On one condition for the development of an isolated defect

Authors

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

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 Infos

Vladislav I. Dunaev

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

e-mail: dunaevatv@mail.ru

Ivan A. Tereshchenko

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

e-mail: ongptr@mail.ru

Sergei Yu. Moldavanov

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

e-mail: sum-smsm@mail.ru

Evgeniy I. Velichko

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

e-mail: johnbottle@mail.ru

Stanislav I. Shiyan

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

e-mail: akngs@mail.ru

References

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  2. Griffith, A.A. The theory of rupture. Proc. of the 1-st Int. Congr. On Appl. Mech. Delft. 1924. J. Waltman. Jr., Delft. 1925, pp. 55–63.
  3. Dunaev, I.M., Dunaev, V.I. Ob energeticheskom uslovii razrusheniya tverdykh tel [On the energy condition for the destruction of solids]. Doklady Akademii nauk [Rep. of the Academy of Sciences], 2000, vol. 372, no. 1, pp. 43–45. (In Russian)
  4. Dunaev, I.M., Dunaev, V.I. Energeticheskoe uslovie razrusheniya tverdykh tel [Energy condition for the destruction of solids]. Mekhanika tverdogo tela [Rigid body mechanics], 2003, no. 6, pp. 69–81. (In Russian)
  5. Dunaev, I.M., Dunaev, V.I. Macroscopic Criterion for Brittle Fracture of Solids. Proc. of the 7-th EVROMECH. Solid Mechanics Conference 2009 Portugal, Lisbon. p. 117–118.
  6. Zheltov, Yu.P., Khristianovich, S.A. O gidravlicheskom razryve neftenosnogo plasta [On hydraulic fracturing of oil-bearing strata]. Izvestiya akademii nauk SSSR. Otdelenie tekhn. nauk [Izvestia of the Academy of Sciences of the USSR. Department of Engineering Sciences], 1955, no. 5, pp. 3–41. (In Russian)
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Issue

Section

Mechanics

Pages

8-13

Submitted

2021-04-07

Published

2021-06-28

How to Cite

Dunaev V.I., Tereshchenko I.A., Moldavanov S.Yu., 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, vol. 18, no. 2, pp. 8-13. DOI: https://doi.org/10.31429/vestnik-18-2-8-13 (In Russian)