Volume 5 Issue 2
Jun.  2012
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Ya-jun WANG, Wo-hua ZHANG, Chu-han ZHANG, Feng JIN. 2012: Fuzzy stochastic damage mechanics (FSDM) based on fuzzy auto-adaptive control theory. Water Science and Engineering, 5(2): 230-242. doi: 10.3882/j.issn.1674-2370.2012.02.011
Citation: Ya-jun WANG, Wo-hua ZHANG, Chu-han ZHANG, Feng JIN. 2012: Fuzzy stochastic damage mechanics (FSDM) based on fuzzy auto-adaptive control theory. Water Science and Engineering, 5(2): 230-242. doi: 10.3882/j.issn.1674-2370.2012.02.011
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Fuzzy stochastic damage mechanics (FSDM) based on fuzzy auto-adaptive control theory

doi: 10.3882/j.issn.1674-2370.2012.02.011
  • 1.

    School of Naval Architecture and Civil Engineering, Zhejiang Ocean University,  Zhoushan 316000, P. R. China

  • 2.

    State Key Laboratory of Hydroscience and Hydraulic Engineering, Tsinghua University, Beijing 100084, P. R. China

  • 3.

    Key Laboratory of Soft Soils and Geoenvironmental Engineering, Ministry of Education, Zhejiang University, Hangzhou 310027, P. R. China

  • 4.

    College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, P. R. China

Funds:  the National Natural Science Foundation of China (Grant No. 51109118), the China Postdoctoral Science Foundation (Grant No. 20100470344), the Fundamental Project Fund of Zhejiang Ocean University (Grant No. 21045032610), and the Initiating Project Fund for Doctors of Zhejiang Ocean University (Grant No. 21045011909).
More Information
  • Corresponding author: Ya-jun WANG
  • Received Date: 2011-05-24
  • Rev Recd Date: 2011-07-07
    Abstract
  • In order to fully interpret and describe damage mechanics,the origin and development of fuzzy stochastic damage mechanics were introduced based on the analysis of the harmony of damage, probability, and fuzzy membership in the interval of [0,1]. In a complete normed linear space, it was proven that a generalized damage field can be simulated through probability distribution. Three kinds of fuzzy behaviors of damage variableswereformulated and explained through analysis of the generalized uncertainty of damage variables and the establishment of a fuzzy functional expression. Corresponding fuzzy mapping distributions, namely,the half-depressed distribution, swing distribution,and combined swing distribution, which can simulate varying fuzzy evolution in diverse stochastic damage situations, were set up. Furthermore, through demonstration of the generalized probabilistic characteristics of damage variables, the cumulative distribution function and probability density function of fuzzy stochastic damage variables, which show probability distribution, were modified according to the expansion principle. The three-dimensional fuzzy stochastic damage mechanical behaviors of the Longtan rolled-concrete dam were examined with the self-developed fuzzy stochastic damage finite element program. The statistical correlation and non-normality of random field parameters were considered comprehensively in the fuzzy stochastic damage model described in this paper. The results show that an initial damage field based on the comprehensive statistical evaluation helps to avoid many difficulties in the establishment of experiments and numerical algorithms for damage mechanics analysis.

     

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