Hidden defects and the theory of the starting earthquakes for the horizontal actions
UDC
539.3Abstract
On the base of the hidden defects the possibility of the starting earthquakes for the horizontal actions on the lithosphere plates which are sited on the deformable fundament are studying. The plates are assume to be semi-infinite having the straight parallel end-walls modelling by the Kirchhoff plates. The static case is analyzed for two positions of presenting and absent the distance between the end-walls. The plates are assume to be "glued" with fundament. It is such that the contact can be admitted as hard and only the tangent vector arises in the contact area because the horizontal moving. It is proved that the starting earthquakes can arise when the distance between the end-walls is absent. The singular value arise on the stresses for the components of the tangent vector.
Keywords:
block element, factorization, topology, integral and deferential factorization methods, exterior forms, block structures, boundary problems, pseudodifferential equation, plate, earthquakeFunding information
Отдельные фрагменты работы выполнены в рамках реализации Госзадания на 2016 г. проект (0256-2014-0006), Программы президиума РАН 1-33П, проекты с (0256-2015-0088) по (0256-2015-0093), и при поддержке грантов РФФИ (14-08-00404, 15-01-01379, 15-08-01377, 16-41-230214, 16-41-230218, 16-48-230216).
References
- Бабешко В.А., Бабешко О.М., Гладской И.Б., Евдокимова О.В, Уафа Г.Н., Хафуз Т.А., Шестопалов В.Л. О локализации статического процесса в телах с дефектными покрытиями // МТТ. 2015. № 4. С. 90-97. [Babeshko V.A., Babeshko O.M., Gladskoy I.B., Evdokimova O.V, Uafa G.N., Khafuz T.A., Shestopalov V.L. O lokalizatsii staticheskogo protsessa v telakh s defektnymi pokrytiyami [On the localization of the static process in the bodies with defective coatings]. Mekhanika tverdogo tela [Solid mechanics], 2015, no. 4, pp. 90-97. (In Russian)]
- Ворович И.И., Бабешко В.А. Динамические смешанные задачи теории упругости для неклассических областей. М.: Наука, 1979. 320 с. [Vorovich I.I., Babeshko V.A. Dinamicheskie smeshannye zadachi teorii uprugosti dlya neklassicheskikh oblastey [Dynamic mixed problem of elasticity theory for nonclassical fields]. Moscow, Nauka Publ., 1979. 320 p. (In Russian)]
- Ворович И.И.,Бабешко В.А., Пряхина О.Д. Динамика массивных тел и резонансные явления в деформируемых средах. М.: Наука, 1999. 246 с. [Vorovich I.I.,Babeshko V.A., Pryakhina O.D. Dinamika massivnykh tel i rezonansnye yavleniya v deformiruemykh sredakh [Dynamics of massive bodies and resonance phenomena in deformable media]. Moscow, Nauka Publ., 1999. 246 p. (In Russian)]
- Babeshko V.A., Evdokimova O.V., Babeshko O.M. The Theory of the Starting Earthquake // Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation. 2016. No. 1, Vol. 2. P. 37-80.
- Математическая энциклопедия / Под ред. И.М. Виноградова. Внешняя алгебра. М.: Изд-во Советская энциклопедия. Т. 1, 1977. 1151 с. [Vinogradov I.M. (ed.) Matematicheskaya entsiklopediya [Mathematical encyclopedia]. Vneshnyaya algebra [Exterior algebra]. Moscow, Izd-vo Sovetskaya entsiklopediya Publ., vol. 1, 1977, 1151 p. (In Russian)]
- Ефимов Н.В. Введение в теорию внешних форм. М.: Наука, 1977. 88 с. [Efimov N.V. Vvedenie v teoriyu vneshnikh form [Introduction to the theory of exterior forms]. Moscow, Nauka Publ., 1977, 88 p. (In Russian)]
- Зорич В.А. Математический анализ. Часть 2. М.: МЦНМО, 2002. 788 с. [Zorich V.A. Matematicheskiy analiz. Chast' 2 [The mathematical analysis. Part 2]. Moscow, MTsNMO Publ., 2002, 788 p. (In Russian)]
- Шабат Б.В. Введение в комплексный анализ. Часть II. М.: Наука, 1985. 464 с. [Shabat B.V. Vvedenie v kompleksnyy analiz. Chast' II [Introduction to complex analysis. Part II]. Moscow, Nauka Publ., 1985, 464 p. (In Russian)]
- Бабешко В.А., Евдокимова О.В., Бабешко О.М. Внешний анализ в проблеме скрытых дефектов и прогнозе землетрясений // Экологический вестник научных центров черноморского экономического сотрудничества. 2016, № 2. С. 19-28. [Babeshko V.A., Evdokimova O.V., Babeshko O.M. Vneshniy analiz v probleme skrytykh defektov i prognoze zemletryaseniy [External analysis the problem of latent defects and the prediction of earthquakes]. Ekologicheskiy vestnik nauchnykh tsentrov chernomorskogo ekonomicheskogo sotrudnichestva [Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation], 2016, no. 2, pp. 19-28. (In Russian)]
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