A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations. (English) Zbl 1481.74097
Summary: We describe a model based on continuum mechanics that reduces the study of a significant class of problems of discrete dislocation dynamics to questions of the modern theory of continuum plasticity. As applications, we explore the questions of the existence of a Peierls stress in a continuum theory, dislocation annihilation, dislocation dissociation, finite-speed-of-propagation effects of elastic waves vis-a-vis dynamic dislocation fields, supersonic dislocation motion, and short-slip duration in rupture dynamics.
MSC:
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
| 74A45 | Theories of fracture and damage |
Keywords:
field dislocation mechanics; Peierls stress; dislocation pile-up; dislocation dissociation; supersonic dislocation; dynamic dislocation fields; dynamic ruptureReferences:
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