Тип публикации: статья из журнала
Год издания: 2025
Идентификатор DOI: 10.1134/S1029959925600016
Ключевые слова: shear rupture, stationary motion, edge dislocation, Cauchy-Riemann equations, Riemann invariants, invariant integral
Аннотация: A Volterra edge dislocation moving in an infinite isotropic elastic medium under shear prestress is considered as a model of a shear rupture in the Earth’s crust formed at seismic depths and propagating at velocities in the range between the elastic shear and longitudinal wave velocities. In the plane strain approximation, the equaПоказать полностьюtions of stationary motion of the medium around the dislocation are reduced to an elliptic-hyperbolic system of equations for velocities and stresses, which is integrated using analytic functions of a complex variable and the method of characteristics. The invariant J-integral is used to estimate the deformation energy released during the dislocation motion depending on the velocity, shear stress at infinity, length of a fan adjacent to the dislocation tip, and Burgers vector distribution in the fan.
Журнал: Physical Mesomechanics
Выпуск журнала: Т. 28, № 6
Номера страниц: 713-727
ISSN журнала: 10299599
Место издания: Moscow
Издатель: Pleiades Publishing, Ltd.