Water Science and Engineering 2008, 1(4) 36-46  DOI:   10.3882/j.issn.1674-2370.2008.04.004   ISSN: 1674-2370 CN: 32-1785/TV

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first-order approximation
stochastic finite element method
fuzzy math algorithm
stability of embankment and foundation
Wang Yajun
Zhang Wohua
Jin Weiliang
Wu Changyu
Ren Dachun
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Fuzzy stochastic generalized reliability studies on embankment systems based on first-order approximation theorem

Wang Yajun*1, 2;Zhang Wohua1, 2;Jin Weiliang2;Wu Changyu3;Ren Dachun3

1. Key Laboratory of Soft Soils and Geoenvironmental Engineering, Ministry of Education, Zhejiang University, Hangzhou 310027, P. R. China
2. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, P. R. China
3. Yangtze River Scientific Research Institute, Wuhan, 430010, P. R. China


In order to address the complex uncertainties caused by interfacing between the fuzziness and randomness of the safety problem for embankment engineering projects, and to evaluate the safety of embankment engineering projects more scientifically and reasonably, this study presents the fuzzy logic modeling of the stochastic finite element method (SFEM) based on the harmonious finite element (HFE) technique using a first-order approximation theorem. Fuzzy mathematical models of safety repertories were introduced into the SFEM to analyze the stability of embankments and foundations in order to describe the fuzzy failure procedure for the random safety performance function. The fuzzy models were developed with membership functions with half depressed gamma distribution, half depressed normal distribution, and half depressed echelon distribution. The fuzzy stochastic mathematical algorithm was used to comprehensively study the local failure mechanism of the main embankment section near Jingnan in the Yangtze River in terms of numerical analysis for the probability integration of reliability on the random field affected by three fuzzy factors. The result shows that the middle region of the embankment is the principal zone of concentrated failure due to local fractures. There is also some local shear failure on the embankment crust. This study provides a referential method for solving complex multi-uncertainty problems in engineering safety analysis

Keywords first-order approximation   stochastic finite element method   fuzzy math algorithm   stability of embankment and foundation   reliability  
Received 2008-08-04 Revised 2008-11-18 Online:  
DOI: 10.3882/j.issn.1674-2370.2008.04.004
Corresponding Authors: Wang Yajun
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