Journal of Materials Science

, Volume 17, Issue 1, pp 115–120 | Cite as

Growth of a debonded void at a rigid secondary particle in a viscous metal

  • Minoru Taya
  • William G. Patterson


When a ductile two-phase material is subjected to a high strain-rate deformation, the secondary particles nucleate voids, which will grow and coalesce, in a viscous matrix, leading to a dynamic ductile fracture. If the secondary particle is strong, the void nucleates at the matrix—particle interface and will grow without the shattering of the secondary particle. In this paper the growth of a debonded void at the secondary particle in a viscous metal has been studied theoretically in order to simulate the dynamic ductile fracture of two-phase materials. It has been assumed that the matrix is viscous and that the second-phase consists of randomly-dispersed rigid spherical particles. The analytical technique used in our study is a combination of the equivalent inclusion method of Eshelby and the back stress analysis method of Mori and Tanaka, by which the interaction between debonded voids are accounted for; hence the results presented are valid even for large volume-fractions of debonded voids. The theoretical results obtained in this study are compared with those for the case of complete voids nucleated by the shattering of weak particles.


Theoretical Result Spherical Particle Stress Analysis Ductile Fracture Secondary Particle 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. Kumar andR. G. Kumble,J. Appl. Phys. 40 (1969) 3475.Google Scholar
  2. 2.
    A. Kumar, F. E. Hauser andJ. E. Dorn,Acta Metall. 16 (1968) 1189.Google Scholar
  3. 3.
    M. Taya andE. D. Seidel,Int. J. Eng. Sci. 19 (1981) 1083.Google Scholar
  4. 4.
    B. Budiansky, J. W. Hutchingson andS. Stutsky, in “Mechanics of Solids”, The Rodney Hill 60th Anniversary Volume, edited by H. G. Hopkins and M. J. Sewell (Pergamon Press, Oxford and New York, to be published).Google Scholar
  5. 5.
    J. D. Eshelby,Proc. Roy. Soc. A241 (1957) 376.Google Scholar
  6. 6.
    T. Mori andK. Tanaka,Acta Metall. 27 (1973) 571.Google Scholar
  7. 7.
    T. Mura, “Micromechanics of Defects in Solids” (Noordhoff International Publishing Co.), to be published.Google Scholar
  8. 8.
    I. C. Wang,J. Appl. Mach. 32 (1965) 651.Google Scholar
  9. 9.
    I. G. Palmer andG. C. Smith, “Oxide Dispersion Strengthening” (Metals Society Contents of AIME, Botton Landing, 1966) 253.Google Scholar

Copyright information

© Chapman and Hall Ltd 1982

Authors and Affiliations

  • Minoru Taya
    • 1
  • William G. Patterson
    • 1
  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of DelawareNewarkUSA

Personalised recommendations