Stochastic finite element method for slope stability analysis . This article is not included in your organization’s subscription. However, you may be able to access this article under your organization’s agreement with Elsevier. . Kiyoshi Ishii and Makoto Suzuki Ohsaki Research Institute, Shimizu Construction Co., Ltd., Fukoku-Seimei Bldg., 2-2-2, Uchisaiwai-cho, Chiyoda-ku, Tokyo, 100, Japan Civil Engineering Development Dept., Shimizu Construction Co., Ltd., Mita-43-Mori Bldg., No. 13-16, Mita 3-chome, Minato-ku, Tokyo, 108, Japan Received 2 August 1985; accepted 4 March 1986. ; Available online 22 January 2003. . 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. Author Keywords: Soil mechanics; probability theory; stability; finite element method; failure; safety Article Outline • References The stochastic finite element method in structural reliability*1 . This article is not included in your organization’s subscription. However, you may be able to access this article under your organization’s agreement with Elsevier. . Armen Der Kiureghian and Jyh-Bin Ke Department of Engineering, University of California, Berkeley, CA 94720, USA Available online 21 February 2003. . Abstract First-order reliability and finite element methods are used to develop a methodology for reliability analysis of structures with stochastically varying properties and subjected to random loads. Two methods for discretization of random fields are examined and the influence of the correlation length of random property or load fields on the reliability of example structures are investigated. It is found that the correlation length of load fields has significant influence on the reliability against displacement or stress limit states. The correlation length of property fields is significant for displacement limit states, but may not be significant for stress limit states. Examples studied include a fixed ended beam with stochastic rigidity and a plate with stochastic elasticity. Article Outline The presence of weak materials, bedding, or discontinuities at critical locations...
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