Technical Papers
Mar 6, 2017

Seismic Passive Resistance of Cohesive-Frictional Soil Medium: Kinematic Limit Analysis

Publication: International Journal of Geomechanics
Volume 17, Issue 8

Abstract

In the present study, extensive theoretical solutions in the form of charts have been generated based on a kinematically admissible translational mechanism for computing the passive resistance of cohesive-frictional soil retained by a rigid wall due to seismic body forces. With the application of the upper bound limit theorem of plasticity, the analysis was performed in the framework of a pseudostatic approach on an assumed composite collapse mechanism. This collapse mechanism comprises a radial shearing zone sandwiched between two triangular blocks, in which a new kinematically admissible velocity field is introduced, which provides upper bound values less than that computed by using the conventional logarithmic spiral and circular shearing zone reported in the earlier studies. The results are presented in terms of dimensionless passive earth-pressure coefficients due to the contribution of soil cohesion, surcharge, and unit weight of soil. The pseudostatic seismic forces do not affect the passive earth-pressure coefficients corresponding to the soil cohesion component; however, the passive earth-pressure coefficients, because of the soil unit weight and surcharge pressure, reduce considerably as the coefficients of seismic acceleration increase. Moreover, the reduction in passive earth-pressure coefficients is largely influenced by roughness, orientation of wall, slope angle of backfill soil, and the position of surcharge from the wall.

