About the problem of the invisible structural destruction

Authors

  • Evdokimova O.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Russian Federation
  • Babeshko V.A. Kuban State University, Krasnodar, Russian Federation
  • Babeshko O.M. Kuban State University, Krasnodar, Russian Federation

UDC

539.3

EDN

UMGWLN

Abstract

The theory of vibration-strength viruses and natural viruses, developed earlier by investigators, is used to study the possibility of invisible destruction of constructions with complex structure.The latter may happen under the fulfilment of conditions for localization of dynamic or static processes, produced by the above mentioned viruses, at the zone,where fragments of deformable structures are jointed. From the exampleof interaction of significantly rigid body, which is called stamp, and less solid (which has a layered medium, including an anisotropic medium), both of which are rigidly interconnected, we see, that the conditions for the localization of the process are in the zone of jointing stamp with layer. For this purpose the systems of integral equations of arising vector contact problems are studied. These conditions are formulated with terms of parameters, which describe stress-strain state.The study presents conditions, which allow formulating and controlling the degree of locationinvisibility. The study also identifies the parameters, which are used to describe the conditions of localization.

Keywords:

localization, anomaly natural process, natural virus, boundary-value problems, differential equations, integral equations

Funding information

Отдельные фрагменты работы выполнены при поддержке грантов РФФИ (14-08-00404, 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, Программы Президиума РАН № 3 и № 43.

Authors info

  • Olga V. Evdokimova

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

  • 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 M. Babeshko

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

References

  1. Бабешко В.А., Евдокимова О.В., Бабешко О.М. О "вирусной" теории некоторых аномальных природных явлений // ДАН. 2012. Т. 447. № 1. С. 33-37. [Babeshko V.A., Evdokimova O.V., Babeshko O.M. O "virusnoy" teorii nekotorykh anomal'nykh prirodnykh yavleniy [About the "viral" theory of some abnormal natural phenomena]. Doklady Akademii Nauk [Rep. of the RAS], 2012, vol. 447, no. 1, pp. 33-37. (In Russian)]
  2. Бабешко В.А., Евдокимова О.В., Бабешко О.М. "Вирусная теория" некоторых природных аномалий // ДАН. 2012. Т. 447. № 6. С. 624-628. [Babeshko V.A., Evdokimova O.V., Babeshko O.M. "Virusnaya teoriya" nekotorykh prirodnykh anomaliy ["Viral theory" of some natural anomalies]. Doklady Akademii Nauk [Rep. of the RAS], 2012, vol. 447, no. 6, pp. 624-628. (In Russian)]
  3. Ворович И.И., Бабешко В.А. Динамические смешанные задачи теории упругости в неограниченных областях. М.: Наука, 1979. 320 с. [Vorovich I.I., Babeshko V.A. Dinamicheskie smeshannye zadachi teorii uprugosti v neogranichennykh oblastyakh [Dynamic mixed problem of elasticity theory in unbounded domains]. Moscow, Nauka Publ., 1979, 320 p. (In Russian)]
  4. Бабешко В.А., Евдокимова О.В., Бабешко О.М. О блочных элементах в приложениях // Физическая мезомеханика. 2012. Т. 15. № 1. С. 95-103. [Babeshko V.A., Evdokimova O.V., Babeshko O.M. O blochnykh elementakh v prilozheniyakh [About block elements in apps]. Fizicheskaya mezomekhanika [Physical mesomechanics], 2012, vol. 15, no. 1, pp. 95-103. (In Russian)]
  5. Бабешко В.А., Бабешко О.М., Евдокимова О.В. Об интегральном и дифференциальном методах факторизации // ДАН. 2006. Т. 410. № 2. С. 168-172. [Babeshko V.A., Babeshko O.M., Evdokimova O.V. Ob integral'nom i differentsial'nom metodakh faktorizatsii [About integral and differential factorization methods]. Doklady Akademii Nauk [Rep. of the RAS], 2006, vol. 410, vol. 2, pp. 168-172. (In Russian)]
  6. Бабешко В.А., Евдокимова О.В., Бабешко О.М. Дифференциальный метод факторизации в блочных структурах и нано структурах // ДАН. 2007. Т. 415. № 5. С. 596-599. [Babeshko V.A., Evdokimova O.V., Babeshko O.M. Differentsial'nyy metod faktorizatsii v blochnykh strukturakh i nano strukturakh [Differential method of factorization in block-structures and nano structures]. Doklady Akademii Nauk [Rep. of the RAS], 2007, vol. 415, no. 5, pp. 596-599. (In Russian)]
  7. Ворович И.И., Александров В.М., Бабешко В.А. Неклассические смешанные задачи теории упругости. М.: Наука, 1974. 456 с. [Vorovich I.I., Aleksandrov V.M., Babeshko V.A. Neklassicheskie smeshannye zadachi teorii uprugosti [Non-classical mixed problem of elasticity theory]. Moscow, Nauka Publ., 1974, 456 p. (In Russian)]

Downloads

Download data is not yet available.

Downloads

Issue

Vol.  (2015) No. 3

Pages

38-43

Section

Article

Dates

Submitted

September 18, 2015

Accepted

September 20, 2015

Published

September 30, 2015

How to Cite

[1]
Evdokimova, O.V., Babeshko, V.A., Babeshko, O.M., About the problem of the invisible structural destruction. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2015, № 3, pp. 38–43.

License

Copyright (c) 2015 Евдокимова О.В., Бабешко В.А., Бабешко О.М.

Creative Commons License

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

Similar Articles

1-10 of 450

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)

1 2 3 4 5 6 7 8 9 10 > >>