Skip to main content
SpringerLink
Log in

Healing of Cracks in a Transtropic Elastic Body Under Torsion

  • Published:
Materials Science Aims and scope

A mathematical model of crack healing in a transtropic cylinder subjected to torsional deformation is constructed. The problem is reduced to solving the integral equation with respect to the displacements of the crack surfaces. For the case when the crack is filled in the entire volume, an exact analytical solution of the corresponding integral equation is obtained. The effectiveness of cylinder strengthening depending on the geometric parameters of the crack and the mechanical characteristics of the injection material after solidification is determined.

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

Similar content being viewed by others

References

  1. L. Czarnecki, and P. H. Emmons, Naprava i Ochrona Konstrukcji Betonowych [in Polish], Polski Cement, Krakow (2002).

  2. V. V. Panasyuk., V. I. Marukha, and V. P. Sylovanyuk, Injection Technologies for the Repair of Damaged Concrete Structures, Springer, Dordrecht (2014); https://doi.org/10.1007/978-94-007-7908-2.

  3. V. P Sylovanyuk, and N. A Ivantyshyn, “Healing of cracks in anisotropic bodies,” Mater. Sci., 55, No. 6, 804–811(2020); https://doi.org/https://doi.org/10.1007/s11003-020-00373-6.

    Article  Google Scholar 

  4. H.-Ch. Hu, “On the three-dimensional problems of the theory of elasticity of a transversely isotropic body,” Acta Phys. Sin., 9, Is. 2, 130–148 (1953); https://doi.org/10.7498/aps.9.130.

  5. E. P. Chen, and G. C Sihm, “Torsional and anti-plane strain delamination of an orthotropic layered composite,” in: Proc. of the 13th Midwestern Mechanics Conf. (Pittsburgh, Pennsylvania, August 13–15, 1973), Pittsburgh (1973), pp. 763–776.

  6. S. G. Lekhintsi, Anisotropic Plates [in Russian], Gostekhizdat, Moscow (1957).

    Google Scholar 

  7. G. P. Cherepanov, Brittle Fracture Mechanics [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  8. I. H. Sneddon, Mixed Boundary Value Problems in Potential Theory, North Holland Publishing Company, Amsterdam (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Karpenko Physicomechanical Institute, National Academy of Sciences of Ukraine, Lviv, Ukraine

    V. P. Sylovanyuk, N. A. Ivantyshyn & M. V. Filipov

Authors
  1. V. P. Sylovanyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. A. Ivantyshyn
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. V. Filipov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. P. Sylovanyuk.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 58, No. 5, pp. 102–106, September–October, 2022

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

Sylovanyuk, V.P., Ivantyshyn, N.A. & Filipov, M.V. Healing of Cracks in a Transtropic Elastic Body Under Torsion. Mater Sci 58, 664–669 (2023). https://doi.org/10.1007/s11003-023-00714-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11003-023-00714-1

Keywords

Search

Navigation