Topological method in the problem of estimating the concentration of stresses in the faults of lithospheric plates
UDC
539.3EDN
TWTYLTAbstract
A static boundary about the interaction of lithospheric plates, contacting at a fault and locating on a deformable foundation is considered. The problem is reduced to the research and solution of the system of Wiener-Hopf functional equations, the exact solution of which is obtained recently. The boundary value problem was reduced to functional equations transformed to pseudo differential equations applying the topological method. The factorization of the matrix-functions were made and the exterior forms were used to calculate the Lere residue. The solving of the Wiener and Hopf equations were performed and the asymptotic behavior of the solutions were received. As a result of researches, it is shown that unlimited stress concentration occurs under certain conditions of the interaction nature between the ends of lithospheric plates to each other and the external environment in the fault zone.
Keywords:
localization, stress-strain state, factorization, topology, boundary-value problems, differential equations, exterior formsFunding information
Отдельные фрагменты работы выполнены при поддержке грантов РФФИ (14-08-00404, \mbox{13-01-12003-м}, 13-01-96502, 13-01-96505, 13-01-96508, 13-01-96509, 15-01-01379, 15-08-01377), гранта Президента РФ НШ-1245.2014.1, Программ Президиума РАН № 3 и № 43.
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Dates
Submitted
May 31, 2015
Accepted
June 12, 2015
Published
June 25, 2015
How to Cite
[1]
Babeshko, O.M., Topological method in the problem of estimating the concentration of stresses in the faults of lithospheric plates. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2015, № 2, pp. 14–21.
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Copyright (c) 2015 Бабешко О.М.
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