Abstract
Mode-III crack propagating in a fixed sided strip is studied by the global energy balance method. First the kinetic energy and the strain energy of the crack system are obtained in analytic forms based on the displacement field of dynamic elastic analysis. Using the energy equilibrium concept, the motion equation of the crack is derived. The acceleration or deceleration of the crack is explained by the derived equation. The phenomena of crack velocity oscillation and unstable propagation are interpreted by the particular characteristics of the fracture toughness and a simulation of the oscillations is demonstrated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L.B. Freund, Dynamic Fracture Mechanics, Cambridge University Press (1990).
L.B. Freund, Journal of Applied Mechanics 54 (1987) 970–973.
M. Watanabe, International Journal of Fracture 49 (1991) 69–77.
H. Gao, Journal of Mechanics and Physics of Solids 41, No. 3 (1993) 457–486.
L.B. Freund, Journal of Mechanics and Physics of Solids 20 (1972) 141–152.
X. Liu and M. Marden, Journal of Mechanics and Physics of Solids 39, No. 7 (1991) 947–961.
A.A. Griffith, Philosophical Transactions of Royal Society (London), Ser. A, 221 (1921) 163–198.
T. Shioya and F. Fujimoto, Transactions of Japan Society for Aeronautical and Space Sciences 25 (1983) 246–257.
K. Fujimoto and T. Shioya, Proceedings of 20th Japan Congress on Material Research (1985) 49–58.
K. Fujimoto and T. Shioya, Journal de Physique 49-C3 (1985) 233–238.
H. Tada, P.C. Paris and G.R. Irwin, The Stress Analysis of Cracks Handbook, Del Research Corporation (1973).
T. Shioya and F. Zhou, paper presented in IUTAM Symposium on Constitutive Relation in High/Very High Strain Rates, Noda, Japan, Oct. 16–19, 1995.
J. Fineberg, S.P. Gross, M. Marden and H.L. Swinney, Physical Review Letters 67 (1992) 457–460.
J. Fineberg, S.P. Gross, M. Marden and H.L. Swinney, Physical Review B 45 (1992) 5146–5154.
P.D. Washabaugh and K.G. Knauss, International Journal of Fracture 59 (1993) 189–197.
A.K. Green and P.L. Pratt, Engineering Fracture Mechanics 6 (1974) 71–80.
F.F. Abraham, D. Brodbeck, R.A. Rafey and W.E. Rudge, Physical Review Letters 73, No. 2 (1994) 272–275.
T. Shioya, F. Zhou and R. Ishida, DYMAT Journal 2, No. 3 (1995).
K. Takahashi and K. Arakawa, Experimental Mechanics 27 (1987) 195–199.
K. Arakawa and K. Takahashi, International Journal of Fracture 48 (1991) 103–114.
T. Shioya and R. Ishida, Dynamic Failure of Materials, Elsevier Applied Science (1991) 351–361.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zhou, F., Shioya, T. Energy balance anlaysis on mode-III dynamic crack propagation in fixed sided strip. Int J Fract 80, 33–44 (1996). https://doi.org/10.1007/BF00036478
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00036478