Passive Earth Pressure of Normally and Overconsolidated Cohesionless Soil in Terms of Critical-State Soil Mechanics Parameters
Publication: International Journal of Geomechanics
Volume 17, Issue 1
Abstract
Earth pressure theories occupy a paramount position in the field of geotechnical engineering. Passive earth pressure plays an important role in the design of retaining walls and anchors. Furthermore, it provides the resisting force used in modeling soil–structure interaction problems. In the literature, numerous reports can be found dealing with the passive earth pressure for cohesionless soil. The majority of these reports have used the Mohr-Coulomb criteria as the constitutive law governing the relationship between the passive earth pressures and the angles of shearing resistance of sand. Accordingly, the results obtained have displayed a wide range of discrepancies in the values of the coefficient of passive earth pressure, especially for the case of overconsolidated sand. This paper presents a numerical model for a retaining wall translating horizontally into a mass of sand and accordingly subjected to passive earth pressure. The model utilizes the finite-element technique, the constitutive law of the modified Cam-clay model, and the critical-state soil mechanics (CSSM) concept. This model is capable of incorporating the effect of soil deformation and the stress history of the sand into the values of the passive earth pressure, which were ignored in previous models. After validating the numerical model with the available experimental data for normally consolidated and overconsolidated sands, the model was used to generate data for a wide range of parameters. The results were used to develop design theories capable of predicting the passive earth pressure for normally consolidated and overconsolidated sands as function of the CSSM parameters. Furthermore, a procedure is presented to evaluate these parameters from the results of triaxial tests.
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Acknowledgments
The financial support from the Natural Science and Engineering Research Council of Canada (NSERC) and Concordia University is acknowledged.
References
Antão, A. N., Santana, T. G., Silva, M. V., and Guerra, N. M. (2011). “Passive earth pressure coefficients by upper-bound numerical limit analysis.” Can. Geotech. J., 48(5). 767–780.
Atkinson, J. (1993). An introduction to the mechanics of soil and foundations through critical state soil mechanics, McGraw-Hill, London.
Budhu, M. (2000). Soil mechanics and foundations, John Wiley & Sons, New York.
Choudhury, D., and Katdare, A. (2013). “New approach to determine seismic passive resistance on retaining walls, considering seismic waves.” Int. J. Geomech., 852–860.
Coulomb, C. A. (1776). “Essai sur une application des règles des maximise et minimis a quelque problèmes de statique.” Mémoire Académie Royale des Sciences, Vol. 7, Académie Royale des Sciences, Paris.
CRISP [Computer software]. CRISP Consortium Limited, Houston.
Devi, D. (2014). “On the determination of modified Cam clay model parameters.” Int. J. Innovative Res. Sci. Eng. Tech., 3(4).
Fang, Y. S, Ho, Y. C., and Chen, T. J. (2002). “Passive earth pressure with critical state concept.” J. Geotech. Geonviron. Eng., 651–659.
FLAC [Computer software]. Itasca Consulting Group Inc., Minneapolis.
Hanna, A. M. (2001). “Determination of plane-strain shear strength of sand from the results of triaxial tests.” Can. Geotech. J., 38(6), 1231–1240.
Hanna, A. M., and Khoury, I. (2005). “Passive earth pressure of overconsolidated cohesionless backfill.” J. Geotech. Geonviron. Eng., 978–986.
Hanna, A. M., and Saad, N. (2001). “Effect of compaction duration on the induced stress levels in a laboratory prepared sand bed.” Geotech. Test. J., 24(4), 430–438.
Jaky, J. (1944). “A Myygalmi nyomas tenyezoje [The coefficient of earth pressure at rest].” Magyar Merrnok es Epitesz-Egylet Kozlonye, 355–358.
Kumar, J., and Subba Rao, K. S. (1997). “Passive pressure coefficients, critical failure surface and its kinematic admissibility.” Géotechnique, 47(1), 185–192.
Meyerhof, G. G. (1976). “Bearing capacity and settlement of pile foundations.” J. Geotech. Engrg. Div., 102(GT3), 195–228.
Murayama, S. (1985). Constitutive laws of soil: Rep. of ISSMFE subcommittee on constitutive laws of soils, Japanese Society of Soil Mechanics and Foundation Engineering, Tokyo.
Patki, M., Mandal, J. N., and Dewaikar, D. M. (2015). “Determination of passive earth pressure coefficients using limit equilibrium coupled with the Kötter equation.” Can. Geotech. J., 52(9), 1241–1254.
Potts, D. M., and Gens, A. (1984). “The effect of the plastic potential in boundary value problems involving plane strain deformation.” Int. J. Numer. Anal. Methods Geomech., 8(3), 259–286.
Rankine, W. J. M. (1857). “On the stability of loose earth.” Philos. Trans. R. Soc. London, 147, 9–27.
Shields, D. H., and Tolunay, A. Z. (1973). “Passive pressure coefficients by the method of slices.” J. Soil Mech. Found. Div., 99(12), 1043–1053.
Tang, C., Phoon, K., and Toh, K. (2014). “Lower-bound limit analysis of seismic passive earth pressure on rigid walls.” Int. J. Geomech., 04014022.
Terzaghi, K. (1948). Theoretical soil mechanics in engineering practices, Wiley, New York.
Wilson, P., and Elgamal, A. (2010). “Large-scale passive earth pressure load-displacement tests and numerical simulation.” J. Geotech. Geonviron. Eng., 1634–1643.
Wood, D. M. (1990). Soil behaviour and critical state soil mechanics, Cambridge University Press, Cambridge, U.K.
Wood, R., and Rahim, R. (1999). SAGE CRISP technical reference manual, CRISP Consortium Limited, Houston.
Zhu, D. Y., and Qian, Q. (2000). “Determination of passive earth pressure coefficients by the method of triangular slices.” Can. Geotech. J., 37(2), 485–491.
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© 2016 American Society of Civil Engineers.
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Received: Aug 6, 2015
Accepted: Feb 24, 2016
Published online: Mar 29, 2016
Discussion open until: Aug 29, 2016
Published in print: Jan 1, 2017
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