Advertisement

Materials Science

, Volume 38, Issue 1, pp 47–54 | Cite as

Elastoplastic Equilibrium of a Composition Containing an Elastic High-Modulus Inclusion

  • M. M. Kundrat
Article
  • 17 Downloads

Abstract

We pose and solve a two-dimensional model elastoplastic problem for a body containing a high-modulus elastic inclusion. Plasticity zones develop in the vicinity of the tips of the inclusion along its boundary. The problem is reduced to the solution of a singular integro-differential equation, which, in turn, is reduced to an infinite system of equations. The influence of the compliance of the inclusion on the sizes of the plasticity zones is analyzed.

Keywords

Plasticity Zone Infinite System Elastic Inclusion Elastoplastic Problem Elastoplastic Equilibrium 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. 1.
    N. Kh. Arutyunyan, “Contact problem for a half plane with elastic fastening,” Prikl. Mat. Mekh., 32, No. 4, 632–646 (1968).Google Scholar
  2. 2.
    A. I. Kalandiya, “Stressed state in plates strengthened by stiffening ribs,” Prikl. Mat. Mekh., 33, No. 3, 538–543 (1969).Google Scholar
  3. 3.
    L. T. Berezhnitskii and N. M. Kundrat, “Investigation of the fracture of a plate containing a linear rigid inclusion,” Prikl. Mekh., 36, No. 7, 123–129 (2000).Google Scholar
  4. 4.
    N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).Google Scholar
  5. 5.
    L. V. Nikitin and A. N. Tumanov, “Analysis of the local fracture in composites,” Mekh. Kompozit. Mater., No. 4, 595-601 (1981).Google Scholar
  6. 6.
    J. Shiori and K. Inoue, “Micromechanics of interfacial failure in short fiber reinforced composite materials,” in: Rep. of the 1st Soviet-Japanese Symp. on Composite Materials [in Russian], Moscow (1979), pp. 286–295.Google Scholar
  7. 7.
    É. I. Grigolyuk and V. M. Tolkachev, Contact Problems in the Theory of Plates and Shells [in Russian], Mashinostroenie, Moscow (1980).Google Scholar
  8. 8.
    V. M. Aleksandrov and S. M. Mkhitaryan, Contact Problems for Bodies with Thin Coatings and Intermediate Layers [in Russian], Nauka, Moscow (1983).Google Scholar

Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • M. M. Kundrat
    • 1
  1. 1.Rivne

Personalised recommendations