Dynamic Stiffness of Foundations on Fluid‐Filled Poroelastic Stratum
Publication: Journal of Engineering Mechanics
Volume 119, Issue 8
Abstract
The finite‐element technique presented in the companion paper is applied to the calculation of the static and dynamic stiffnesses of rigid strip and circular foundations on a fluid‐filled poroelastic stratum. A simplified approximate method is also proposed for the estimation of the dynamic stiffnesses. In this approximation, the two‐phase medium is replaced by a single‐phase solid. The shear‐wave velocity of the equivalent solid is set equal to that of the solid skeleton. In the case of vertical excitation, the pressure‐wave velocity is taken equal to the velocity of the slow dilatational wave of the mixture, while the average of the velocities of the fast and slow dilatational waves of the mixture is used in the cases of horizontal excitation and rocking. Stiffness and damping coefficients are computed and compared with those obtained by the approximate method. The effects of seepage forces on the dynamic stiffnesses are examined.
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References
1.
Biot, M. A. (1956). “Theory of propagation of elastic waves in fluid‐saturated porous solid. I. low‐frequency range.” J. Acoustical Soc. Am., 28, 168–178.
2.
Bougacha, S., Tassoulas, J. L., and Roësset, J. M. (1993). “Analysis of foundations on fluid‐filled poroelastic stratum.” J. Engrg. Mech., ASCE, 119(8), 1632–1648.
3.
Foster, N. A., Richart Jr., F. E., and Woods, R. D. (1980). “Fluid wave propagation in saturated and nearly saturated sands.” J. Geotech. Engrg. Div., ASCE, 106(3) 235–254.
4.
Geertsma, J., and Smit, D. C. (1961). “Some aspects of elastic wave propagation in fluid‐saturated porous solids.” Geophysics, 26, 169–181.
5.
Mei, C. C., and Foda, M. A. (1981). “Wave induced responses in a fluid‐filled poroelastic solid with a free surface—a boundary layer theory.” Geophysical Journal of the Royal Astronomical Society, London, England, 66, 597–631.
6.
Zienkiewicz, O. C., and Shiomi, T. (1984). “Dynamic behavior of saturated porous media: the generalized biot formulation and its numerical solution.” Int. J. Numer. and Analytical Methods in Geomechanics, 8, 71–96.
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Copyright © 1993 American Society of Civil Engineers.
History
Received: Oct 17, 1990
Published online: Aug 1, 1993
Published in print: Aug 1993
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