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Mathematical Problems in Engineering
Volume 2013, Article ID 820267, 11 pages
Research Article

Evaluate the Impact of Cold Wave on Face Slab Cracking Using Fuzzy Finite Element Method

College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, Jiangsu 210098, China

Received 6 November 2012; Revised 7 February 2013; Accepted 7 February 2013

Academic Editor: Valentina E. Balas

Copyright © 2013 Dongjian Zheng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We use fuzzy finite element method (FEM) to analyze the impact of cold wave on face slab cracking of a concrete-faced rockfill dam (CFRD). The static response of dam and the temperature field of face slab are calculated using deterministic FEM since some observed and test data can be obtained. Some parameters of Goodman contact element between face slabs and cushion material are selected as fuzzy variables, and the fuzzy FEM is used to calculate fuzzy stress of face slab. The fuzzy FEM is implemented using vertex method based on the extension principle. Through the analysis of two selected calculation cases of cold wave, it is shown that the calculated cracking direction and cracking zone caused by thermal stress are similar to those of the observed cracks. This proves that the cold wave that caused swift air temperature drop is an important reason for the cracking of face slab. According to these analysis results, some cracking prevention measures are then proposed.