About starting earthquakes for full contact of the lithospheres' plates and base
UDC
539.3Abstract
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 earthquakesAcknowledgement
References
- Babeshko V.A., Evdokimova O.V., Babeshko O.M. K probleme fiziko-mekhanicheskogo predvestnika startovogo zemletryaseniya: mesto, vremya, intensivnost' [To the problem of the physicomechanical precursor of the initial earthquake: place, time, intensity]. Doklady Akademii nauk [Reports of the Academy of Sciences], 2016, vol. 466, no. 6, pp. 664-669. (In Russian)
- Babeshko V.A., Evdokimova O.V., Babeshko O.M. O startovykh zemletryaseniyakh pri gorizontal'nykh vozdeystviyakh [About starting earthquakes with horizontal influences]. Doklady Akademii nauk [Reports of the Academy of Sciences]. (In Press) (In Russian)
- Vorovich I.I., Babeshko V.A. Dinamicheskie smeshannye zadachi teorii uprugosti dlya neklassicheskikh oblastey [Dynamic mixed problems of elasticity theory for nonclassical domains]. Moscow, Nauka Pub., 1979, 320 p. (In Russian)
- Babeshko V.A., Evdokimova O.V., Babeshko O.M. Vneshniy analiz v probleme skrytykh defektov i prognoze zemletryaseniy [External analysis in the problem of hidden defects and the forecast of earthquakes]. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekonomicheskogo sotrudnichestva [Ecological bulletin of scientific centers of the Black Sea Economic Cooperation]. 2016, no. 2, pp. 19-28. (In Russian)
- Nikonov A.A. Sovremennye dvizheniya Zemnoy kory [Modern movements of the Earth's crust]. Moscow, Nauka Pub., 1979, 184 p. (In Russian)
- Morozov N.F. Matematicheskie voprosy teorii treshchin [Mathematical problems in the theory of cracks]. Moscow, Nauka Pub., 1984, 256 p. (In Russian)
- Chernov Yu.K. Sil'nye dvizheniya grunta i kolichestvennaya otsenka seysmicheskoy opasnosti territorii [Strong ground motion and quantitative assessment of the seismic hazard of the territory]. Tashkent, FAN Pub., 1989, 296 p. (In Russian)
- Rays Dzh. Mekhanika ochaga zemletryaseniya [Mechanics of the earthquake focus]. Moscow, Mir Pub., 1982, 217 p. (In Russian)
- Gamburtsev G.A. Perspektivnyy plan issledovaniy po probleme "Izyskanie i razvitie prognoza zemletryaseniy" [Perspective plan of research on the problem "Search and development of the earthquake forecast"]. In Razvitie idey G.A. Gamburtseva v geofizike [Development of ideas Gamburtsev in geophysics]. Moscow, Nauka Pub., 1982, pp. 304-311. (In Russian)
- Sadovskiy M.A., Bolkhovitinov L.G., Pisarenko V.F. Deformirovanie geofizicheskoy sredy i seysmicheskiy protsess [Deformation of the geophysical environment and seismic process]. Moscow, Nauka Pub., 1987, 104 p. (In Russian)
- Alekseev A.S. et al. Aktivnaya seysmologiya s moshchnymi vibratsionnymi istochnikami. Kollektivnaya monografiya [Active seismology with powerful vibrational sources. Collective monograph]. Moscow, Izd-vo SO RAN, 2004, 388 p. (In Russian)
- Sobolev G.A. Osnovy prognoza zemletryaseniy [Basics of earthquake prediction]. Moscow, Nauka Pub., 1993, 313 p. (In Russian)
- Keylis-Borok V.A. Dinamika litosfery i prognoz zemletryaseniy [Dynamics of the lithosphere and the forecast of earthquakes]. Priroda [Nature], 1989, no. 12, pp. 10-18. (In Russian)
Downloads
Issue
Pages
Submitted
Published
How to Cite
Copyright (c) 2017 Babeshko O.M., Evdokimova O.V., Babeshko V.A.
This work is licensed under a Creative Commons Attribution 4.0 International License.
