The variational limit equilibrium method is adopted to calculate the active earth pressure with and without tension cracks appearing. According to static equilibrium equations of sliding soil, a functional extreme-value isoperimetric model of cohesive soil is deduced in the general case of an inclined wall, sloping backfill, and uniform surcharge on the backfill surface. The active earth pressure is caculated by a functional extreme-value problem of two unknown functions through introducing two undefined Lagrange multipliers. According to the corresponding Euler equations and the boundary conditions, functions of the sliding surface and the normal stress distribution along the sliding surface, which contain two undefined Lagrange multipliers, are deduced.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. A. Coulomb, "Test on an application of the rules of maximums and minimums to some static problems, related to architecture," Mem. Math. Phys., 3, 38 (1776).
W. J. M. Rankine, "On the stability of loose earth," Proc. R. Soc. London, 147, 9-27 (1857).
T. H. Wu, Soil Mechanics, Allyn and Bacon, Boston (1976).
K. Terzaghi, R. B. Peck, and G. Mesri, Soil Mechanics in Engineering Practice, John Wiley & Sons, New York (1996).
Y. Z. Wang, "Distribution of earth pressure on a retaining wall," Geotechnique, 50, 83-88 (2000).
J. Kopascy, On the fracture surfaces and fracture stresses in the baute, The memorial book for Prof. Dr. J. Jaky, Akademiaikiado, Budapest (1955).
J. Kopascy, "Three-dimensional stress distribution and slip surfaces in earth works at rupture," Proc. 4th Int. Conf. on Soil Mech. Found. Eng., London, Vol. 1, 339-342 (1957).
J. Kopascy, "Distribution des contraintesala rupture, forme de la surface de glissement et hauteur theorique des talus," Proc. 5th Int. Conf. on Soil Mech. and Found. Eng., Paris, Vol. 2, 641-650 (1961).
D. Leshchinsky, R. Baker, and M. L. Silver, "Three-dimensional analysis of slope stability," Int. J. Numer. Anal. Met., 9, 199-233 (1985).
D. Leshchinsky, "Slope stability analysis: generalized approach," J. Geotech. Eng., 116, 851-867 (1990).
L. Y. Wu and Y. F. Tsai, "Variational stability analysis of cohesive slope by applying boundary integral equation method," J. Mech., 21, 187-198 (2005).
M. Garber and R. Baker, "Bearing capacity by variational method," J. Geotech. Geoenviron., 103, 1209-1225 (1979).
A. H. Soubra, R. Kastner, and A. Benmansour, " Influence of the seepage force on the passive earth pressures ," Proc. 12th European Conf. Soil Mech. Geotech. Eng., Amsterdam, Vol. 2, 851-856 (1999).
A. H. Soubra, R. Kastner, and A. Benmansour, "Passive earth pressures in the presence of hydraulic gradients," Geotechnique, 49, 319-330 (1999).
C. T. Ke, "Study on calculation theory of earth pressure on retaining wall," M.Sc. thesis, Hainan University, Hainan, China (2014).
M. Ahmadabadi and A. Ghanbari, "New procedure for active earth pressure calculation in retaining walls with reinforced cohesive-frictional backfill," Geotext. Geomembr., 27, 456-463 (2009).
Y. M. Cheng, "Seismic lateral earth pressure coefficients for c-ϕ soils by slip line method," Comput. Geotech., 30, 661-670 (2003).
B. M. Das and V. K. Puri. "Static and dynamic active earth pressure," Geotech. Geol., 14, 353-366 (1996).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 4, pp. 8-14, July-August, 2020.
Rights and permissions
About this article
Cite this article
Tang, Y., Chen, J. New Approach for Active Earth Pressure Calculation on Rigid Retaining Walls with Cohesive Backfill. Soil Mech Found Eng 57, 288–295 (2020). https://doi.org/10.1007/s11204-020-09668-x
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11204-020-09668-x