Effect of slip width on the permanent displacement of earth slopes

Document Type : Research Article


1 Geotechnical Engineering Research Center, International Institute of Earthquake Engineering and Seismology, Tehran, Iran

2 Department of Civil Engineering, Semnan University, Semnan, Iran


Newmark sliding block method is commonly used for estimating earthquake-induced permanent displacement of earth slopes and embankments. Since this method is a simplified dynamic analysis procedure with acceptable accuracy, it has been received considerable attention among the geotechnical practitioners. However, it has some shortcomings such as neglecting system response and sliding mass rotation. Hence, researchers have proposed modified procedure to enhance the realistic features of this method. The effect of sliding mass rotation, which sets the block in a gentler condition, was previously considered by continuous increment of yield acceleration. Since the sliding mass is three dimensional in reality, smaller permanent displacement is expected when the width of block is accounted for. In this paper, width of the rotating-sliding mass is taken into account in the coupled and decoupled solution of block sliding equations. The results show that the width of the slip zone is effective on the resulting displacements. With a constant slip length, whatever slip width is reduced, yield acceleration increases and consequently difference between the modified decoupled (or modified coupled) and decoupled (or coupled) increases.


[1] N. M., Newmark; Effects of Earthquakes on Dams and Embankments, Geotechnique, Vol. 15, No. 2, pp. 139-160, 1965.
[2] J. S., Lin; R. V., Whitman; Decoupling Approximation to the Evaluation of Earthquake–Induced Plastic Slip in Earth Dams, Earthquake Engineering Structural Dynamics, Vol. 11, No. 5, pp. 667-678, 1983.
[3] A. K., Chopra; L., Zhang; Earthquake–Induced Base Sliding of Concrete Gravity Dams, Journal of Structural Engineering, ASCE, Vol. 117, No. 12, pp. 3698-3719,1991.
[4] S. L., Kramer; M. W., Smith; Modified Newmark Model for Seismic Displacements of Compliant Slopes, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 123, No. 7, pp. 635-644, 1997.
[5] E. M., Rathje; N., Abrahamson; J. D., Bray; Simplified Content Estimates of Earthquake Ground Motions, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 124, No. 2, pp. 150-159, 1998.
[6] E. M., Rathje; J. D., Bray; An Examination of Simplified Earthquake–Induced Displacement Procedures for Earth Structures, Canadian Geotechnical Journal, Vol. 36, No.1, pp. 72-87, 1999.
[7] C. A., Stamatopoulos; Sliding System Predicting Large Permanent Co–seismic Movements of Slope, Earthquake Engineering Structural Dynamics, Vol. 25, No. 10, pp.1075-1093, 1996.
[8] M. H., Baziar; H., Rezaeipour; Y., Jafarian; Decoupled Solution for Seismic Permanent Displacement of Earth Slopes Using Deformation-Dependent Yield Acceleration, Journal of Earthquake Engineering, Vol.16, No. 7, pp. 917-936, 2012.
[9] D., Pradel; P. M., Smith; J. P., Stewart; G., Raad; Case History of Landslide Movement During the Northridge Earthquake, Journal of Geotechnical and Geoenvironmental Engineering, Vol. 131, No. 11, pp.1360-1369, 2005.
[10] F. I., Makdisi; H. B., Seed; Simplified Procedure for Estimating Dam and Embankment Earthquake–Induced Deformations, Journal of Geotechnical Engineering, ASCE, Vol. 104, No. GT7, pp. 849 867, 1987.
[11] E. M., Rathje; J. D., Bray; Nonlinear Coupled Seismic Sliding Analysis of Earth Structures, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 126, No. 11, pp. 1002-1014, 2000.
[12] J. D., Bray; T., Travasarou; Simplified Procedure for Estimating Earthquake-Induced Deviatoric Slope Displacements, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 133, No. 4,pp. 381-392, 2007.
[13] E. M., Rathje; G. A., Antonakos; Unified Model for Predicting Earthquake-Induced Sliding Displacements of Rigid and Flexible Slopes, Soil Dynamics and Earthquake Engineering, Vol. 122, No. 12, pp. 51-60, 2011.
[14] N. M., Newmark; A Method for Computation for Structural Dynamics, Journal of the Engineering Mechanics Division, ASCE, Vol. 85, No. 3, pp. 67-94,1959.