Dynamic point sources in laminated media via the thin-layer method

International Journal of Solids and Structures

Volumn 36, Issue 31-32, 1999, Pages 4725-4742

  Kausel, E ^a  

^a Massachusetts Institute of Technology   (United States)

Author keywords

Boundary elements; Elastodynamics; Fundamental solution; Geophysics; Green's functions; Layered media; Stokes' problem

Indexed keywords

BOUNDARY ELEMENT METHOD; CRACKS; GEOPHYSICS; GREEN'S FUNCTION; LOADS (FORCES); MATHEMATICAL MODELS; SEISMIC WAVES;

BOUNDARY ELEMENTS; ELASTODYNAMICS; FUNDAMENTAL SOLUTION; LAYERED MEDIA; STOKES PROBLEM; THIN LAYER METHOD;

SOIL STRUCTURE INTERACTIONS;

DYNAMIC RESPONSE; GREEN FUNCTION; LAYERED MEDIUM;

EID: 0345493842     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00262-5     Document Type: Article

References (45)

1. Bougacha, S., Tassoulas, J.L., 1991. Seismic analysis of gravity dams I: modeling of the sediments. J. Eng. Mech., ASCE 117 (8), 1826-1837.
2. Bougacha, S., Tassoulas, J.L., Roësset, J.M., 1993. Analysis of foundations on fluid-filled poroelastic stratum. J. Eng. Mech., ASCE 119 (8), 1632-1648.
3. Dong, S.B., Nelson, R.B., 1972. On natural vibrations and waves in laminated orthotropic plates. J. App. Mech., ASME 39, 739-745.
4. Dong, S.B., Pauley, K., 1978. Plane waves in anisotropic plates. J. Eng. Mech., ASCE 104 (4), 801-817.
5. Drake, L.A., 1972. Love and Rayleigh waves in non-horizontally layered media. Bull. Seism. Soc. Am. 62 (5), 1241-1258. Drake, L.A., 1980. Love and Rayleigh waves in irregular soil layer. Bull. Seism. Soc. Am. 70, 571-582.
6. Drake, L.A., 1972. Love and Rayleigh waves in non-horizontally layered media. Bull. Seism. Soc. Am. 62 (5), 1241- 1258. Drake, L.A., 1980. Love and Rayleigh waves in irregular soil layer. Bull. Seism. Soc. Am. 70, 571-582.
7. Geller, R.J., Hatori, T., 1995. DSM synthetic seismograms using analytic trial functions: plane layered, isotropic, case. Geophys. J. Int. 120, 163-172.
8. Geller, R. J., Ohminato, T., 1994. Computation of synthetic seismograms and their partial derivatives for heterogeneous media with arbitrary natural boundary conditions using the Direct Solution Method. Geophys. J. Int. 116, 421-446.
9. Ghibril, R., 1992. On the partial discretization of coupled plane stratified systems. Ph.D. thesis, Department of Civil Engineering, M.I.T., 1992.
10. Huang, K.H., Dong, S.B., 1984. Propagating waves and edge vibrations in anisotropic composite cylinders. J. Sound Vib. 96 (3), 363-379.
11. Hull [Seale], S., Kausel, E., 1984. Dynamic loads in layered halfspaces. Proceedings, Fifth Engineering Mechanics Division Specialty Conference, Vol. I. ASCE, Laramie, Wyoming, 1984, pp. 201-204.
12. Kausel, E. 1974. Forced vibrations of circular foundations on layered media. MIT Research Report R74-11, Department of Civil Engineering, MIT, Cambridge, MA.
13. Kausel, E., 1981. An explicit solution for the Green's functions for dynamic loads in layered media. MIT Research Report R81-13, Department of Civil Engineering, MIT, Cambridge, MA.
14. Kausel, E., 1986. Wave propagation in anisotropic layered media. Int. J. Num. Meth. Eng. 23, 1567-1578.
15. Kausel, E., 1993. Discrete Green's functions for layered media: time domain solution. Proceedings of the NSF workshop "Geophysical Techniques For Site and Material Characterization", 11-12 June 1993, Atlanta, Georgia.
16. Kausel, E., 1994. Thin-layer method: formulation in the time domain. Int. J. Num. Meth. Eng. 37, 927-941.
17. Kausel, E., 1998. Blast loads vs. point loads: the missing factor. J. Eng. Mech., ASCE 124 (2), 243-244.
18. Kausel, E., Peek, R., 1982a. Dynamic loads in the interior of a layered stratum: an explicit solution. Bull. Seism. Soc. Am. 72 (5), 1459-1481 (see also Errata, BSSA, 74, 1984, p. 1508).
