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http://dx.doi.org/10.12989/sem.2006.22.6.665

Fuzzy reliability analysis of laminated composites  

Chen, Jianqiao (Department of Mechanics, Huazhong University of Science and Technology)
Wei, Junhong (Department of Mechanics, Huazhong University of Science and Technology)
Xu, Yurong (Department of Mechanics, Huazhong University of Science and Technology)
Publication Information
Structural Engineering and Mechanics / v.22, no.6, 2006 , pp. 665-683 More about this Journal
Abstract
The strength behaviors of Fiber Reinforced Plastics (FRP) Composites can be greatly influenced by the properties of constitutive materials, the laminate structures, and load conditions etc, accompanied by many uncertainty factors. So the reliability study on FRP is an important subject of research. Many achievements have been made in reliability studies based on the probability theory, but little has been done on the roles played by fuzzy variables. In this paper, a fuzzy reliability model for FRP laminates is established first, in which the loads are considered as random variables and the strengths as fuzzy variables. Then a numerical model is developed to assess the fuzzy reliability. The Monte Carlo simulation method is utilized to compute the reliability of laminas under the maximum stress criterion. In the second part of this paper, a generalized fuzzy reliability model (GFRM) is proposed. By virtue of the fact that there may exist a series of states between the failure state and the function state, a fuzzy assumption for the structure state together with the probabilistic assumption for strength parameters is adopted to construct the GFRM of composite materials. By defining a generalized limit state function, the problem is converted to the conventional reliability formula that enables the first-order reliability method (FORM) applicable in calculating the reliability index. Several examples are worked out to show the validity of the models and the efficiency of the methods proposed in this paper. The parameter sensitivity analysis shows that some of the mean values of the strength parameters have great influence on the laminated composites' reliability. The differences resulting from the application of different failure criteria and different fuzzy assumptions are also discussed. It is concluded that the GFRM is feasible to use, and can provide an effective and synthetic method to evaluate the reliability of a system with different types of uncertainty factors.
Keywords
laminated composites; fuzzy reliability; Monte Carlo simulation; generalized limit state function;
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1 Lev, V. and Sergey, V. Gruov. (1996), 'A general formal approach for fuzzy reliability analysis in the possibility context', Fuzzy Sets and Systems. 83, 203-213   DOI   ScienceOn
2 Lin, S.C. and Kam, T.Y. (2000), 'Probabilistic failure analysis of transversely loaded laminated composite plates using first-order second moment method', J. Eng. Mech., 126, 812-820   DOI   ScienceOn
3 Liu, Yubin, Qiao, Zhong and Wang, Guangyuan. (1997), 'Fuzzy random reliability of structures based on fuzzy random variables', Fuzzy Sets and Systems, 86, 345-355   DOI   ScienceOn
4 Mahadevan, S., Liu, X. and Xiao, Q. (1997), 'A probabilistic progressive failure model of composite laminates', J. of Reinforced Plastics and Composites, 16, 1020-1038   DOI
5 Melchers, R.E. (1999), Structural Reliability - Analysis and Prediction. Second Edition, John Wiley & Sons, Chichester
6 Murotsu, Y., Miki, M. and Shao, S. (1994), 'Reliability design of fiber reinforced composites', Structural Safety, 15(1-2), 35-49   DOI   ScienceOn
7 Ochoa, O.O. and Reddy, J.N. (1992), Finite Element Analysis of Composite Laminates, Kluwer Academic Press, Dordrecht
8 Jeong, H.K and Shenoi, R.A. (1998), 'Reliability analysis of mid-plane symmetric laminated plates using direct simulation method', Comp. Struct., 43, 1-13   DOI   ScienceOn
9 Jeong, H.K and Shenoi, R.A. (2000), 'Probabilistic strength analysis of rectangular FRP plates using Monte Carlo simulation', Comput. Struct., 76, 219-235   DOI   ScienceOn
10 Jiang, Qimi and Chen, Chun-Hsien (2003), 'A numerical algorithm of fuzzy reliability', Reliability Engineering and System Safety, 80, 299-307   DOI   ScienceOn
11 Kogiso, N., Shao, S. and Murotsu, Y. (1997), 'Reliability analysis of simply supported symmetric laminated plate subjected to buckling load', Trans JSME, Ser. A, 63, 138-145 (in Japanese)   DOI
12 Zhao, H. and Gao, Z. (1995), 'Reliability analysis of composite laminate by enumerating significant failure modes', J. Reinforced Plastics and Composites, 14, 427-444   DOI
13 Zimmermann, H.J. (1991), Fuzzy Set Theory and Its Applications, Kluwer Academic Publishers, Boston
14 Philippidis, T.P. and Lekou, D.J. (1998), 'Probabilistic failure prediction for FRP composites', Composites Science and Technology, 58, 1973-1982   DOI   ScienceOn
15 Wei, J.H. and Chen, J.Q. (2004), 'Fuzzy reliability of Laminated Composites', Proc. Int. Conf. on Heterogeneous Material Mechanics 2004, Chongqing University Press, 91-94
16 Yakov, Ben H. (1994), 'A non-probabilistic concept of reliability', Structural Safety, 14, 227-245   DOI   ScienceOn
17 Gurlich, Mark R. and Pipes, R Byron (1998), 'Reliability of composite in a random stress state', Composites Science and Technology, 58, 871-881   DOI   ScienceOn
18 Gurvich, M.R. and Pipes, R.B. (1995), 'Probabilistic analysis of multi-step failure process of a laminated composite in bending', Composite Science and Technology, 55, 413-421   DOI   ScienceOn
19 Zhang, Zhimin et al. (1993), The Structure Mechanics ofthe Composites, Beijing Aerospace University Press
20 Dong, Yuge, Zhu, Wengyu, and Chen, Xinzhao. (2000), 'Reliability simulation with fuzzy information', Mechanical Science and Technology, 19(3), 381-382 (in Chinese)
21 Chen, J.Q., Wang, X.Y. and Luo, C. (2002), 'Reliability analysis of FRP laminated plates with consideration of both initial imperfection and failure sequence', ACTA Mechanica Solida Sinica, 15(3), 227-235
22 Chen, J.Q., Wang, X.Y. and Luo, C. (2002), 'Reliability analysis of FRP laminated plates with initial imperfection', In: AMSE in Fatigue, Fracture, and Damage Analysis, ASME Pressure Vessels and Piping Conf., Vancouver, 2002, New York, McMillan, 443(2), 1-9
23 Cruse, T.S. (1994), 'Review of recent probabilistic design in composite structures', CAME, Consultants in Applied Mechanics and Engineering
24 Di Sciuva, M. and Lomario, D. (2003), 'A comparison between Monte Carlo and FORMs in calculation of the reliability of a composite structure', Comp. Struct., 59, 155-162   DOI   ScienceOn
25 Bowles, John B. and Pecaez, CoLon E. (1995), 'Application of fuzzy logic to reliability engineering', Proc. of the IEEE, 83(3), 435-449
26 Cai, K.Y., Wen, C.Y. and Zhang, M.L. (1993), 'Fuzzy states as a basis for a theory of fuzzy reliability', Microelectronics and Reliability, 33, 2253-2263   DOI   ScienceOn
27 Cai, K.Y., Wen, C.Y. and Zhang, M.L. (1995), 'Posbist reliability behavior of fault-tolerant systems', Microelectronics and Reliability, 35, 49-56   DOI   ScienceOn