0
TECHNICAL PAPERS

Intersonic Crack Propagation—Part I: The Fundamental Solution

[+] Author and Article Information
Y. Huang

Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, IL 61801  

H. Gao

Division of Mechanics and Computation, Stanford University, Stanford, CA 94305

J. Appl. Mech 68(2), 169-175 (Nov 09, 2000) (7 pages) doi:10.1115/1.1357871 History: Received June 20, 2000; Revised November 09, 2000
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.

References

Rosakis,  A. J., Samudrala,  O., and Coker,  D., 1999, “Cracks Faster Than the Shear Wave Speed,” Science, 284, pp. 1337–1340.
Freund, L. B., 1990, Dynamic Fracture Mechanics, Cambridge University Press, Cambridge, UK.
Broberg, K. B., 1999, Cracks and Fracture, Academic Press, San Diego, CA.
Washabaugh,  P. D., and Knauss,  W. G., 1994, “A Reconciliation of Dynamic Crack Velocity and Rayleigh-Wave Speed in Isotropic Brittle Solids,” Int. J. Fract., 65, pp. 97–114.
Freund,  L. B., 1979, “The Mechanics of Dynamic Shear Crack Propagation,” J. Geophys. Res., 84, pp. 2199–2209.
Broberg,  K. B., 1989, “The Near-Tip Field at High Crack Velocities,” Int. J. Fract., 39, pp. 1–13.
Gao,  H., Huang,  Y., Gumbsch,  P., and Rosakis,  A. J., 1999, “On Radiation-Free Transonic Motion of Cracks and Dislocations,” J. Mech. Phys. Solids, 47, pp. 1941–1961.
Archuleta,  R. J., 1982, “Analysis of Near Source Static and Dynamic Measurements From the 1979 Imperial Valley Earthquake,” Bull. Seismol. Soc. Am., 72, pp. 1927–1956.
Beroza,  G. C., and Spudich,  P., 1988, “Linearized Inversion for Fault Rupture Behavior—Application to the 1984 Morgan-Hill, California, Earthquake,” J. Geophys. Res., 93, pp. 6275–6296.
Wald,  D. J., and Heaton,  T. H., 1994, “Spatial and Temporal Distribution of Slip for the 1992 Landers, California, Earthquake,” Bull. Seismol. Soc. Am., 84, pp. 668–691.
Ellsworth,  W. L., and Celebi,  M., 1999, “Near Field Displacement Time Histories of the M 7.4 Kocaeli (Izimit), Turkey, Earthquake of August 17, 1999,” EOS Trans. Am. Geophys. Union, 80, No. 46, F648.
Rosakis,  A. J., Samudrala,  O., and Coker,  D., 2000, “Intersonic Shear Crack Growth Along Weak Planes,” Mater. Res. Innovations, 3, pp. 236–243.
Gao,  H., 1993, “Surface Roughening and Branching Instabilities in Dynamic Fracture,” J. Mech. Phys. Solids, 41, pp. 457–486.
Abraham,  F. F., Brodbeck,  D., Rafey,  R. A., and Rudge,  W. E., 1994, “Instability Dynamics of Fracture: A Computer Simulation Investigation,” Phys. Rev. Lett., 73, pp. 272–275.
Burridge,  R., Conn,  G., and Freund,  L. B., 1979, “The Stability of a Plane Strain Shear Crack With Finite Cohesive Force Running at Intersonic Speeds,” J. Geophys. Res., 84, pp. 2210–2222.
Simonov,  I. V., 1983, “Behavior of Solutions of Dynamic Problems in the Neighborhood of the Edge of a Cut Moving at Transonic Speed in an Elastic Medium,” Mech. Solids, 18, pp. 100–106.
Broberg,  K. B., 1994, “Intersonic Bilateral Slip,” Geophys. J. Int., 119, pp. 706–714.
Yu,  H. H., and Suo,  Z., 2000, “Intersonic Crack Growth on an Interface,” Proc. R. Soc. London, Ser. A, A456, pp. 223–246.
Andrews,  D. J., 1976, “Rupture Velocity of Plane Strain Shear Cracks,” J. Geophys. Res., 81, pp. 5679–5687.
Needleman,  A., 1999, “An Analysis of Intersonic Crack Growth Under Shear Loading,” ASME J. Appl. Mech., 66, pp. 847–857.
Geubelle,  P. H., and Kubair,  D., 2001, “Intersonic Crack Propagation in Homogeneous Media Under Shear Dominated Loading: Numerical Analysis,” J. Mech. Phys. Solids, 49, pp. 571–587.
Abraham,  F. F., and Gao,  H., 2000, “How Fast Can Cracks Propagate?” Phys. Rev. Lett., 84, pp. 3113–3116.
Gao, H., Huang, Y., and Abraham, F. F., 2001, “Continuum and Atomistic Studies of Intersonic Crack Propagation,” J. Mech. Phys. Solids (in press).
Freund,  L. B., 1972, “Crack Propagation in an Elastic Solid Subjected to General Loading. I. Constant Rate of Extension,” J. Mech. Phys. Solids, 20, pp. 129–140.
Noble, B., 1958, Methods Based on the Wiener-Hopf Technique, Pergamon, New York.

Figures

Grahic Jump Location
The energy release rate, G, is shown versus the crack-tip velocity v at time τcvt/τ*=1 and 10; G0 is the energy release rate for a stationary crack tip subjected to a pair of shear forces τ* at the same distance of vt behind the crack tip, τc is the cohesive strength, cs the shear wave speed, and Poisson’s ratio ν=1/3
Grahic Jump Location
The length of cohesive zone, L, is shown versus the crack-tip velocity v at time τcvt/τ*=1 and 10; L0 is the cohesive zone length for a stationary crack tip subjected to a pair of shear forces τ* at the same distance of vt behind the crack tip, τc is the cohesive strength, cs the shear wave speed, and Poisson’s ratio ν=1/3

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In