Stochastic finite element method for slope stability analysis |
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Authors: | Kiyoshi Ishii |
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Affiliation: | 1. School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China;2. Institute for Risk and Reliability, Leibniz Universität Hannover, Callinstr. 34, Hannover, Germany;3. Institute for Risk and Uncertainty and School of Engineering, University of Liverpool, Peach Street, Liverpool L69 7ZF, UK;4. International Joint Research Center for Engineering Reliability and Stochastic Mechanics, Tongji University, 1239 Siping Road, Shanghai 200092, China;1. ARC Centre of Excellence for Geotechnical Science and Engineering, The University of Newcastle, NSW, Australia;2. Colorado School of Mines, Golden, CO, USA |
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Abstract: | This paper describes a stochastic finite element method using the first-order approximation at a failure point of a set of random variables. The method is extended to equivalent normal represtation of non-normal distributions and offers two advantages: (1) It gives a consistent measure of failure probability for the limit-states defined in terms of different but equivalent performance function formulations, (2). It can be applied to reliability analysis for non-normal variants. Results using this method are compared favorably with that of Monte Carlo simulation in a simple example. Furthermore, this method will be applied to earth slope stability analysis to give probability levels for local and global failures on a potential failure surface. |
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Keywords: | Soil mechanics probability theory stability finite element method failure safety |
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