Skip to main content
SpringerLink
Log in

Determination of the Stress-Strain State of the Rock Mass Surrounded with Points Lying on a Surface or Inside an Area

  • Published:
Russian Physics Journal Aims and scope

During the operation of certain structures, two questions arise: about the stress-strain state (SSS) at a point and in its neighborhood on the surface of the object under study and in its bulk, and about the remaining material strength in the considered area. The values of stresses and strains not at a point, but in a neighborhood, make it possible to use the results of the proposed research to test existing numerical and analytical calculation schemes, to find the direction of growth or decrease of the quantities under consideration, and to predict catastrophic events. It is proposed to assess the state of the material using classical formulations and methods of solid mechanics, which guarantee the existence and uniqueness of the solution and continuous dependence on the input data. To determine the SSS of the material in the neighborhood of the point, we start with the full unload of the latter in order to determine the unloading displacements at the boundary. The SSS within the area, including stresses at the boundary, is found from the known boundary displacements. When studying the SSS inside the body, it is proposed to install elongated reference elements with their ends reaching the surface. To measure unloading displacements, the existing optical, mechanical, and tensometric systems are used. The uniqueness of the proposed approach is in considering not only radial displacements, but also tangential ones. The aim of the work is experimental and analytical determination of the SSS at any point of the structure and at any time of its non-stop operation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. N. Kuznetsov and M. A. Slobodov, Proc. VNIMI, 22, 151–174 (1950).

    Google Scholar 

  2. N. Hast, Engineering Geology, 2 (1), 5–17 (1967); https://doi.org/10.1016/0013-7952(67)90002-6.

  3. N. P. Vlokh, A. V. Zubkov, and Yu. G. Feklistov, in: Stress Diagnostics in Rock Masses: Collected Papers [in Russian], Novosibirsk (1980), pp. 30–35.

  4. E. R. Leeman, in: Proc. Int. Symp. on the Determination of Stresses in Rock Masses, Lab. Nac. de Eng. Civil, Lisbon (1971), pp. 200–229.

  5. V. L. Shkuratnik and P. V. Nikolenko, Methods for Determining the Stress-Strain State of Rock Massif: A Scientific and Educational Course [in Russian], MSMU, Moscow (2012).

    Google Scholar 

  6. D. N. Melnikov, Herald Kola Science Centre of RAS, 1 (11), 57–61 (2019); https://doi.org/10.25702/KSC.2307-5228.2019.11.1.57-61.

  7. M. V. Kurlenya and S. N. Popov, Theoretical Foundations for Determining Stresses in Rocks [in Russian], Nauka, Novosibirsk (1983).

    Google Scholar 

  8. V. D. Baryshnikov and V. G. Kachal’sky, J. Min. Sci., 46 (3), 338–342 (2010).

  9. S. V. Kuznetsov and E. V. Savostyanov, Method for measuring mechanical stress in a rock massif, Author’s Certificate No. 846730, Bull. No. 26 (1981).

  10. V. Labiouse, C. Sauthier, and S. You, Rock Mech. Rock Eng 47, 43–55 (2014); https://doi.org/10.1007/s00603-012-0332-0.

  11. Y. Yu, W. Yao, K. Xia, et al, Rock Mech. Rock Eng. 56, 1607–1618 (2023); https://doi.org/10.1007/s00603-022-03139-5.

  12. G. I. Gritsko, B. V. Vlasenko, and E. I. Shemyakin, Experimental-Analytical Method for Determining Stresses in a Rock Mass [in Russian], Nauka, Novosibirsk (1976).

    Google Scholar 

  13. G. I. Gritsko and V. N. Tsytsarkin, J. Min. Sci., 31, 169–172 (1995).

    Article  Google Scholar 

  14. Yu. G. Feklistov, Problems of Subsoil Use, 4 (15), 28–32 (2017); https://doi.org/10.18454/2313-1586.2017.04.028.

  15. A. V. Zubkov, Yu. G. Feklistov, Ya. I. Lipin, et al, Problems of Subsoil Use, 4 (11), 41–49 (2016); https://doi.org/10.18454/2313-1586.2016.04.041.

  16. N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, Springer, Dordrecht (1977); https://doi.org/10.1007/978-94-017-3034-1.

    Article  MathSciNet  Google Scholar 

  17. G. N. Savin, Distribution of Stresses around Holes [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

  18. E. I. Shemyakin, in: Problems of Mechanics of Deformable Solids and Rocks, Fizmatlit, Moscow (2006), pp. 26–46.

    Google Scholar 

  19. S. A. Khristianovich, Problems of the Theory of Plasticity and Geomechanics [in Russian], Nauka, Moscow (2008).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Chinakal Institute of Mining, Novosibirsk, Russia

    A. I. Chanyshev, I. M. Abdulin, O. E. Belousova & O. A. Lukyashko

Authors
  1. A. I. Chanyshev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. M. Abdulin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. O. E. Belousova
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. O. A. Lukyashko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. I. Chanyshev.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chanyshev, A.I., Abdulin, I.M., Belousova, O.E. et al. Determination of the Stress-Strain State of the Rock Mass Surrounded with Points Lying on a Surface or Inside an Area. Russ Phys J 66, 1279–1286 (2024). https://doi.org/10.1007/s11182-023-03073-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-023-03073-1

Keywords

Search

Navigation