Premium
Transonic gliding edge dislocations/slip pulse near and on an interface/fault
Author(s) -
Weertman Johannes
Publication year - 2014
Publication title -
journal of geophysical research: solid earth
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.983
H-Index - 232
eISSN - 2169-9356
pISSN - 2169-9313
DOI - 10.1002/2013jb010121
Subject(s) - transonic , mach number , dislocation , mechanics , climb , slip (aerodynamics) , subsonic and transonic wind tunnel , shock wave , physics , mach wave , geometry , classical mechanics , mathematics , aerodynamics , condensed matter physics , thermodynamics
Three problems are solved in this paper that are related to transonic earthquakes. (1) The shear shock Mach wave emanating from a transonic gliding edge dislocation which impacts an interface. (2) A transonic edge dislocation gliding parallel and near to an interface. (3) The transonic edge dislocation gliding on the interface itself. The dislocation is in uniform or quasi‐uniform motion. The interface separates isotropic elastic material of slightly different properties. The first and last problems are essentially the same. The problems are solved with the building blocks of Mach waves, with logarithmic and arctan distributions of infinitesimal shock waves and with subsonic (with respect to longitudinal wave velocities) glide edge and climb edge dislocations. The need for the smeared infinitesimal shock wave distributions is an interesting feature of the solutions. Distributions of infinitesimal smeared Mach waves will exist wherever physical discontinuities exist near a transonic dislocation. A slip pulse of infinitesimal moving edge dislocations can be self sharpening because of attractive forces between like sign dislocations in certain velocity ranges.