Slope reliability analysis based on local averaging of two-dimensional random field on an arc curve
HU Changming1，YUAN Yili1，MEI Yuan1，WANG Xueyan1，2，WANG Juan1
(1. College of Civil Engineering，Xi'an University of Architecture and Technology，Xi'an，Shaanxi 710055，China；2. College of Environmental and Chemical Engineering，Xi'an Polytechnic University，Xi'an，Shaanxi 710048，China)
Abstract：The local averaging value of the random field of soil strength parameters on the slope slip surface is the main factor that controls the reliability of a slope. Based on the theory of random field，a formula of the local averaging variance is derived by one-dimensional local averaging of two-dimensional random field on the arc curve，and then，a simple reliability analysis method for homogeneous undisturbed slopes is proposed. The method first estimates the limit state curve through a few deterministic finite element analysis，then calculates the statistical index of the slope strength parameters by the one-dimensional local average variance formula，and finally obtains the probability of slope instability by integrating the area of the distribution function of the strength parameters on the dangerous side of the limit state curve. Comparison between the developed method and Monte Carlo stochastic finite element method shows that the proposed method is reliable and can provide a new idea for slope reliability analysis.
胡长明1，袁一力1，梅 源1，王雪艳1，2，王 娟1. 基于二维随机场在圆弧曲线上局部平均化的边坡可靠度分析[J]. 岩石力学与工程学报, 2020, 39(2): 251-261.
HU Changming1，YUAN Yili1，MEI Yuan1，WANG Xueyan1，2，WANG Juan1. Slope reliability analysis based on local averaging of two-dimensional random field on an arc curve. , 2020, 39(2): 251-261.
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2020, Vol. 39 
