Skip to main content
Log in

The crack tip zone shielding effect for ductile particle reinforced brittle materials

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

The crack tip zone shielding effect for the ductile particle reinforced brittle materials is analyzed by using a micromechanics constitutive theory. The theory is developed here to determine the elastoplastic constitutive behavior of the composite. The elastoplastic particles, with isotropic or kinematical hardening, are uniformly dispersed in the brittle elastic matrix. The method proposed is based on the Mori-Tanaka's concept of average stress in the composite. The macroscopic yielding condition and the incremental stress strain relation of the composite during plastic deformation are explicity given in terms of the macroscopioc applied stress and the microstructural parameters of the composite such as the volume fraction and yield stress of ductile particles, elastic constants of the two phases, etc. Finally, the contribution of the plastic deformation in the particles near a crack tip to the toughening of the composite is evaluated.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Evans AG. Perspective on the development of high-toughness ceramics. J Am Ceram Soc, 1990, 73 (2): 187–206

    Article  Google Scholar 

  2. Sigl LS, Matage, PA, Dalgleish BJ, McMeeking RM, Evans AG. On the toughness of brittle materials reinforced with a ductile phase. Acta metall, 1988, 36 (4): 945–953

    Article  Google Scholar 

  3. Budiansky B, Amazigo JC, Evans AG. Small-scale crack bridging and the fracture toughness of particulate-reinforced ceramics. J Mech Phys Solids, 1988, 36 (2): 167–187

    Article  Google Scholar 

  4. Amazigo JC, Budiansky B. Interaction of particulate and transformation toughening. J Mech Phys Solids, 1988, 36 (5): 581–595

    Article  Google Scholar 

  5. Mura T. Micromechanics of defects in solids. Martinus Nijhoff, Dordrecht, 1987

    Google Scholar 

  6. Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta metall, 1973, 21 (5): 571–574

    Article  Google Scholar 

  7. Norris AN. An examination of the Mori-Tanaka effective medium approximation for multiphase composites. J Applied Mechanics, Transactions of the ASME, 1989, 56 (1): 83–88

    Article  MATH  MathSciNet  Google Scholar 

  8. Hutchinson JW. Singular behavior at the end of a tensile crack in a hardening material. J Mech Phys Solids, 1968, 16 (1): 13–31

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The project supported by National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qingping, S., Kehchih, H. The crack tip zone shielding effect for ductile particle reinforced brittle materials. Acta Mech Sinica 8, 136–139 (1992). https://doi.org/10.1007/BF02487160

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02487160

Key Words

Navigation