Dynamic Stiffness of Foundations on Saturated Poroelastic Soils
Publication: Journal of Engineering Mechanics
Volume 123, Issue 11
Abstract
A boundary element model is presented for the computation of dynamic stiffnesses of strip foundations resting on or embedded in soils that are fluid-filled poroelastic and may also have single-phase viscoelastic zones. The two-phase behavior of the porous medium is represented according to Biot's theory. The interaction between the porous medium and the foundation or the zones of the soil that are viscoelastic is rigorously represented. The contact conditions between the soil and foundation can be pervious or impervious, welded or smooth. The technique is applied to the computation of dynamic stiffnesses of foundations on a saturated poroelastic half-space and on a saturated poroelastic stratum based on rigid or compliant bedrock. Stiffness components are computed and compared with existing results for a half-space and for a stratum. The effects of the properties of the porous medium, the kind of contact between soil and foundation, the depth of the porous stratum, and the compliance of the bedrock on the dynamic stiffnesses are examined. The technique presented in this paper is able to represent more general properties and geometries of the soil than do the existing approaches.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abascal, R., and Domínguez, J.(1986). “Vibrations of footings on zoned viscoelastic soils.”J. Engrg. Mech., ASCE, 112(5), 433–447.
2.
Biot, M. A.(1956). “Theory of propagation of elastic waves in fluid-saturated porous solid. I. low-frequency range.”J. Acoustical Soc. Am., 28(2), 168–178.
3.
Bougacha, S., Roësset, J. M., and Tassoulas, J. L.(1993a). “Dynamic stiffness of foundations on fluid-filled poroelastic stratum.”J. Engrg. Mech., ASCE, 119(8), 1649–1662.
4.
Bougacha, S., Tassoulas, J. L., and Roësset, J. M.(1993b). “Analysis of foundations on fluid-filled poroelastic stratum.”J. Engrg. Mech., ASCE, 119(8), 1632–1648.
5.
Chen, J., and Dargush, G. F.(1995). “Boundary element method for dynamic poroelastic and thermoelastic analyses.”Int. J. Solids and Struct., 32(15), 2257–2278.
6.
Cheng, A. H. D., Badmus, T., and Beskos, D. E.(1991). “Integral equation for dynamic poroelasticity in frequency domain with boundary element solution.”J. Engrg. Mech., ASCE, 117(5), 1136–1157.
7.
Chopra, M. B., and Dargush, G. F.(1995). “Dynamic analysis of axisymmetric foundations on a poroelastic stratum using BEM.”Proc., 10th Engrg. Mech. Spec. Conf., ASCE, New York, N.Y., 2, 1046–1049.
8.
Domínguez, J.(1991). “An integral formulation for dynamic poroelasticity.”J. Appl. Mech., 58(2), 588–591.
9.
Domínguez, J.(1992). “Boundary element approach for dynamic poroelastic problems.”Int. J. Numer. Methods in Engrg., 35(2), 307–324.
10.
Domínguez, J. (1993). Boundary elements in dynamics. Elsevier Applied Science, New York, N.Y.
11.
Domínguez, J., Gallego, R., and Japón, B. R.(1997). “Effects of porous sediments on seismic response of concrete gravity dams.”J. Engrg. Mech., ASCE, 123(4), 302–311.
12.
Halpern, M. (1982). “Dynamic response of a saturated poroelastic halfspace to imposed surface loadings,” PhD thesis, Carnegie-Mellon Univ., Pittsburgh, Pa.
13.
Halpern, M. R., and Christiano, P.(1986). “Steady-state harmonic response of a rigid plate bearing on a liquid-saturated poroelastic halfspace.”Earthquake Engrg. and Struct. Dyn., 14(3), 439–454.
14.
Kassir, M. K., and Xu, J.(1988). “Interaction functions of a rigid strip bounded to saturated elastic half-space.”Int. J. Solids and Struct., 24(9), 915–936.
15.
Tassoulas, J. L., and Kausel, E.(1983). “Elements for numerical analysis of wave motion in layered strata.”Int. J. Numer. Methods in Engrg., 19(7), 1005–1032.
16.
Yamamoto, T.(1983). “Acoustic propagation in the ocean with a poroelastic bottom.”J. Acoustical Soc. Am., 73(5), 1587–1596.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 123 • Issue 11 • November 1997
Pages: 1121 - 1129
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Nov 1, 1997
Published in print: Nov 1997
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.