New methods for system reliability analysis of soil slopes

Canadian Geotechnical Journal - Tập 48 Số 7 - Trang 1138-1148 - 2011
Jie Zhang1, Limin Zhang2, Wilson H. Tang2
1Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education and Department of Geotechnical Engineering, Tongji University, Shanghai, 200092, China
2Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong

Tóm tắt

A slope may have many possible slip surfaces. As sliding along any slip surface can cause slope failure, the system failure probability of a slope is different from the probability of failure along an individual slip surface. In this paper, we first suggest an efficient method for evaluating the system failure probability of a slope that considers a large number of possible slip surfaces. To obtain more insights into the system failure probability of a slope, we also propose a method to identify a few representative slip surfaces most important for system reliability analysis among a large number of potential slip surfaces and to calculate the system failure probability based on these representative slip surfaces. An equation for estimating the bounds of system failure probability based on the failure probability of the most critical slip surface is also suggested. The system failure probability is governed by only a few representative slip surfaces. For a homogenous slope, the failure probability of the most critical slip surface is a good approximation of the system failure probability. For a slope in layered soils, the system failure probability can be significantly larger than the failure probability of the most critical slip surface.

Từ khóa


Tài liệu tham khảo

Ang, A.H.S., and Tang, W.H. 1984. Probability concepts in engineering planning and design: design, risk and reliability. Vol. 2. Wiley, New York.

Ang, A.H.S., and Tang, W.H. 2007. Probability concepts in engineering: emphasis on applications to civil and environmental engineering. Vol. 1. 2nd ed. Wiley, New York.

10.1680/geot.1955.5.1.7

10.1139/T08-055

10.1061/(ASCE)GT.1943-5606.0000035

10.1016/j.compgeo.2009.01.003

10.1016/0951-8320(94)00063-T

Ditlevsen O., 1979, Journal of Structural Mechanics, ASCE, 7, 453, 10.1080/03601217908905329

10.1139/T06-050

10.1061/(ASCE)1090-0241(2004)130:5(507)

10.1061/(ASCE)GT.1943-5606.0000099

Huang J., 2010, Soils and Foundations, 50, 343, 10.3208/sandf.50.343

Krahn, J. 2004. Stability modelling with Slope/W: an engineering methodology. Geo-Slope International Ltd., Calgary, Alta.

10.1016/j.compgeo.2009.07.005

10.1016/j.compgeo.2009.05.013

10.1061/(ASCE)0733-9399(2007)133:12(1378)

10.1139/t66-009

10.1139/t77-016

10.1680/geot.1965.15.1.79

Ng, K.S. 2005. Reliability analysis on the stability of slope. M.Sc. thesis, Universiti Teknologi Malaysia, Kuala Lumpur, Johor Bahru, Malaysia.

10.1061/(ASCE)0733-9410(1990)116:8(1185)

Shooman, M.L. 1968. Probabilistic reliability: an engineering approach. McGraw-Hill Book Company, New York.

10.1061/(ASCE)1090-0241(2008)134:12(1691)

10.1016/j.enggeo.2009.06.023

10.1139/T10-044

10.1139/t07-004

10.1061/(ASCE)1090-0241(2006)132:11(1444)

10.1061/(ASCE)1090-0241(2007)133:7(878)

10.1680/geot.2005.55.2.183

10.1061/(ASCE)GT.1943-5606.0000018

10.1061/(ASCE)GT.1943-5606.0000205

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Thông tin xuất bản

Canadian Geotechnical Journal

Tập 48 Số 7

1138-1148

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