Dynamic Fracture Toughness and Crack Propagation in Brittle Material

  • Tadashi Shioya
  • Fenghua Zhou
Conference paper
Part of the IUTAM Symposia book series (IUTAM)

Summary

Experiments of crack propagation in PMMA plates are performed from which the dynamic fracture toughness G c of the material is obtained. The relationship between G c , and crack velocity v 0 is associated to the characteristic appearance on the fracture surface. Periodic patterns are observed on the fracture surface which suggest local oscillation of crack velocity. A model for analyzing crack propagation by global energy equilibrium concept is proposed, from which crack motion equation is deduced. Unstable crack propagation and local velocity oscillation is explained using this equation and the particular G c (v 0 ) relationship.

Key Word

Brittle fracture dynamic fracture toughness crack motion equation propagation instability 
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References

  1. [1]
    J. Carlsson, L. Dahlberg and F. Nilsson, Experimental studies of unstable phase of crack propagation in metals and polymers, Dynamic Crack Propagation, Noordhoff Int. Pub., Leyden, pp 165–181, 1973.Google Scholar
  2. [2]
    W. G. Knauss and K. Ravi-Chandar, Some basic problems in stress wave dominated fracture, International Journal of Fracture, 27, pp 127–143, 1985CrossRefGoogle Scholar
  3. [3]
    J. W. Daily, W. L. Foumey and G. R. Irwin, On the uniqueness of the stress intensity factor-crack velocity relationship, International Journal of Fracture, 27, pp 159–168, 1985CrossRefGoogle Scholar
  4. [4]
    L. B. Freund, Dynamic fracture mechanics, Cambridge University Press, 1990Google Scholar
  5. [5]
    T. Shioya, F. Zhou and R. Ishida, Micro-cracking process in dynamic brittle fracture, DYMAT Journal, 2, No. 3, 1995Google Scholar
  6. [6]
    J. Fineberg, S. P. Gross, M. Marden and H. L. Swinney, Instability in the propagation of fast cracks, Physical Review B, 45, pp 5146–5154, 1992ADSCrossRefGoogle Scholar
  7. [7]
    P. D. Washabaugh and K. G. Knauss, Non-steady, periodic behavior in the dynamic fracture of PMMA, International Journal of Fracture, 59, pp 189–197, 1993CrossRefGoogle Scholar
  8. [8]
    K. Fujimoto and T. Shioya, Elastic analysis of dynamic crack propagation in fixed sided plates, Proceedings of 20th Japan Congress Material Research, pp 49–58, 1985Google Scholar
  9. [9]
    X. Liu and M. Marden, The energy of a steady-state crack in a strip, Journal of Mechanics and Physics of solids 39, No. 7, pp 947–961, 1991ADSCrossRefGoogle Scholar
  10. [10]
    A. K. Green and P. L. Pratt, Measurement of the dynamic fracture toughness of PMMA by high-speed photography, Engineering Fracture Mechanics, 6, pp71–80, 1974Google Scholar
  11. [11]
    F. F. Abraham, D. Brodbeck, R. A. Rafey and W. E. Rudge, Instability dynamics of fracture: A computer simulation investigation, Physical Review Letters 73, No. 2, pp 272–275, 1994ADSCrossRefGoogle Scholar
  12. [12]
    L. Dahlberg, F. Nilsson and B. Brickstad, Influence of specimen geometry om crack propagation and arrest toughness, Crack Arrest Methodology and Applications, ASTM STP 711, pp 89–108, 1980Google Scholar
  13. [13]
    K. Takahashi and K. Arakawa, Dependence of crack acceleration on the dynamic stress-intensity factor in polymers, Experimental Mechanics 27, pp 195–199, 1987CrossRefGoogle Scholar
  14. [14]
    K. Arakawa and K. Takahashi, Relationships between fracture parameters and fracture surface toughness of brittle polymers, International Journal of Fracture, 48, pp 103–114, 1991CrossRefGoogle Scholar

Copyright information

© Springer Japan 1996

Authors and Affiliations

  • Tadashi Shioya
    • 1
  • Fenghua Zhou
    • 1
  1. 1.Department of Aeronautics and AstronauticsUniversity of TokyoBunkyo-ku, Tokyo 113Japan

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