Intersonic crack propagation in homogeneous media under shear-dominated loading: Numerical analysis

Journal of the Mechanics and Physics of Solids

Volumn 49, Issue 3, 2001, Pages 571-587

  Geubelle, Philippe H ^a   Kubair, Dhirendra V ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CRACK PROPAGATION; DYNAMIC LOADS; FAILURE ANALYSIS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; SHEAR STRESS;

ELASTODYNAMIC BOUNDARY INTEGRAL EQUATIONS; INTERSONIC CRACK PROPAGATION;

FRACTURE MECHANICS;

EID: 0034817772     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(00)00041-7     Document Type: Article

References (27)

1. Abraham, F.E., Gao, H., 2000. How fast can cracks propagate? Phys. Rev. Lett. 84 (14) 3113-3116.
2. Andrews, D.J., 1976. Rupture velocity of plane strain shear cracks. J. Geophys. Res. 81 (32), 5679-5687.
3. Andrews, D.J., 1985. Dynamic plane-strain shear rupture with a slip-weakening friction law calculated by a boundary integral method. Bull. Seismol. Soc. Am. 75 (1), 1-21.
4. Archuleta, R.J., 1982. Analysis of near source static and dynamic measurements from the 1979 Imperial Valley earthquake. Bull. Seismol. Soc. Am. 72, 1927-1956.
5. Breitenfeld, M.S., Geubelle, P.H., 1998. Numerical analysis of dynamic debonding under 2D in-plane and 3D loading. Int. J. Fract. 93, 13-38.
6. Breitenfeld, M.S., Geubelle, P.H., 2000. Parallel implementation of a spectral scheme for the simulation of 3D dynamic fracture events. Int. J. High Performance Comput. Appl. 14 (1), 26-38.
7. Broberg, K.B., 1989. The near-tip field at high crack velocities. Int. J. Fract. 39, 1-13.
8. Broberg, K.B., 1995. Intersonic mode II crack expansion. Arch. Mech. 47 (5), 859-871.
9. Burridge, R., Conn, G., Freund, L.B., 1979. The stability of a rapid mode II shear crack with finite cohesive traction. J. Geophys. Res. 85 (B5), 2210-2222.
10. Cochard, A., Rice, J.R., 1997. A spectral method for numerical elastodynamic fracture analysis without spatial replication of the rupture event. J. Mech. Phys. Solids 45 (8), 1393-1418.
11. Danyluk, M.J., Geubelle, P.H., Hilton, H.H., 1998. 2D and 3D dynamic fracture in viscoelastic media. Int. J. Solids Struct. 35 (28-29), 3831-3853.
12. Das, S., Aki, K., 1977. A numerical study of two-dimensional spontaneous rupture propagation. Geophys. J. Roy. Astron. Soc. 50, 643-668.
13. Freund, L.B., 1979. The mechanics of dynamic shear crack propagation. J. Geophys. Res. 84, 2199-2209.
14. Freund, L.B., 1990. Dynamic Fracture Mechanics. Cambridge University Press, Cambridge.
15. Geubelle, P.H., 1997. A numerical method for elastic and viscoelastic dynamic fracture problems in homogeneous and bimaterial systems. Comput. Mech. 20 (1-2), 20-25.
16. Geubelle, P.H., Breitenfeld, M.S., 1997. Numerical analysis of dynamic debonding under anti-plane shear loading. Int. J. Fract. 85, 265-282.
17. Geubelle, P.H., Danyluk, M.J., Hilton, H.H., 1997. Dynamic mode III fracture in viscoelastic media. Int. J. Solids Struct. 35, 761-782.
18. Geubelle, P.H., Rice, J.R., 1995. A spectral method for 3D elasto-dynamic fracture problems. J. Mech. Phys. Solids 43 (11), 1791-1824.
19. Johnson, E., 1990. On the initiation of unidirectional slip. Geophys. J. Int. 101, 125-132.
20. Johnson, E., 1992. Process region changes for rapidly propagating cracks. Int. J. Fract. 55, 47-63.
21. Morrissey, J.W., Geubelle, P.H., 1997. A numerical scheme for mode III dynamic fracture problems. Int. J. Numer. Methods Engng. 40, 1181-1196.
22. Needleman, A., 1999. An analysis of intersonic crack growth under shear loading. ASME J. Appl. Mech. 66, 847-857.
23. Olsen, K.B., Madariaga, R., Archuleta, R.J., 1997. Three-dimensional dynamic simulation of the 1992 Landers earthquake. Science 278, 834-838.
24. Ravi-Chandar, K., Lu, J., Yang, B., Zhu, Z., 2000. Failure mode transitions in polymers under high strain rate loading. Int. J. Fract. 101 (1-2), 33-72.
25. Rosakis, A.J., Samudrala, O., Coker, D., 1999. Cracks faster than the shear wave speed. Science 284, 1337-1340.
26. Washabaugh, P.D., Knauss, W.G., 1994. A reconciliation of dynamic crack velocity and Rayleigh wave speed in isotropic brittle solids. Int. J. Fract. 65 (2), 97-114.
27. Zhu, Z., Ravi-Chandar, K., 1999. Experiments on dynamic shear crack propagation. Proceedings of the International Conference on Advanced Techniques in Experiments, pp. 395-402.