One new type of crack

Authors

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

UDC

539.3

EDN

YUKAWI

DOI:

10.31429/vestnik-15-1-20-23

Abstract

On the basis of the analysis of the causes, which invoke starting earthquakes or hidden defects, the fact of the existence of new, previously not described types of crackshave been identified. Griffith-Irwin cracks are characterized by the fact that their boundary is smooth. A new type of cracking has a piecewise smooth boundary. Both types of cracks can be constructed using homeomorphisms of areas containing cavities, boundaries of which converge. Properties of a new type of cracking are different from those of Griffith-Irwin cracksand can be detected by examining the corresponding block structure. A new type of cracking has not been studied thoroughly yet, due to the complexity of the constructions and the study of block structures, but the qualitative differences from Griffith-Irvine cracks,first of all in lower strength properties have been already revealed.

Keywords:

block element, cracks, topology, boundary problems methods, exterior forms, block structures, coverings

Funding information

Отдельные фрагменты работы выполнены в рамках реализации Госзадания Минобрнауки на 2018 г., проекты (9.8753.2017/БЧ), ЮНЦ РАН на 2018 г., № госрег. проекта 01201354241, программ президиума РАН П-16, проект (0256-2018-0015), П-52 проект (0256-2018-0020), и при поддержке грантов РФФИ (16-41-230214), (16-41-230218), (16-48-230216), (17-08-00323), (18-08-00465), (18-01-00384).

Authors info

  • Olga M. Babeshko

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

  • 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

References

  1. Бабешко В.А., Евдокимова О.В., Бабешко О.М. К проблеме физико-механического предвестника стартового землетрясения: место, время, интенсивность // ДАН. 2016. Т. 466. №6. С. 664-669. [Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M. To the problem of physicomechanical precursor of the initial earthquake: place, time, intensity. Rep. of the Academy of Sciences, 2016, vol. 466, no. 6, pp. 664-669. (In Russian)]
  2. Бабешко В.А., Евдокимова О.В., Бабешко О.М. О стартовых землетрясениях при горизонтальных воздействиях // ДАН. 2017. Т. 474. №4. С. 427-431. [Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M. About starting earthquakes with horizontal influences. Rep. of the Academy of Sciences, 2017, vol. 474, no. 4, pp. 427-431. (In Russian)]
  3. Черепанов Г.П. Механика хрупкого разрушения. М.: Наука, 1974. 640 с. [Cherepanov, G.P. Mechanics of brittle failure. Nauka, Moscow, 1974. (In Russian)]
  4. Бабешко В.А, Евдокимова О.В., Бабешко О.М. Сложение упакованных блочных элементов и их гомеоморфизмы // Экологический вестник научных центров Черноморского экономического сотрудничества. 2017. №2. С. 32-35. [Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M. Addition of packaged block elements and their homeomorphisms. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2017, no. 2, pp. 32-35. (In Russian)]

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Issue

Pages

20-23

Section

Mechanics

Dates

Submitted

March 11, 2018

Accepted

March 13, 2018

Published

March 19, 2018

How to Cite

[1]
Babeshko, O.M., Evdokimova, O.V., Babeshko, V.A., One new type of crack. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2018, т. 15, № 1, pp. 20–23. DOI: 10.31429/vestnik-15-1-20-23

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