On one condition for the development of an isolated defect

Authors

  • Dunaev V.I. Kuban State Technological University, Krasnodar, Russian Federation
  • Tereshchenko I.A. Kuban State Technological University, Krasnodar, Russian Federation
  • Moldavanov S.Yu. Kuban State Technological University, Krasnodar, Russian Federation
  • Velichko E.I. Kuban State Technological University, Krasnodar, Russian Federation
  • Shiyan S.I. Kuban State Technological University, Krasnodar, Russian Federation

UDC

539.375, 531.375

DOI:

https://doi.org/10.31429/vestnik-18-2-8-13

Abstract

In the case of a plane stress-strain state, a thermodynamically complete energy condition for the development of an isolated defect is obtained, generalizing the classical condition of A. Griffiths, for the case when destructive loads are applied both to the external contour of the body and to the contour of the isolated defect. This problem arises when modeling hydraulic fracturing of an oil reservoir under the influence of lateral pressure. Taking into account the entropy component of the released internal energy in the proposed brittle fracture condition determines the dependence of critical loads on the characteristic dimensions of the isolated defect, which takes into account the temperature and the linear coefficient of thermal expansion of the material. The A. Griffiths condition does not explicitly take into account the temperature and the linear coefficient of thermal expansion of the material and follows from the proposed condition if the entropy component of the internal energy is neglected.

Author info

  • Vladislav I. Dunaev

    д-р. физ-мат. наук, профессор кафедры оборудования нефтяных и газовых промыслов Кубанского государственного технологического университета

  • Ivan A. Tereshchenko

    старший преподаватель кафедры оборудования нефтяных и газовых промыслов Кубанского государственного технологического университета

  • Sergei Yu. Moldavanov

    канд. физ-мат. наук, доцент кафедры производства строительных конструкций и строительной механики Кубанского государственного технологического университета

  • Evgeniy I. Velichko

    канд. техн. наук доцент, кафедры оборудования нефтяных и газовых промыслов Кубанского государственного технологического университета

  • Stanislav I. Shiyan

    канд. техн. наук, доцент кафедры оборудования нефтяных и газовых промыслов Кубанского государственного технологического университета

References

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Issue

Pages

8-13

Section

Mechanics

Dates

Submitted

April 7, 2021

Accepted

May 18, 2021

Published

June 28, 2021

How to Cite

[1]
Dunaev, V.I., Tereshchenko, I.A., Moldavanov, S.Y., Velichko, E.I., Shiyan, S.I., On one condition for the development of an isolated defect. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2021, т. 18, № 2, pp. 8–13. DOI: 10.31429/vestnik-18-2-8-13

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