A numerical scheme for mode iii dynamic fracture problems

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 7, 1997, Pages 1181-1196

  Morrissey, J W ^a   Geubelle, P H ^b  

^a HARVARD UNIVERSITY   (United States)

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

Author keywords

Anti plane shear; Dynamic fracture mechanics; Elastodynamics; Spectral method; Stress intensity factor

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; CRACK PROPAGATION; DYNAMIC LOADS; FAST FOURIER TRANSFORMS; PROBLEM SOLVING; SHEAR STRESS; SPECTRUM ANALYSIS; STRESS INTENSITY FACTORS;

ANTIPLANE SHEAR; ELASTODYNAMICS;

FRACTURE MECHANICS;

EID: 0031118210     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970415)40:7<1181::AID-NME108>3.0.CO;2-X     Document Type: Article

References (11)

1. L. B. Freund, Dynamic Fracture Mechanics, Cambridge University Press, Cambridge, 1990.
2. P. H. Geubelle and J, R. Rice, 'A spectral method for three-dimensional elastodynamic fracture problems', J. Mech. Phys. Solids 43, 1791-1824 (1995).
3. G. Perrin, J. R. Rice and G. Zheng, 'Self-healing slip pulse on a frictional surface', J. Mech. Phys. Solids, 43, 1461-1495 (1995).
4. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1972.
5. A. Cochard and J. R. Rice, 'A spectral method for numerical elastodynamic fracture analysis without spatial replication of the rupture event', Harvard University Report, J. Mech. Phys. Solids, (1996), submitted.
6. A. Cochard and R. Madariaga, 'Dynamic faulting under rate-dependent friction', Pure Appl. Geophys., 142, 419-445 (1994).
7. R. Burridge, 'The numerical solution of certain integral equations with nonintegrable kernels arising in the theory of crack propagation and elastic wave diffraction', Phil. Trans. R. Soc., A 265, 363-381 (1969).
8. B. V. Kostrov, 'Unsteady propagation of longitudinal shear cracks', PMM 30, 1042-1049 (1966).
9. S. A. Tau and T.-H. Lu, 'Diffraction of transient horizontal shear waves by a finite crack and a finite rigid ribbon', Int. J. Eng. Sci., 8, 857-874 (1970).
10. J. R. Rice, 'Spatio-temporal complexity of slip on a fault', J. Geophys. Res., 98, 9885-9907 (1993).
11. J. R. Rice and Y. Ben-Zion, 'Slip complexity in earthquake fault models', Proc. Nat. Acad. Sci. USA, 93, 3811-3818 (1996).