Skip to main content
Log in

Plastic Exfoliation of a Periodic System of Thin Near-Boundary Inclusions

  • Published:
Materials Science Aims and scope

We obtain a numerical-analytic solution of an antiplane problem of the stress-strain state of elastoplastic half space containing a periodic system of thin rigid tunnel inclusions parallel to the boundary of the half space. Prior to loading, these inclusions were in unilateral mechanical contact with the medium. We determine the stress-strain state and study the phenomenon of plastic exfoliation of the inclusions. The diagrams of the critical load are plotted on the coordinates of the geometric parameters of the system of inclusions under the condition of constancy of the critical length of interface plastic strips.

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

Access this article

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.
Fig. 4.
Fig. 5.

Similar content being viewed by others

References

  1. V. P. Sylovanyuk, V. I. Marukha, and N. V. Onyshchak, “Residual strength of cylindrical elements with cracks healed by the injection technology,” Fiz.-Khim. Mekh. Mater., 43, No. 1, 99–103 (2007); English translation: Mater. Sci., 43, No. 1, 109–116 (2007).

  2. V. P. Sylovanyuk, R. Ya. Yukhym, and P. V. Horbach, “ Deformation and fracture of materials near spheroidal inclusions,” Fiz.-Khim. Mekh. Mater., 46, No. 6, 99–103 (2011); English translation: Mater. Sci., 46, No. 6, 757–762 (2011).

  3. H. T. Sulym, Foundations of the Mathematical Theory of Thermoelastic Equilibrium of Deformable Solids with Thin Inclusions: A Monograph [in Ukrainian], Shevchenko Scientific Society, Lviv (2007).

  4. V. A. Kryven, G. T. Sulym , and M. I. Yavorska, “Plastic interfacial slip of periodic systems of rigid thin inclusions undergoing longitudinal shear,” J. Theor. Appl. Mech., 44, No. 4, 837–848 (2006).

    Google Scholar 

  5. B. V. Shabat, Introduction to Complex Analysis, American Mathematical Society, Providence, RI (1992).

    Google Scholar 

  6. N. I. Akhiezer, Elements of the Theory of Elliptic Functions [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  7. V. A. Kryven’, V. B. Valiashek, and M. I. Yavors’ka, “Plastic exfoliation of a thin stiff inclusion parallel to the boundary of half space in the case of its unilateral contact with the medium,” Fiz.-Khim. Mekh. Mater., 54, No. 2, 64–69 (2018); English translation: Mater. Sci., 54, No. 2, 202–208 (2018).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. А. Kryven.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 56, No. 1, pp. 89–93, January–February, 2020.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kryven, V.А., Boiko, А.R., Valyashek, V.B. et al. Plastic Exfoliation of a Periodic System of Thin Near-Boundary Inclusions. Mater Sci 56, 90–96 (2020). https://doi.org/10.1007/s11003-020-00401-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11003-020-00401-5

Keywords

Navigation