Consolidation Settlement of Bridge Approach Foundation
Publication: Journal of Geotechnical Engineering
Volume 117, Issue 2
Abstract
Excessive settlement of bridge‐approach pavements creates problems for both road users and transportation agencies responsible for road maintenance. An important contributing factor to this settlement is the consolidation of foundation soil. A procedure based on the nonlinear finite‐element method (FEM), including infinite elements, is developed to analyze the consolidation settlement of embankment foundation at the bridge approach. Biot's theory of three‐dimensional consolidation, as proposed by Sandhu and Wilson, is used in the development. Nonlinear behavior of the soil skeleton is represented by the modified Cam‐clay model. A plane‐strain infinite‐element algorithm is developed. The semi‐infinite domain is divided into two regions. The near field is discretized by using the eight‐noded isoparametric elements, while the far field is discretized by using the infinite elements developed. The interpolation functions for the infinite element are chosen based on the far‐field behavior of a homogeneous porous elastic half plane. The analysis procedure is applied to study the time‐settlement history and pore‐pressure dissipation characteristics of a bridge‐approach site in Oklahoma.
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References
1.
Alvappillai, A. (1988). “An infinite boundary element algorithm for subsidence due to water pumping from aquifers,” thesis presented to the Asian Institute of Technology, at Bangkok, Thailand, in partial fulfillment of the requirements for the degree of Master of Science.
2.
Bettess, P. (1977). “Infinite elements.” Int. J. Numer. Methods Engrg., 11, 53–64.
3.
Biot, M. A. (1941). “General theory of three‐dimiensional consolidation.” J. Appl. Phys., 12, 155–164.
4.
Booker, J. R., and Small, J. C. (1975). “An investigation of the stability of numerical solutions of Biot's equations of consolidation.” Int. J. Solids Struct., 151—172.
5.
Carter, J. P., Booker, J. R., and Small, J. C. (1979). “The analysis of finite elas‐toplastic consolidation.” Int. J. Numer. Anal. Methods Geomech.
6.
Christian, J. T. (1977). “Two‐ and three‐dimensional consolidation.” Numerical Methods in Geotechnical Engineering, C. S. Desai and J. T. Christian, eds., McGraw‐Hill, New York, N.Y., 399–426.
7.
Christian, J. T., and Boehmer, J. W. (1970). “Plane strain consolidation by finite elements.” J. Soil Mech. Found. Div., ASCE, 96(4), 1435–1457.
8.
Erdelyi, A. (1955). “Asymptotic representations of Fourier integrals and the method of stationary phase.” SIAM J. Appl. Math., 3(1), 17–27.
9.
Ghaboussi, J., and Wilson, E. L. (1973). “Flow of compressible fluid in porous elastic media.” Int. J. Numer. Methods Engrg., 5(3), 419–442.
10.
Herrmann, L. R. (1965). “Elasticity equations for incompressible and nearly incompressible materials by a variational theorem.” AIAA J., 3, 1896–1900.
11.
Hwang, C. T., Morgenstern, N. R., and Murray, D. T. (1971). “On solutions of plane strain consolidation problems by finite element methods.” Can. Geotech. J., 8(1), 109–118.
12.
Krause, G. (1978). “Finite element schemes for porous elastic media.” J. Engrg. Mech. Div., ASCE, 104(3), 605–620.
13.
Laguros, J. G., Zaman, M. M., and Mahmood, I. U. (1990). “Evaluation of causes of excessive settlements of pavements behind bridge abutments and their remedies—Phase II.” ORA 157‐293, Oklahoma Department of Transportation.
14.
Lewis, R. W., Roberts, G. K., and Zienkiewicz, O. C. (1976). “A nonlinear flow and deformation analysis of consolidation problems.” Proc. 2nd. Int. Conf. Numerical Methods in Geomechanics, C. S. Desai, ed., ASCE, New York, N.Y.
15.
Lynn, P. P., and Hadid, H. A. (1981). “Infinite elements with type decay.” Int. J. Numer. Methods Engrg., 17, 347–355.
16.
McNamee, J., and Gibson, R. E. (1960). “Displacement functions and linear transforms applied to diffusion through porous elastic media.” Q. J. Mech. Appl. Math., 13, 98–111.
17.
Rajapakse, R. K. N. D., and Karasudhi, P. (1985). “Elastostatic infinite elements for layered half spaces.” J. Engrg. Mech., ASCE, 111, 1144–1158.
18.
Roscoe, K. H., and Burland, J. B. (1968). “On the generalized stress‐strain behavior of wet clay.” Engineering plasticity, Cambridge Univ. Press, Cambridge, England, 535–609.
19.
Roscoe, K. H., Schofield, A. N., and Thurairajah, A. (1963). “Yielding of clays in states wetter than critical.” Geotechnique, 13(3), 211–240.
20.
Sandhu, R. S., and Wilson, E. L. (1969). “Finite element analysis of flow of saturated porous elastic media.” J. Engrg. Mech. Div., ASCE, 95(3), 641–652.
21.
Scott, R. F. (1963). Principles of soil mechanics. Addison Wesley, Reading, Mass.
22.
Selvadurai, A. P. S., and Karpurapu, R. (1989). “Composite infinite element for modeling unbonded saturated‐soil media.” J. Geotech. Engrg., ASCE, 115(11), 1633–1646.
23.
Simoni, L., and Schreffler, B. A. (1987). “Mapped infinite elements in soil consolidation.” Int. J. Numer. Methods Engrg., 24, 513–527.
24.
Siriwardane, H. J., and Desai, C. S. (1981). “Two numerical schemes for nonlinear consolidation.” Int. J. Numer. Methods Engrg., 17, 405–426.
25.
Ungless, R. L. (1973). “An infinite element,” thesis presented to the University of British Columbia, at Vancouver, B.C., Canada, in partial fulfillment of the requirements for the degree of Master of Science.
26.
Valliappan, S., Lee, I. K., and Boonlualohr, P. (1974). “Finite element analysis of consolidation problem.” Finite element methods in flow problems, J. T. Oden, et al., ed., Univ. of Alabama at Huntsville Press, Huntsville, Ala., 741–755.
27.
Yokoo, Y., Yamagata, K., and Nagaoka, H. (1971a). “Finite element method applied to Biot's consolidation theory.” Soils Found., 11(1), 25–35.
28.
Yokoo, Y., Yamagata, K., and Nagaoka, H. (1971b). “Variational principles for consolidation.” Soils Found., 11(4), 25–35.
29.
Zienkiewicz, O. C., and Bettess, P. (1975). “Infinite elements in the study of fluid structure interaction problems.” Proc. 2nd Int. Symp. on Computer Methods Appl. Sci., 523–540.
30.
Zienkiewicz, O. C., Emson, C., and Bettess, P. (1983). “A novel boundary infinite element.” Int. J. Numer. Methods Engrg., 19, 393–404.
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Published In
Journal of Geotechnical Engineering
Volume 117 • Issue 2 • February 1991
Pages: 219 - 240
Copyright
Copyright © 1991 ASCE.
History
Published online: Feb 1, 1991
Published in print: Feb 1, 1991
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