Advertisement

Materials Science

, Volume 54, Issue 2, pp 202–208 | Cite as

Plastic Exfoliation of a Thin Stiff Inclusion Parallel to the Boundary of Half Space in the Case of its Unilateral Contact with the Medium

  • V. A. Kryven’
  • V. B. Valiashek
  • M. I. Yavors’ka
Article
  • 3 Downloads

We obtain a numerical-analytic solution of the antiplane problem of stress-strain state of the elastoplastic half space with a thin rigid tunnel inclusion parallel to the boundary of the half space. It is assumed that, prior to loading, the inclusion is in unilateral mechanical contact with the medium. The specific features of plastic exfoliation of the inclusion are analyzed. Some partial cases are investigated.

Keywords

unilaterally exfoliated inclusion interface plastic strips antiplane deformation analytic solution 

References

  1. 1.
    G. T. Sulym, Foundations of the Mathematical Theory of Thermoelastic Equilibrium of Deformed Solids with Thin Inclusions [in Ukrainian], Shevchenko Sci. Community, Lviv (2007).Google Scholar
  2. 2.
    V. V. Panasyuk, M. M. Stadnik, and V. P. Silovanyuk, Concentration of Stresses in Three-Dimensional Bodies with Thin Inclusions [in Russian], Naukova Dumka, Kiev (1986).Google Scholar
  3. 3.
    V. A. Kryven', and V. B. Valіashek, “Initial stage of plastic exfoliation of a rectangular inclusion under conditions of unilateral contactwith a medium,” J. Math. Sci., 171, No. 4, 107–116 (2010).Google Scholar
  4. 4.
    V. A. Kryven, G. T. Sulym, and M. I. Yavors'ka, “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. 5.
    V. I. Bol’shakov, I. V. Andrianov, and V. V. Danishevskii, Asymptotic Methods for the Numerical Analyses of the Composites with Regard for Their Internal Structure [in Russian], Porogi, Dnepropetrovsk (2008).Google Scholar
  6. 6.
    V. V. Sil’vestrov and A. K. Yardukhin, “Interface crack and the exfoliated thin stiff smooth interface inclusion under complex loading,” in: Problems of the Mechanics of Inelastic Deformations [in Russian], Fizmatlit, Moscow (2001), pp. 301–313.Google Scholar
  7. 7.
    M. V. Lavrenyuk, “Study of the stress-strain state of a bounded plate with two inclusions under the conditions of perfect and imperfect contacts,” Visn. Kyiv. Univ., No. 2, 40–49 (1999).Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • V. A. Kryven’
    • 1
  • V. B. Valiashek
    • 1
  • M. I. Yavors’ka
    • 1
  1. 1.Pulyui Ternopil’ National Technical UniversityTernopilUkraine

Personalised recommendations