Skip to main content
SpringerLink
Log in

Local fracture of a composition containing an inclusion with hardening in the prefracture bands

  • Published:
Materials Science Aims and scope

Abstract

We obtain a closed analytic solution of the problem of development of local fracture in a composition containing a rigid inclusion in the form of a fiber. Under the action of the load, near the ends of the inclusion, we observe the development of plastic zones (prefracture bands). These zones are modeled by the discontinuities of tangential displacements on the matrix-inclusion boundary. In the prefracture bands, the material is elastoplastic with hardening. Outside these bands, the material is elastic. The dimensions of the bands are determined. By analogy with the well-known δ-model in the theory of cracks, we use a deformation criterion to find the ultimate load of exfoliation of the fiber.

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

Similar content being viewed by others

References

  1. J. Shioiri and K. Inoue, “Micromechanics of interfacial failure in short fibre-reinforced composite materials,” in:Rep. of the Ist So- viet-Japanese Symp. on Composite Materials [in Russian], Moscow (1979), pp. 286–295.

  2. L. V. Nikitin, A. N. Tumanov, “Analysis of local fracture in a composite,”Mekh. Kompozit. Mater., No. 4, 595–601 (1981).

    Google Scholar 

  3. L. T. Berezhnitskii and N. M. Kundrat, “Local elastoplastic fracture of one class of composite materials,”Fiz.-Khim. Mekh. Mater.,19, No. 5, 47–53(1983).

    Google Scholar 

  4. M. M. Kundrat, “Fracture near inclusion for a nonlinear distribution of stresses in the prefracture zones,”Fiz-Khim. Mekh. Mater.,34, No. 6, 32–38(1998).

    Google Scholar 

  5. N. I. Muskheshvili,Some Principal Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  6. L. T. Berezhnitskii, M. V. Delyavskii, and V. V. Panasyuk,Bending of Thin Plates with Cracklike Defects [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  7. L. T. Berezhnitskii, V. V. Panasyuk, and N. G. Stashchuk,Interaction of Rigid Linear Inclusions with Cracks in Deformable Bodies [in Russian], Naukova Dumka, Kiev (1983).

    Google Scholar 

  8. N. G. Stashchuk,Problems of Mechanics of Elastic Bodies with Cracklike Defects [in Russian], Naukova Dumka, Kiev (1993).

    Google Scholar 

  9. V. V. Panasyuk,Limiting Equilibrium of Brittle Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Rivne State University, Rivne

    M. M. Kundrat

Authors
  1. M. M. Kundrat
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 36, No. 2, pp. 27–32, March-April, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kundrat, M.M. Local fracture of a composition containing an inclusion with hardening in the prefracture bands. Mater Sci 36, 178–186 (2000). https://doi.org/10.1007/BF02767538

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02767538

Keywords

Search

Navigation