TECHNICAL PAPERS
Nov 1, 2000

Three-Dimensional Passive Earth Pressures by Kinematical Approach

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 126, Issue 11

Abstract

The 3D passive earth pressure problem is investigated by the upper-bound method in limit analysis. Three kinematically admissible failure mechanisms referred to as M1, Mn, and Mnt are considered for the calculation schemes. The M1 mechanism is an extension into three dimensions of the classical 2D Coulomb mechanism. The Mn mechanism is a generalization of the M1 mechanism and is composed of a sequence of rigid blocks. Finally, the Mnt mechanism is a more elaborate mechanism in which the final block of the Mn mechanism is truncated by two portions of right circular cones. The lowest upper-bound solutions given by the present analysis are compared with other authors' results and presented in a form of design tables relating the geometrical parameters, soil properties, and the 3D passive earth pressure coefficients.

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References

1.
Blum, H. ( 1932). “Wirtschaftliche Dalbenformen und deren Berechnung.” Bautechnik, 10(5), 122–135 (in German).
2.
Caquot, A., and Kérisel, J. ( 1949). Traité de mécanique des sols, Gauthier-Villars, Paris (in French).
3.
Chen, W. F. ( 1975). Limit analysis and soil plasticity, Elsevier Science, Amsterdam.
4.
Chen, W. F., and Rosenfarb, J. L. ( 1973). “Limit analysis solutions of earth pressure problems.” Soils and Found., Tokyo, 13(4), 45–60.
5.
Collins, I. F. ( 1969). “The upper-bound theorem for rigid/plastic solids to include Coulomb friction.” J. Mech. Phys. Solids, 17, 323–338.
6.
Collins, I. F. ( 1973). “A note on the interpretation of Coulomb's analysis of the thrust on a rough retaining wall in terms of the limit theorems of plasticity theory.” Géotechnique, London, 24(1), 106–108.
7.
Coulomb, C. A. ( 1773). “Sur une application des règles de maximis et minimis à quelques problèmes de statique relatifs à l'architecture.” Acad. R. Sci. Mém. Math. Phys., 7, 343–382 (in French).
8.
Drescher, A., and Detournay, E. ( 1993). “Limit load in translational failure mechanisms for associative and non-associative materials.” Géotechnique, London, 43(3), 443–456.
9.
Lee, I. K., and Herington, J. R. ( 1972). “A theoretical study of the pressures acting on a rigid wall by a sloping earth on rockfill.” Géotechnique, London, 22(1), 1–26.
10.
Lysmer, J. (1970). “Limit analysis of plane problems in soil mechanics.”J. Soil Mech. and Found. Div., ASCE, 96(4), 1311–1334.
11.
Meksaouine, M. ( 1993). “Etude expérimentale et théorique de la poussée passive sur pieux rigides.” PhD thesis, Institut National des Sciences Appliquées de Lyon, Lyon, France (in French).
12.
Michalowski, R. L. (1999). “Closure on `Stability of uniformly reinforced slopes.' ”J. Geotech. and Geoenvir. Engrg., ASCE, 125(1), 81–86.
13.
Michalowski, R. L., and Shi, L. (1995). “Bearing capacity of footings over two-layer foundation soils.”J. Geotech. Engrg., ASCE, 121(5), 421–428.
14.
Michalowski, R. L., and Shi, L. (1996). “Closure on `Bearing capacity of footings over two-layer foundation soils.' ”J. Geotech. Engrg., ASCE, 122(8), 701–703.
15.
Mroz, Z., and Drescher, A. (1969). “Limit plasticity approach to some cases of flow of bulk solids.”J. Engrg. Ind. Trans. Am. Soc. Mech. Engrs., 91, 357–364.
16.
Rahardjo, H., and Fredlund, D. G. ( 1984). “General limit equilibrium method for lateral earth force.” Can. Geotech. J., Ottawa, 21(1), 166–175.
17.
Regenass, P. ( 1999). “Application de la méthode cinématique de l'analyse limite au calcul de la butée tridimensionnelle et de la charge limite de plaques d'ancrage superficielles.” PhD thesis, Université Louis Pasteur, Strasbourg, France (in French).
18.
Shields, D. H., and Tolunay, A. Z. ( 1972). “Passive pressure coefficients for sand by the Terzaghi and Peck method.” Can. Geotech. J., Ottawa, 9(4), 501–503.
19.
Shields, D. H., and Tolunay, A. Z. (1973). “Passive pressure coefficients by methods of slices.”J. Soil Mech. and Found. Div., ASCE, 99(12), 1043–1053.
20.
Sokolovski, V. V. ( 1960). Static of granular media, Butterworth's, London.
21.
Soubra, A.-H. ( 2000). “Static and seismic passive earth pressure coefficients on rigid retaining structures.” Can. Geotech. J., Ottawa, 37(2), in press.
22.
Soubra, A.-H., Kastner, R., and Benmansour, A. ( 1999). “Passive earth pressures in the presence of hydraulic gradients.” Géotechnique, London, 49(3), 319–330.
23.
Terzaghi, K. ( 1943). Theoretical soil mechanics, Wiley, New York.
24.
Zakerzadeh, N., Fredlund, D. G., and Pufahl, D. E. ( 1999). “Interslice force functions for computing active and passive earth force.” Can. Geotech. J., Ottawa, 36(6), 1015–1029.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 126Issue 11November 2000
Pages: 969 - 978

History

Received: Oct 25, 1999
Published online: Nov 1, 2000
Published in print: Nov 2000

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Member, ASCE
Prof., IUP Génie Civil et Infrastructures, LGCNSN, Bd. de l'université, BP 152, 44603 Saint-Nazaire cedex, France; formerly, ENSAIS, 24, Bld de la Victoire, 67084 Strasbourg cedex, France. E-mail: [email protected]
Asst., ENSAIS, 24, Bld de la Victoire, 67084 Strasbourg cedex, France. E-mail: [email protected]

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