Summary
The fundamental solutions of the displacement discontinuity for three-dimensional problems in Laplace space are deduced in thsi paper. The displacement discontinuity method and the equivalent stress method were combined and used to determine dynamic stress intensity factors for three-dimensional time-dependent crack problems. The stress intensity factors were calcualted for dynamically loaded cracks with rectangular, circular, and elliptical crack fronts. The influence of elasticity waves (in particular surface waves) on the magnitude of the stress intensity factor and on the displacement of the crack surfaces was analysed.
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References
Sladek, V.;Sladek, J.: Transient elastodynamic three-dimensional problems in cracked bodies. Appl. Math. Modelling, 8 (1984) 2–10
Nishimura, N.;Guo, Q. C.;Kobayashi, S.: Elastodynamic crack, analysis by BIEM. In: Tanaka, M.: Cruse, T. A. (eds.) Boundary Element Method in Applied Mechanics. Oxford: Pergamon Press 1998
Hirose, S.: Scattering from and elliptic crack by the time-domain boundary integral equation method. In: Brebbia, C. A.; Connor, J. J. (eds.). Advances in Boundary Elements, Vol. 3, Southampton: Computational Mechanics Publications 1989
Zhang, CH.;Gross, D.: A non-hypersingular time-domain BIEM for 3-D transient elastodynamic crack analysis. Int. J. Num. Meth. Engng. 36 (1993) 2997–3017
Wen, P. H.; Aliabadi, M. H.; Rooke, D. P.: The influence of elasticity waves on dynamic stress intensity factors (two-dimensional problems). (to be published in Arch. Appl. Mech.)
Wen, P. H.;Wang, Y.: The calculation of SIF considering the effects of arc crack surfaces contact and friction under uniaxial tension and pressure. Engng. Fract. Mech. 39 (1991) 651–660
Wen, P. H.;Fan, T. H.: The discontinuity displacement method applied to three dimensional co-planar crack problem for any boundary value condition. Engng. Fract. Mech. 48 (1994) 691–702
Parton, V. Z.: Dynamic fracture mechanics. In: Aliabadi, M. H.; Brebbia, C. A., Parton, V. Z. (eds.) Static and Dynamic Fracture Mechanics. Southampton: Computational Mechanics Publication 1994
Durbin, F.: Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate's method. The Computer J. 17 (1974) 371–376
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On leave from the Central-South University of Technology, Changsha, Hunan Province, P. R. China.
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Wen, P.H., Aliabadi, M.H. & Rooke, D.P. The influence of elastic waves on dynamic stress intensity factors (three-dimensional problems). Arch. Appl. Mech. 66, 385–394 (1996). https://doi.org/10.1007/BF00803673
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DOI: https://doi.org/10.1007/BF00803673