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References

Bolton, M. D. (1986). “ The strength and dilatancy of sands.” Géotechnique, 36(1), 65–78.
Caquot, A., and Kerisel, L. (1948). Traite de mecanique des sols, Gauthier Villars, Paris.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier, Amsterdam, Netherlands.
Chen, W. F., and Liu, X. L. (1990). Limit analysis in soil mechanics, Elsevier, Amsterdam, Netherlands.
Chen, W. F., and Rosenfarb, J. L. (1973). “ Limit analysis solutions of earth pressure problems.” Soils Found., 13(4), 45–60.
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 maximis et minimis á quelques problèmes de statique relatifs á l’arquiteture, Memoirs Academie Royal Pres. Division Sav., 7, Paris.
Drescher, A., and Detournay, E. (1993). “ Limit load in translational failure mechanisms for associative and non-associative materials.” Géotechnique, 43(3), 443–456.
Duncan, J., and Mokwa, R. (2001). “Passive earth pressures: Theories and tests.” J. Geotech. Geoenviron. Eng., 248–257.
Fang, Y., Chen, J., and Chen, C. (1997). “ Earth pressures with sloping backfill.” J. Geotech. Geoenviron. Eng., 250–259.
Fang, Y., Ho, Y., and Chen, T. (2002). “ Passive earth pressure with critical state concept.” J. Geotech. Geoenviron. Eng., 651–659.
Graham, J. (1971). “ Calculation of passive pressure in sand.” Can. Geotech. J., 8(4), 566–579.
Hanna, A., and Diab, R. (2016). “ Passive earth pressure of normally and overconsolidated cohesionless soil in terms of critical-state soil mechanics parameters.” Int. J. Geomech., 04016028.
Hanna, A., and Khoury, I. (2005). “ Passive earth pressure of overconsolidated cohesionless backfill.” J. Geotech. Geoenviron. Eng., 978–986.
Jumikis, A. R. (1962). Active and passive earth pressure coefficient tables, Bureau of Engineering Research, New Brunswick, NJ.
Kerisel, J., and Absi, E. (1990). Active and passive earth pressure tables, A. A. Balkema, Rotterdam, Netherlands.
Kumar, J. (2001). “ Seismic passive earth pressure coefficients for sands.” Can. Geotech. J., 38(4), 876–881.
Kumar, J., and Chitikela, S. (2002). “Seismic passive earth pressure coefficients using the method of characteristics.” Can. Geotech. J., 39(2), 463–471.
Kumar, J., and Mohan Rao, V. B. K. (2003). “Discussion: Seismic bearing capacity factors for spread foundation.” Géotechnique, 53(4), 445–446.
Kumar, J., and Subba Rao, K. S. (1997). “Passive pressure coefficients, critical failure surface and its kinematic admissibility.” Géotechnique, 47(1), 185–192.
Lancellotta, R. (2002). “Analytical solution of passive earth pressure.” Géotechnique, 52(8), 617–619.
Lancellotta, R. (2007). “Lower-bound approach for seismic passive earth resistance.” Géotechnique, 57(3), 319–321.
Lee, I. K., and Herington, J. R. (1972). “A theoretical study of the pressures acting on a rigid wall by a sloping earth or rock fill.” Géotechnique, 22(1), 1–26.
Maciejewski, J., and Jarzebowski, A. (2004). “Application of kinematically admissible solutions to passive earth pressure problems.” Int. J. Geomech., 127–136.
MATLAB 2014 [Computer software]. The MathWorks, Natick, MA.
Michalowski, R., and Shi, L. (1995). “Bearing capacity of footings over two-layer foundation soils.” J. Geotech. Eng., 421–428.
Mononobe, N., and Matsuo, O. (1929). “On the determination of earth pressure during earthquakes.” Proc., World Eng. Conf., Vol. 9. Tokyo, Japan, 179–187.
Morrison, E. E., and Ebeling, R. M. (1995). “Limit equilibrium computation of dynamic passive earth pressure.” Can. Geotech. J., 32(3), 481–487.
Mylonakis, G., Kloukinas, P., and Papantonopoulos, C. (2007). “An alternative to the Mononobe–Okabe equations for seismic earth pressures.” Soil Dyn. Earthquake Eng., 27(10), 957–969.
Okabe, S. (1924). “General theory on earth pressure and seismic stability of retaining walls and dams.” J. Japan Soc. Civ. Eng., 10(6), 1277–1323.
Patki, M., Dewaikar, D., and Mandal, J. (2017). “Numerical study on passive earth pressures using Kötter’s equation.” Int. J. Geomech., 06016015.
Richards, R., Elms, D. G., and Budhu, M. (1990). “Dynamic fluidization of soils.” J. Geotech. Eng., 740–759.
Sarma, S. K. (1999). “Seismic bearing capacity of shallow strip footings adjacent to a slope.” Proc., 2nd Int. Conf. Earthquake Geotech. Eng., Lisbon, A. A. Balkema, Netherlands, 309–313.
Shiau, J. S., Augarde, C. E., Lyamin, A. V., and Sloan, S. W. (2008). “Finite element limit analysis of passive earth resistance in cohesionless soils.” Soils Found., 48(6), 843–850.
Shields, D., and Tolunay, A. (1973). “Passive pressure coefficients by method of slices.” J. Soil Mech. Found. Div., 99(12), 1043–1053.
Shields, D. H., and Tolunay, A. Z. (1972). “Passive pressure coefficients for sand.” Can. Geotech. J., 9(4), 501–503.
Sokolovski, V. V. (1965). Statics of granular media, Pergamon Press, New York.
Soon, S. C., and Drescher, A. (2007). “Nonlinear failure criterion and passive thrust on retaining walls.” Int. J. Geomech., 318–322.
Soubra, A. H. (2000). “Static and seismic passive earth pressure coefficients on rigid retaining structures.” Can. Geotech. J., 37(2), 463–478.
Soubra, A. H., and Macuh, B. (2002). “Active and passive earth pressure coefficients by a kinematical approach.” Proc. Inst. Civ. Eng. Geotech. Eng., 155(2), 119–131.
Subba Rao, K., and Choudhury, D. (2005). “Seismic passive earth pressures in soils.” J. Geotech. Geoenviron. Eng., 131–135.
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. (1943). Theoretical soil mechanics, Wiley, New York.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 17Issue 8August 2017

History

Received: Jul 13, 2016
Accepted: Dec 5, 2016
Published online: Mar 6, 2017
Published in print: Aug 1, 2017
Discussion open until: Aug 6, 2017

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Research Fellow, Dept. of Civil Engineering, Indian Institute of Technology, Roorkee 247667, India. E-mail: [email protected]
Jagdish Prasad Sahoo [email protected]
Assistant Professor, Dept. of Civil Engineering, Indian Institute of Technology, Roorkee 247667, India (corresponding author). E-mail: [email protected]

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