19. Kausel, E., Peek, R., 1982a. Dynamic loads in the interior of a layered stratum: an explicit solution. Bull. Seism. Soc. Am. 72 (5), 1459-1481 (see also Errata, BSSA, 74, 1984, p. 1508).
20. Kausel, E., Peek, R., 1982b. Boundary integral method for stratified soils. MIT Research Report R82-50, Department of Civil Engineering, MIT, Cambridge, MA.
21. Kausel, E., Roësset, J.M., 1975. Dynamic stiffness of circular foundations. J. Eng. Mech., ASCE 101 (6), 771-785.
22. Kausel, E., Roësset, J.M., 1977. Semi-analytic hyperelement for layered strata. J. Eng. Mech., ASCE 103 (4), 569-588.
23. Kausel, E., Roësset, J.M., 1981. Stiffness matrices for layered soils. Bull. Seism. Soc. Am. 71 (6), 1743-1761.
24. Kausel, E., Roësset, J.M., Waas, G., 1975. Dynamic analysis of footings on layered media. J. Eng. Mech., ASCE 101 (5), 679-693.
25. Kausel, E., Seale, S.H., 1987. Static loads in layered halfspaces. J. App. Mech., ASME 54 (2), pp. 403-408.
26. Lin, H., Tassoulas, J.L., 1987. Discrete Green's functions for layered strata. Int. J. Num. Meth. Eng. 24, 1645-1658.
27. Lofti, V., Roësset, J.M., Tassoulas, J.L., 1987. A technique for the analysis of the response of dams to earthquakes. Earthq. Eng. Struct. Dyn. 15, 463-490.
28. Lysmer, J., 1970. Lumped mass method for Rayleigh waves. Bull. Seism. Soc. Am. 43, 17-34.
29. Lysmer, J., Waas, G., 1972. Shear waves in plane infinite structures. J. Eng. Mech, ASCE 18, 85-105.
30. Nelson, R.B., Dong, S.B., 1973. High frequency vibrations and waves in laminated orthotropic plates. J. Sound Vib. 30(1), 33-44.
31. Nelson, R.B., Dong, S.B., Kalra, R.D., 1971. Vibrations and waves in laminated orthotropic circular cylinders. J. Sound Vib. 18, 429-444.
32. Rukos, E.A., 1978. Continuous elements in the finite element method. Int. J. Num. Meth. Eng., 12, 11-33.
33. Scale, S.H., 1985. Dynamic loads in layered halfspaces. Ph.D. thesis, Department of Civil Engineering, M.I.T., Cambridge, MA.
34. Scale, S.H., Kausel, E., 1989. Point loads in cross-anisotropic, layered halfspaces. J. Eng. Mech., ASCE 115 (3), 509-524.
35. Scale, S.H., Kausel, E., 1990. Dynamic and static impedances of cross-anisotropic halfspaces. Soil Dyn, Earthq. Eng. 9, 4.
36. Srinivas, S., 1973. A refined analysis of composite laminates. J. Sound Vib. 30 (4), 495-507.
37. Tajimi, H., 1980. A contribution to theoretical prediction of dynamic stiffness of surface foundations. Proc. 7th W. Conf. Earthq. Eng., Vol. 5. Istanbul, Turkey, 5, pp. 105-112.
38. Tan, H.H., 1989. Displacement approach for generalized Rayleigh waves in layered solid-fluid media. Bull. Seism. Soc. Am. 79 (4), 1251-1263.
39. Tassoulas, J., 1981. Elements for the numerical analysis of wave motion in layered media. MIT Research Report R81-2, Department of Civil Engineering, Cambridge, MA.
40. Tassoulas, J.L., Kausel, E., 1983. Elements for the numerical analysis of wave motion in layered strata. Int. J. Num. Meth. Eng. 19, 1005-1032.
41. Tassoulas, J.L., Kausel, E., 1983. On the dynamic stiffness of circular ring footings on an elastic stratum. Int. J. Num. Anal. Meth. Geomech. 8, 411-426.
42. Tsai, C., Lee, G.C., Ketter, R.L., 1990. A semi-analytical method for time-domain analyses of dam-reservoir interactions. Int. J. Num. Eng. 29, 913-933.
43. Waas, G., 1972. Linear two-dimensional analysis of soil dynamic problems in semi-infinite layer media. Ph.D. thesis, University of California, Berkeley.
44. Waas, G., 1980. Dynamisch belastete Fundamente aufgeschichtetem Baugrund. VDI Berichte 381, 185-189 (in German).
45. Zinn, R., 1988. Wave propagation in anisotropic laminated rods. M.Sc. thesis, Department of Civil Engineering, M.I.T., Cambridge, MA.