On the comparison of Griffiths-Irwin cracks with the new type of cracks

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
  • Khripkov D.A. Kuban State University, Krasnodar, Russian Federation

UDC

539.3

EDN

HPGDXO

DOI:

10.31429/vestnik-15-3-19-24

Abstract

Based on the analysis of the causes of the occurrence of starting earthquakes and hidden defects, the existence of a new type of cracks, previously not described in terms of its strength properties, was revealed. In the plane problems of the theory of elasticity the Griffiths-Irwin cracks are characterized by smooth boundaries. The new type of cracks has a piecewise smooth boundary, and their shape, which is a crack in the form of a straight line segment, has been known for a long time. These cracks are less strong, since they allow a singular concentration of stresses in the medium. A way of the appearance of cracks of the new type, with which starting earthquakes are associated, is demonstrated. It is shown that with the correct choice of function spaces when solving boundary problems for the new type of cracks, they actually complement the Griffiths-Irwin cracks and make a definite contribution to the theory of strength and fracture of materials.

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. (проект 9.8753.2017/8.9), ЮНЦ РАН на 2018 г. (проект 00-18-04) № госрегистрации 01201354241, программ президиума РАН П-16 (проект 00-18-21) и П-52 (проект 00-18-29) и при поддержке грантов РФФИ (проекты 16-41-230214, 16-41-230218, 16-48-230216, 17-08-00323, 18-08-00465, 18-01-00384, 18-05-80008).

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

  • Dmitriy A. Khripkov

    научный сотрудник Кубанского государственного университета

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Issue

Vol. 15 (2018) No. 3

Pages

19-24

Section

Mechanics

Dates

Submitted

August 11, 2018

Accepted

August 20, 2018

Published

September 29, 2018

How to Cite

[1]
Babeshko, O.M., Evdokimova, O.V., Babeshko, V.A., Khripkov, D.A., On the comparison of Griffiths-Irwin cracks with the new type of cracks. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2018, т. 15, № 3, pp. 19–24. DOI: 10.31429/vestnik-15-3-19-24

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Copyright (c) 2018 Бабешко О.М., Евдокимова О.В., Бабешко В.А., Хрипков Д.А.

Creative Commons License

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

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