (Royal Society) · 16 pages, 5 figures
openalex publication_date 2009/06/02 · arxiv created 2009/11/24 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we present the equations of motion of a moving screw dislocation in the framework of the translation gauge theory of dislocations. In the gauge field theoretical formulation, a dislocation is a massive gauge field. We calculate the gauge field theoretical solutions of a uniformly moving screw dislocation. We give the subsonic and supersonic solutions. Thus, supersonic dislocations are not forbidden from the field theoretical point of view. We show that the elastic divergences at the dislocation core are removed. We also discuss the Mach cones produced by supersonic screw dislocations.