Continuum Analyses for Intersonic and Supersonic Fracture


Article Preview

The issues of intersonic and supersonic fracture become the frontier of dynamic fracture mechanics. We describe in this paper the recent progresses in obtaining the analytical continuum solution for the initial-boundary valued problem of intersonic fracture under mode II loading, and construct an plausible analytical solution for mode III supersonic fracture.



Key Engineering Materials (Volumes 261-263)

Edited by:

Kikuo Kishimoto, Masanori Kikuchi, Tetsuo Shoji and Masumi Saka




W. Yang and G. F. Guo, "Continuum Analyses for Intersonic and Supersonic Fracture", Key Engineering Materials, Vols. 261-263, pp. 1-10, 2004

Online since:

April 2004




[1] Burridge, R., 1973. Admissible speeds for plane strain shear cracks with friction but lacking cohesion. Geophys. J. Roy. Soc. Lond., 35, 439-455.


[2] Andrews, D.J., 1976. Rupture velocity of plane strain shear cracks. J. Geophys. Res., 81, 5679- 5687.


[3] Freund, L. B., 1979. The mechanics of dynamics shear crack propagation. J. Geophys. Res., 84, 2199-2209.

[4] Rosakis, A. J., Samudrala, O. and Coker, D., 1999. Cracks faster than the shear wave speed. Science, 284, 1337-1340.


[5] Abraham, F. F., and Gao, H., 2000. How fast can cracks propagate? Phys. Rev. Lett., 84, 3113- 3116.


[6] Huang, Y. and Gao H., 2001. Intersonic crack propagation. Part I: The Fundamental Solution. Journal Applied Mechanics, 68, 169-175.


[7] Needleman, A., 1999. An analysis of intersonic crack growth under shear loading. ASME J. Appl. Mech., 66, 847-857.


[8] Abraham, F. F., Walkup R., Gao, H., et al., 2002. Simulating materials failure by using up to one billion atoms and the world's fastest computer: Brittle fracture. Proc. National Academy of Sciences USA 99, 5777-5782.


[9] Guo, G. F., Yang, W. and Huang, Y., 2003. Intersonic crack growth under time dependent loading. Accepted for publication in Inter. J. Solids & Structures.

[10] Guo, G. F., Yang, W., Huang, Y. and Rosakis, A. J., 2003. Sudden deceleration or acceleration of an intersonic shear crack. J. Mech. Phys. Solids, 51, 311-331.


[11] Guo, G. F., Yang, W., Huang, Y. 2003. Supersonic crack growth in a solid of upturn stress-strain relation under anti-plane shear. To appear in J. Mech. Phys. Solids.


[12] Hwang, K. C. and Yu, S. W., 1985. Elastic-plastic Fracture Mechanics. Tsinghua University Press, Beijing.

[13] Rice, J. R., 1966. Contained plastic deformation near cracks and notches under longitudinal shear. Int. J. Fracture Mech., 2, 426-447.