Advertisement

International Applied Mechanics

, Volume 36, Issue 7, pp 954–960 | Cite as

Study of the tensile fracture of plates with a rigid linear inclusion

  • L. T. Berezhnitskii
  • M. N. Kundrat
Article
  • 31 Downloads

Abstract

The limit equilibrium of elastoplastic body is studied under the conditions of a plane problem. The body contains a linear inclusion, which is rigid but of finite rupture strength. The plastic or prefracture zones develop near the ends of the inclusion and are modeled by slip cracks along the matrix—inclusion interface. A new interpretation of the boundary conditions is proposed to solve a model problem for such a composition, and its analytical solution is derived. Two possible mechanisms of local fracture are considered: (a) fracture of the inclusion and (b) separation of the inclusion. The critical length of the inclusion is determined. This length together with the elastic and strength parameters of the composition determines the mechanism of local fracture. The limit loads are found for each mechanism of fracture.

Keywords

Axial Force Slip Band Local Fracture Rigid Inclusion Prefracture Zone 
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.
    L. T. Berezhnitskii and N. M. Kundrat, “On plastic bands near the tip of a linear rigid inclusion,”Probl. Proch., No. 11, 66–69 (1982).Google Scholar
  2. 2.
    L. T. Berezhnitskii and N. M. Kundrat, “Initiation and development of plastic strains near an acute-angled rigid inclusion,”Fiz.-Khim. Mekh. Mater.,19, No. 6, 69–78 (1983).Google Scholar
  3. 3.
    L. T. Berezhnitsky and N. M. Kundrat, “The local fracture of a structure with a rigid linear inclusion,”Fiz.-Khim. Mekh. Mater.,31, No. 4, 60–67 (1995).Google Scholar
  4. 4.
    N. M. Kundrat, “The local fracture of an orthotropic matrix with a linear inclusion,”Prikl Mekh.,32, No. 8, 63–71 (1996).Google Scholar
  5. 5.
    N. M. Kundrat, “The elastoplastic equilibrium of an orthotropic composite with a system of collinear filaments—inclusions,”Prikl. Mekh.,33, No. 5, 55–59 (1997).zbMATHGoogle Scholar
  6. 6.
    N. I. Muskheshvili,Some Basic Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).Google Scholar
  7. 7.
    V. V. Panasyuk,The Limiting Equilibrium of Brittle Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1968).Google Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • L. T. Berezhnitskii
  • M. N. Kundrat

There are no affiliations available

Personalised recommendations