Skip to main content
Log in

Calculation of the Critical Radius of an Inclusion for Fracture from a Porous Matrix under the Conditions of Plastic Deformation

  • Published:
Powder Metallurgy and Metal Ceramics Aims and scope

Abstract

This work is concerned with the theoretical determination of the critical radius of a rigid inclusion at the moment of its decohesion from the material of a porous matrix. The criterion of V. V. Skorokhod served as the basis for analysis of the limiting state. Change of the porosity and accumulated strain of the solid phase in the process of plastic deformation were taken into account in the calculations. It is shown that the values of investigated properties depend on the concentration of inclusions and the porosity of the ductile layer. The dependence of accumulated strain in the solid phase on porosity was obtained.

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.

Similar content being viewed by others

REFERENCES

  1. W. C. Johnson and K. J. Lee, “An integral equation approach to the inclusion problem of elastoplasticity,” Trans ASME, Appl. Mech., 49, No. 2, 312–318 (1982).

    Google Scholar 

  2. A. V. Krajnikov, A. N. Demidik, and N. M. Ortner, “Mechanical properties and interphase boundary composition of ferritic steel strengthened by yttrium and titanium disperse oxides,” Mat. Sci. Eng., A234–236, 357–360 (1997).

    Google Scholar 

  3. V. I. Trefilov and V. F. Moiseev, Dispersed Particles in Refractory Metals [in Russian], Nauk. Dumka, Kiev (1978).

    Google Scholar 

  4. V. Skorokhod, M. Shtern, and S. Kudela, “Strain path effect on debonding and non-linear constitutive model ceramic matrix composite,” Kluwer Academic Pub., New York (1997), pp. 85–98.

    Google Scholar 

  5. I. F. Martynova and M. B. Shtern, “Equation for plastic porous bodies considering the true strain in the base material,” Poroshk. Metall., No. 1, 23–29 (1978).

    Google Scholar 

  6. M. B. Shtern, G. G. Serdyuk, L. A. Maksimenko, et al., Phenomenological Theories of Powder Compaction, Nauk. Dumka, Kiev (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shtern, M.B. Calculation of the Critical Radius of an Inclusion for Fracture from a Porous Matrix under the Conditions of Plastic Deformation. Powder Metallurgy and Metal Ceramics 42, 478–490 (2003). https://doi.org/10.1023/B:PMMC.0000013220.88819.a6

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:PMMC.0000013220.88819.a6

Navigation