Generalised Reliability On Hydro-Geo Objects

Wang Ya-jun*, 1, Wang Jun2
1 School of Maritime and Civil Engineering , Zhejiang Ocean University, Zhoushan, Zhejiang 316000, P. R. China
2 College of Architecture and Civil Engineering, Wenzhou University, Wenzhou, Zhejiang 325035, P. R. China

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© 2015 Ya-jun and Jun;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the School of Maritime and Civil Engineering , Zhejiang Ocean University, Zhoushan, 316000, P. R. China; Tel:15858052791; E-mail:


This study established the fuzzy logic modeling of the stochastic finite element method based on the first-order approximation theorem. Fuzzy mathematical models of safety repertories were incorporated into the stochastic finite element method 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 result shows that the middle region of the dike is the principal zone of concentrated failure due to local fractures. There is also some local shear failure on the dike crust. This study provides a referential method for solving complex multi-uncertainty problems in engineering safety analysis.

Keywords: Approximation algorithm, stochastic finite element method, fuzzy membership, dike reliability.