Parallel implementation of a spectral scheme for simulations of 3-D dynamic fracture events

International Journal of High Performance Computing Applications

Volumn 14, Issue 1, 2000, Pages 26-38

  Breitenfeld, M Scot ^a   Geubelle, Philippe H ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; CRACK PROPAGATION; FRACTURE; PROGRAM PROCESSORS;

DYNAMIC FRACTURES;

PROBLEM SOLVING;

EID: 0034149076     PISSN: 10943420     EISSN: None     Source Type: Journal    
DOI: 10.1177/109434200001400102     Document Type: Article

References (20)

1. Andrews, D. J. 1985. Dynamic plane-strain shear rupture with a slip-weakening friction law calculated by a boundary integral method. Bull. Seism. Soc. Amer. 75 (1): 1-21.
2. Breitenfeld, M. S., and Geubelle, P. H. 1998. Numerical analysis of dynamic debonding under 2D in-plane and 3D loading. Int. J. Fracture 93: 13-38.
3. Danyluk, M. J., Geubelle, P. H., and Hilton, H. H. 1998. 2D and 3D dynamic fracture in viscoelastic media. Int. J. Solids Structures 35 (28-29): 3831-3853.
4. Das, S., and Kostrov, B. V. 1987. On the numerical boundary integral equation method for three-dimensional dynamic shear crack problems. J. Appl. Mech. 54:99-104.
5. Day, S. 1982. Three-dimensional finite difference simulation of fault dynamics: Rectangular faults with fixed rupture velocity. Bull. Seism. Soc. Amer. 72 (3): 705-727.
6. Geubelle, P. H. 1994. Implementation of a 3D elastodynamic boundary-integral code on the CM-5. Report Mech-240, Division of Applied Sciences, Harvard University, Cambridge, MA.
7. 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.
8. Geubelle, P. H., and Breitenfeld, M. S. 1997. Numerical analysis of dynamic debonding under anti-plane shear loading. Int. J. Fracture 85:265-282.
9. Geubelle, P. H., Danyluk, M. J., and Hilton, H. H. 1997. Dynamic mode III fracture in viscoelastic media. Int. J. Solids Structures 35:761-782.
10. Geubelle, P. H., and Rice, J. R. 1995. A spectral method for 3D elastodynamic fracture problems. J. Mech. Phys. Solids 43:1791-1824.
11. Koller, M. G., Bonnet, M., and Madariaga, R. 1992. Modeling of dynamical crack propagation using time-domain boundary integral equations. Wave Motion 16:339-366.
12. Lo, C. Y., Nakamura, T., and Kushner, A. 1994. Computational analysis of dynamic crack propagation along a bimaterial interface. Int. J. Solids Structures 31 (2): 145-168.
13. Mikumo, T., Hirahara, K., and Miyatake, T. 1987. Dynamic rupture processes in heterogeneous media. Tectonophysics 144:19-36.
14. Mikumo, T., and Miyatake T. 1993. Dynamic rupture processes on a dipping fault, and estimates of stress drop and strength excess from the results of waveform inversion. Geophys. J. Int. 112:481-496.
15. Morrissey, J. W., and Geubelle, P. H. 1997. A numerical scheme for mode III dynamic fracture problems. Int. J. Num. Meth. Engng. 40:1181-1196.
16. Pekeris, C. L. 1955. The seismic surface pulse. Proc. Nat. Acad. Sciences U.S.A. 41:469-480.
17. Perrin, G., Rice, J. R., and Zheng, G. 1994. Self-healing slip pulse on a frictional surface. J. Mech. Phys. Solids 43 (3): 1461-1495.
18. Virieux, J., and Madariaga, R. 1982. Dynamic faulting studies by a finite difference method. Bull. Seism. Soc. Amer. 72 (2): 345-369.
19. Xu, X. -P., and Needleman, A. 1995. Numerical simulations of dynamic interfacial crack growth allowing for crack growth away from the bond line. Int. J. Fracture 74:253-275.
20. Xu, X. -P., and Needleman, A. 1996. Numerical simulations of dynamic interfacial crack growth along an interface. Int. J. Fracture 74:289-324.