About starting earthquakes for full contact of the lithospheres' plates and base
UDC
539.3EDN
ZHXFLNAbstract
The boundary problem of rigid coupling of lithospheric plates modeled by Kirchhoff plates with three-dimensional deformable layered medium as a base is considered. The possibility of occurrence of a starting earthquake in such a block structure is investigated. Thus, two states of the block structure are considered in the static mode. In the first case, the semi-infinite lithospheric plates in the form of half-planes are remote from each other, so that the distance between the ends is different from zero. In the second case, lithospheric plates are brought together to a zero distance between them. It is proved that in this case the earthquake can occur, capable of breaking the surface of the base, forming new fractures in the Earth's crust, but the defect of the contact problems of elasticity have been fined for this case. In the previous articles of the authors, scalar and vector cases of impact on lithospheric plates have been studied. In the scalar case of vertical impact on lithospheric plates it was assumed that tangent contact stresses are absent in the domain of contact of the lithospheric plates with the base. In the vector case of horizontal impacts on lithospheric plates it was assumed that there are no vertical components in the contact domain in the presence of two components of contact tangent stresses. In the case of rigid coupling of lithospheric plates with the base, both vertical and horizontal components of contact stresses are present in the contact domain, and they are determined as a result of solving the complete three-dimensional boundary value problem. The result is not a sum of solutions to previous problems and has new properties.
Keywords:
block element, topology, integral and differential factorization methods, exterior forms, block structures, boundary problems, starting earthquakesFunding information
Отдельные фрагменты работы выполнены в рамках реализации Госзадания на 2017 г. проекты (9.8753.2017/БЧ), (0256-2014-0006), Программы президиума РАН 1-33П, проекты с (0256-2015-0088) по (0256-2015-0093), и при поддержке грантов РФФИ (15-01-01379, 15-08-01377, 16-41-230214, 16-41-230218, 16-48-230216, 17-08-00323).
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