Dynamic-stiffness matrix for in-plane motion in a layered depth dependent randomly inhomogeneous semi-infinite medium

Acta Mechanica

Volumn 115, Issue , 1996, Pages 39-54

  Hryniewicz, Z ^a   Filipkowski, J ^a  

^a KOSZALIN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; INTEGRODIFFERENTIAL EQUATIONS; LAPLACE TRANSFORMS; RANDOM PROCESSES; SOIL STRUCTURE INTERACTIONS; STIFFNESS MATRIX; STRESSES;

INPLANE HARMONIC MOTION; RANDOMLY INHOMOGENEOUS LAYERED HALF SPACE;

SOIL MECHANICS;

EID: 0029753119     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01187427     Document Type: Article

References (18)

1. Thomson, W. T.: Transmission of elastic waves through a stratified soil medium. J. Appl. Phys. 21, 89-93 (1950).
2. Haskell, N. A.: The dispersion of surface waves on multilayered media. Bull. Seism. Soc. Am. 43, 17-34 (1953).
3. Kausel, E., Roesset, J. M.: Stiffness matrices for layered soils. Bull. Seism. Soc. Am. 71, 1743-1761 (1981).
4. Gaul, L.: Machine-foundation-soil interaction; combined continuum and boundary element approach. Revista Basileira de Ciencias Mecanicas Rio de Janeiro, V. 8, 169-198 (1986).
5. Gaul, L., Klein, P., Plenge, M.: Continuum-boundary element and experimental models of soil-foundation interaction. In: Proc. 6-th Int. Conf. Num. Meth. Geomech. Innsbruck, 11-15 Apr., 1988 (Swoboda, ed.), pp. 1649-1661. Rotterdam: Balkema 1988.
6. Bellomo, N., Riganti, R.: Nonlinear stochastic systems in physics and mechanics. Singapore: World Scientific 1987.
7. Karal, F. C., Keller, J. B.: Elastic, electromagnetic and other waves in a random medium. J. Math. Phys. 5, 537-547 (1964).
8. Wolf, J. P.: Soil-structure interaction analysis in time domain. Englewood Cliffs: Prentice Hall 1988.
9. Lee, I. K., White, W., Ingels, O. G.: Geotechnical engineering. New York: Pitman 1983.
10. Soong, T. T.: Random differential equations in science and engineering. New York: Academic Press 1973.
11. Faccioli, E., Tagliani, A., Paolucci, R. : Effects of wave propagation in random earth media on the seismic radiation spectrum. 4-th Int. Conf. Soil Dyn. Earthq. Eng., Mexico City, 23-26, Oct. 1989.
12. Vanmarcke, E.: Random fields, analysis and synthesis. London: The MIT Press 1988.
13. Hryniewicz, Z., Hermans, A. J.: Free-field response from inclined body waves in a viscoelastic random medium. Earthq. Eng. Struct. Dyn. 18, 1025-1040 (1989).
14. Chu, L., Askar, A., Cakmak, A. S.: Earthquake waves in random medium. Int. J. Num. Anal. Meth. Geomech. 5, 79-96 (1981).
15. Wolfram, S.: MATHEMATICA, A system for doing mathematics by computer. New York: Addison-Wesley 1991.
16. Achenbach, J. D.: Wave propagation in elastic solids. Amsterdam: North-Holland 1973.
17. Adomian, G.: Stochastic systems. New York: Academic Press 1983.
18. Hryniewicz, Z.: On two approaches to wave propagation problems for a semi-infinite random medium. Comm. from the Division of Mechanics, Chalmers University of Technology, Goteborg, Sweden, CTH6, 1993.