About a starting earthquake by harmonic actions in the space case

Authors

  • Babeshko V.A. Kuban State University, Krasnodar, Russian Federation
  • Evdokimova O.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Russian Federation
  • Babeshko O.M. Kuban State University, Krasnodar, Russian Federation
  • Khripkov D.A. Kuban State University, Krasnodar, Russian Federation
  • Lozovoy V.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Russian Federation
  • Uafa S.B. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Russian Federation
  • Evdokimov V.S. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Russian Federation
  • Eletskiy Yu.B. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Russian Federation

UDC

539.3

DOI:

https://doi.org/10.31429/vestnik-15-2-24-29

Abstract

The object of study is the behavior of two semi-infinite tectonic plates under vibration conditions located on a deformable ground in the form a deformable layer. It is taken to be that the plates have parallel vertical boundaries and two positions on the layer -- when there is some distance between their edges and when there is not. An antiplane boundary problem is studied on the assumption that the edges of the tectonic plates act harmonically in time with the same frequency of stress, parallel to one of the coordinate axes. The boundary problem stated for a triblock structure is studied by the block element method, the algorithm of which requires the implementing of exterior form operations, exterior analysis, and the creating of the quotient topology for the block structure. The problem reduces to studying functional equations the solutions of which are the contact stresses. The concentrations of contact stresses which show the probability of a starting earthquake when the tectonic plates come together are studied.

Keywords:

block element, factorization, topology, integral and differential factorization methods, exterior forms, block structures, boundary problems, singular peculiarity

Funding information

Отдельные фрагменты работы выполнены в рамках реализации Госзадания на 2018~г., проекты (9.8753.2017/8.9), (01201354241), программ президиума РАН I-16, (00-18-21), I-52 проект (00-18-29), и при поддержке грантов РФФИ (16-41-230214), (16-41-230218), (16-48-230216), (17-08-00323), (18-08-00465), (18-01-00384), (18-05-80008).

Author info

  • Vladimir A. Babeshko

    академик РАН, д-р физ.-мат. наук, зав. кафедрой математического моделирования Кубанского государственного университета, директор Научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета, заведующий лабораторией Южного федерального университета

  • Olga V. Evdokimova

    д-р физ.-мат. наук, главный научный сотрудник Южного научного центра РАН

  • Olga M. Babeshko

    д-р физ.-мат. наук, главный научный сотрудник научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета

  • Dmitriy A. Khripkov

    научный сотрудник Кубанского государственного университета

  • Victor V. Lozovoy

    канд. физ.-мат. наук, научный сотрудник Южного научного центра РАН

  • Samir B. Uafa

    младший научный сотрудник Южного научного центра РАН

  • Vladimir S. Evdokimov

    студент Кубанского государственного университета, лаборант Южного научного центра РАН

  • Yuri B. Eletskiy

    заведующий лабораторией Южного научного центра РАН

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Downloads

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Issue

Vol. 15 (2018) No. 2

Pages

24-29

Section

Mechanics

Dates

Submitted

June 20, 2018

Accepted

June 21, 2018

Published

June 27, 2018

How to Cite

[1]
Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M., Khripkov, D.A., Lozovoy, V.V., Uafa, S.B., Evdokimov, V.S., Eletskiy, Y.B., About a starting earthquake by harmonic actions in the space case. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2018, т. 15, № 2, pp. 24–29. DOI: 10.31429/vestnik-15-2-24-29

License

Copyright (c) 2018 Бабешко В.А., Евдокимова О.В., Бабешко О.М., Хрипков Д.А., Лозовой В.В., Уафа С.Б., Евдокимов В.С., Елецкий Ю.Б.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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