Crack front waves

Journal of the Mechanics and Physics of Solids

Volumn 46, Issue 3, 1998, Pages 467-487

  Morrissey, John W ^a   Rice, James R ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

A. dynamic fracture; B. crack mechanics; B. stress waves; C. numerical algorithms

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CRACK PROPAGATION; CRACKS; FRACTURE; SURFACES; THREE DIMENSIONAL; VELOCITY;

CRACK FRONT WAVES; DYNAMIC FRACTURE; RAYLEIGH SPEED; SCALAR WAVE EQUATION; STRESS WAVES;

ELASTIC WAVES;

EID: 0032019531     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(97)00072-0     Document Type: Article

References (19)

1. Ben-Zion, Y. and Morrissey, J. W. (1995) A simple re-derivation of logarithmic disordering of a dynamic planar crack due to small random heterogeneities. Journal of the Mechanics and Physics of Solids 43, 1363-1368.
2. Cochard, A. and Rice, J. R. (1997) A spectral method for numerical elastodynamic fracture analysis without spatial replication of the rupture event. Journal of the Mechanics and Physics of Solids, in press.
3. Eshelby, J. D. (1969) The elastic field of a crack extending non-uniformly under general anti-plane loading. Journal of the Mechanics and Physics of Solids 17, 177.
4. Freund, L. B. (1972) Crack propagation in an elastic solid subject to general loading, I, constant rate of extension, II, non-uniform rate of extension. Journal of the Mechanics and Physics of Solids 20, 129-140, 141-152.
5. Freund, L. B. (1990) Dynamic Fracture Mechanics. Cambridge University Press, Cambridge, U.K.
6. Geubelle, P. H. and Rice, J. R. (1995) A spectral method for three-dimensional elastodynamic fracture problems. Journal of the Mechanics and Physics of Solids 43, 1791-1824.
7. Hull, D. and Beardmore, P. (1966) Velocity of propagation of cleavage cracks in tungsten. Int. J. Fracture Mech. 2, 468-487.
8. Kostrov, B. V. (1966) Unsteady propagation of longitudinal shear cracks. Appl. Math. and Mech. (English translation of Prikl. Mat. i Mek.) 30, 1241-1248.
9. Morrissey, J. W. and Geubelle, P. H. (1997) A numerical scheme for mode III dynamic fracture problems. Int. J. Numer. Meth. Engng 40, 1181-1196.
10. Morrissey, J. W. and Rice, J. R. (1996) 3D elastodynamics of cracking through heterogeneous solids : crack front waves and growth of fluctuations (Abstract). EOS, Trans. Amer. Geophys. Union 77(46, Fall Meeting Suppl), F485.
11. Movchan, A. B. and Willis, J. R. (1995) Dynamic weight functions for a moving crack. II. Shear loading. Journal of the Mechanics and Physics of Solids 43, 1369-1383.
12. Perrin, G. and Rice, J. R. (1994) Disordering of a dynamic planar crack front in a model elastic medium of randomly variable toughness. Journal of the Mechanics and Physics of Solids 42, 1047-1064.
13. Ramanathan, S. and Fisher, D. (1997) Dynamics and instabilities of planar tensile cracks in heterogeneous media. Phys. Rev. Lett. 79, 877-880.
14. Rice, J. R. (1980) The mechanics of earthquake rupture. Physics of the Earth's Interior (Proc. International School of Physics "Enrico Fermi", Course 78, 1979; ed. A. M. Dziewonski and E. Boschi), Italian Physical Society and North-Holland Publ. Co., pp. 555-649.
15. Rice, J. R., Ben-Zion, Y. and Kim, K.-S. (1994) Three-dimensional perturbation solution for a dynamic planar crack moving unsteadily in a model elastic solid. Journal of the Mechanics and Physics of Solids 42, 813-843.
16. Wallner, H. (1939) Linienstrukturen an bruchflächen. Z. Physik 114, 368-378.
17. Washabaugh, P. D. and Knauss, W. G. (1994) A reconciliation of dynamic crack velocity and Rayleigh wave speed in isotropic brittle solids. Int. J. Fracture 65(2), 97-114.
18. Willis, J. R. and Movchan, A. B. (1995) Dynamic weight functions for a moving crack. I. Mode I loading. Journal of the Mechanics and Physics of Solids 43, 319-341.
19. Willis, J. R. and Movchan, A. B. (1997) Three-dimensional dynamic perturbation of a propagating crack. Journal of the Mechanics and Physics of Solids 45, 591-610.