Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций
Конференция: International Conference on Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS); Albena, BULGARIA; Albena, BULGARIA
Год издания: 2016
Идентификатор DOI: 10.1063/1.4964988
Аннотация: The Tarasov fan-shaped mechanism, simulating the formation of shear ruptures in a brittle rock at stress conditions corresponding to seismogenic depths, is analyzed. For computation of the stress-strain state of a rock near the equilibrium fan-structure the original method is constructed. The fault is modeled as a narrow elongated Показать полностьюlayer, filled with the domino-blocks, between two elastic half-spaces. Displacements and stresses around the fan are represented in the integral form as a superposition of edge dislocations with an unknown function of distribution of the Burgers vector. To take into account the stresses of lateral thrust, the solution of plane problem of the elasticity is used for a tensile crack, on the surfaces of which the previously unknown normal stresses are distributed. The exact formulation of the problem leads to a system of two nonlinear singular integral equations, which is solved numerically by the method of successive approximations. The obtained solution is used, when setting the initial data in computations of the dynamics of the Tarasov fan-shaped mechanism. With the help of this solution the discontinuous nature of shear ruptures, observed in natural and laboratory experiments, is explained. © 2016 Author(s).
Журнал: AIP Conference Proceedings
Выпуск журнала: 1773
Номера страниц: 080004
Издатель: American Institute of Physics Inc.