Skip to main content
SpringerLink
Log in

The Influence of Nonconductive Disk-Shaped Inclusions on the DC Conductivity of Materials

  • THEORETICAL AND MATHEMATICAL PHYSICS
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The influence of nonconductive disk-shaped inclusions (cracks) on the dc conductivity of a conducting medium has been considered. The functional dependences of an additional relative resistivity of the material on cracking factor (joining ratio) have been found for thin and thick samples. It has been found that the cracking-induced additional relative resistivity of a thick conducting material grows as a cube root of the cracking factor (for all reasonable values of the cracking factor). If the material is thin, the cracking factor dependence of the additional resistivity is linear only at very low cracking and becomes nonlinear with increasing cracking.

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

Fig. 1.
Fig. 2.
Fig. 3.

Similar content being viewed by others

REFERENCES

  1. J. I. Goldstein, D. E. Newbury, P. Echlin, D. C. Joy, Ch. Fiori, and E. Lifshin, Scanning Electron Microscopy and X-Ray Microanalysis (Springer, New York, 1981). https://doi.org/10.1007/978-1-4613-3273-2

  2. V. S. Yamshchikov, V. L. Shkuratnik, and A. V. Bobrov, Fiz.-Tekh. Probl. Razrab. Polez. Iskop., No. 4, 110 (1985).

  3. V. L. Shkuratnik and A. V. Lavrov, Prikl. Mekh. Tekh. Fiz. 37 (6), 165 (1996).

    Google Scholar 

  4. M. I. Shvidler, Statistical Hydrodynamics of Porous Media (Nedra, Moscow, 1985) [in Russian].

    MATH  Google Scholar 

  5. P. E. Sizin and V. L. Shkuratnik, Gorn. Inform. Analit. Byull., No. 3, 212 (2015).

  6. E. P. Fel’dman, Ya. I. Granovskii, N. A. Kalugina, and E. A. Vinnik, Fiz.-Tekh. Probl. Gorn. Proizvod., No. 13, 39 (2010).

  7. V. V. Rzhevskiy and G. Ya. Novik, Fundamentals of Rock Physics (Nedra, Moscow, 1978) [in Russian].

    Google Scholar 

  8. R. L. Salganik, Inzh.-Fiz. Zh. 27 (6), 1069 (1974).

    Google Scholar 

  9. R. L. Salganik, Preprint No. 154 (IPM AN SSSR, Moscow, 1980).

  10. L. I. Stefanovich, E. P. Fel’dman, and O. V. Chesnokova, Fiz.-Tekh. Probl. Gorn. Proizvod., No. 21, 43 (2019).

  11. N. E. Kochin, I. A. Kibel’, and N. V. Roze, Theoretical Hydromechanics (Interscience, New York, 1964).

    MATH  Google Scholar 

Download references

ACKNOWLEDGMENTS

The author thanks Prof. E.P. Fel’dman for fruitful discussions.

Author information

Authors and Affiliations

  1. Institute for Physics of Mining Processes, National Academy of Sciences of Ukraine, 49005, Dnepr-5, Ukraine

    L. I. Stefanovich

Authors
  1. L. I. Stefanovich
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. I. Stefanovich.

Ethics declarations

The author declares that he has no conflicts of interests.

Additional information

Translated by V. Isaakyan

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Stefanovich, L.I. The Influence of Nonconductive Disk-Shaped Inclusions on the DC Conductivity of Materials. Tech. Phys. 66, 196–200 (2021). https://doi.org/10.1134/S1063784221020201

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784221020201

Search

Navigation