2.5D Green's functions for elastodynamic problems in layered acoustic and elastic formations

CMES - Computer Modeling in Engineering and Sciences

Volumn 2, Issue 4, 2001, Pages 477-495

  Tadeu, António ^b   António, Julieta ^a  

^a UNIVERSITY OF COIMBRA   (Portugal)

^b NONE

Author keywords

Analytical solutions; Green's functions; Spatially sinusoidal harmonic line load

Indexed keywords

EID: 0000094471     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Bouchon, M. (1979): Discrete wave number representation of elastic wave fields in three-space dimensions. Journal of Geophysical Research, vol. 84, pp. 3609-3614.
2. Bouchon, M.; Aki, K. (1977): Discrete Wave-Number Representation of Seismic-Source Wave Fields: Bulletin of the Seismological Society of America, vol. 67, pp. 259-277.
3. Gradshteyn, I.; Ryzhik, I. (1980): Table of Intergrals, Series and Products. Academic Press, New York.
4. Guimarães, S.; Telles, J.C.F. (2000): General application of numerical Green's functions for SIF computations with boundary elements. CMES: Computer Modeling in Engineering & Sciences, vol. 1, no. 3, pp. 131-139.
5. Katsikadelis, J. T.; Nerantzaki, M.S. (2000): A boundary-only solution to dynamic analysis of non-homogeneous elastic membranes. CMES: Computer Modeling in Engineering & Sciences, vol. 1, no. 3, pp. 1-10.
6. Kawase, H. (1988): Time-domain Response of a Semi-circular Canyon for Incident SV, P and Rayleigh Waves Calculated by the discrete Wavenumber Boundary Element Method. Bulletin of the Seismological Society of America, vol. 78, pp. 1415-1437.
7. Kim, J.; Papgeorgiou, A. S. (1993): Discrete wavenumber boundary element method for 3-D scattering problems. Journal of Engineering Mechanics, ASCE, vol. 119, no. 3, pp. 603-624.
8. Kögl, M.; Gaul, L. (2000): A 3-D boundary element method for dynamic analysis of anisotropic elastic solids. CMES: Computer Modeling in Engineering & Sciences, vol. 1, no. 4, pp.27-43.
9. Lamb, H. (1904): On the propagation of tremors at the surface of an elastic solid. Phil. Trans. Roy. Soc. London, A203, pp. 1-42.
10. Melnikov, Y. A.; Melnikov, M.Y. (2001): Modified potentials as a tool for computing Green's functions in continuum mechanics. CMES: Computer Modeling in Engineering & Sciences, vol. 2, no. 2, pp. 291-305.
11. Papageorgiou, A. S.; Pei, D. (1998): A discrete wavenumber boundary element method for study of 3-D response of 2-D scatterers. Earthquake Engng. Struct. Dyn., vol. 27, pp. 619-638.
12. Pedersen, H. A.; Sánchez-Sesma, F.J.; Campillo, M. (1994): Three-dimensional scattering by two-dimensional topographies. Bulletin of Seismological Society of America, vol. 84, pp. 1169-1183.
13. Phinney, R. A. (1965): Theoretical calculation of the spectrum of first arrivals in the layered elastic medium. J. Geophysics, Res., vol. 70, pp. 5107-5123.
14. Polyzoz, D.; Dassios, G.; Beskos, D. E. (1994): On the equivalence of dual reciprocity and particular integral approaches in the BEM. Boundary Element Communications, vol. 5, pp. 285-288.
15. Tadeu, A. J. B.; Kausel, E. (2000): Green's functions for two-and-a-half dimensional elastodynamic problems. Journal of Engineering Mechanics, ASCE, vol. 126, no. 10, pp. 1093-1097.
16. Zheng, T.; Dravinski, M. (2000): Scattering of elastic waves by a 3D anisotropic basin. Earthquake Engng. Struct. Dyn., vol. 29, pp. 419-439.