Structural Engineering and Mechanics

  • 제22권6호
  • /
  • Pages.665-683
  • /
  • 2006
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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)
  • 투고 : 2005.03.21
  • 심사 : 2005.12.13
  • 발행 : 2006.04.20
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

  1. Bowles, John B. and Pecaez, CoLon E. (1995), 'Application of fuzzy logic to reliability engineering', Proc. of the IEEE, 83(3), 435-449
  2. 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 https://doi.org/10.1016/0026-2714(93)90065-7
  3. Cai, K.Y., Wen, C.Y. and Zhang, M.L. (1995), 'Posbist reliability behavior of fault-tolerant systems', Microelectronics and Reliability, 35, 49-56 https://doi.org/10.1016/0026-2714(94)00052-P
  4. 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
  5. 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
  6. Cruse, T.S. (1994), 'Review of recent probabilistic design in composite structures', CAME, Consultants in Applied Mechanics and Engineering
  7. 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 https://doi.org/10.1016/S0263-8223(02)00170-8
  8. Dong, Yuge, Zhu, Wengyu, and Chen, Xinzhao. (2000), 'Reliability simulation with fuzzy information', Mechanical Science and Technology, 19(3), 381-382 (in Chinese)
  9. Gurlich, Mark R. and Pipes, R Byron (1998), 'Reliability of composite in a random stress state', Composites Science and Technology, 58, 871-881 https://doi.org/10.1016/S0266-3538(97)00194-2
  10. 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 https://doi.org/10.1016/0266-3538(95)00118-2
  11. 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 https://doi.org/10.1016/S0263-8223(98)00085-3
  12. Jeong, H.K and Shenoi, R.A. (2000), 'Probabilistic strength analysis of rectangular FRP plates using Monte Carlo simulation', Comput. Struct., 76, 219-235 https://doi.org/10.1016/S0045-7949(99)00171-6
  13. Jiang, Qimi and Chen, Chun-Hsien (2003), 'A numerical algorithm of fuzzy reliability', Reliability Engineering and System Safety, 80, 299-307 https://doi.org/10.1016/S0951-8320(03)00055-3
  14. 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) https://doi.org/10.1299/kikaia.63.138
  15. 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 https://doi.org/10.1016/0165-0114(95)00391-6
  16. 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 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:8(812)
  17. 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 https://doi.org/10.1016/S0165-0114(96)00002-4
  18. 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 https://doi.org/10.1177/073168449701601104
  19. Melchers, R.E. (1999), Structural Reliability - Analysis and Prediction. Second Edition, John Wiley & Sons, Chichester
  20. Murotsu, Y., Miki, M. and Shao, S. (1994), 'Reliability design of fiber reinforced composites', Structural Safety, 15(1-2), 35-49 https://doi.org/10.1016/0167-4730(94)90051-5
  21. Ochoa, O.O. and Reddy, J.N. (1992), Finite Element Analysis of Composite Laminates, Kluwer Academic Press, Dordrecht
  22. Philippidis, T.P. and Lekou, D.J. (1998), 'Probabilistic failure prediction for FRP composites', Composites Science and Technology, 58, 1973-1982 https://doi.org/10.1016/S0266-3538(98)00060-8
  23. 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
  24. Yakov, Ben H. (1994), 'A non-probabilistic concept of reliability', Structural Safety, 14, 227-245 https://doi.org/10.1016/0167-4730(94)90013-2
  25. Zhang, Zhimin et al. (1993), The Structure Mechanics ofthe Composites, Beijing Aerospace University Press
  26. Zhao, H. and Gao, Z. (1995), 'Reliability analysis of composite laminate by enumerating significant failure modes', J. Reinforced Plastics and Composites, 14, 427-444 https://doi.org/10.1177/073168449501400502
  27. Zimmermann, H.J. (1991), Fuzzy Set Theory and Its Applications, Kluwer Academic Publishers, Boston

피인용 문헌

  1. Fuzzy reliability-based optimum design of laminated composites vol.19, pp.3, 2006, https://doi.org/10.1007/s10338-006-0631-7
  2. Reliability design optimization of composite structures based on PSO together with FEA vol.26, pp.2, 2013, https://doi.org/10.1016/j.cja.2013.02.011
  3. Fuzzy Robust Design of FRP Laminates vol.42, pp.2, 2008, https://doi.org/10.1177/0021998307086214
  4. Reliability analysis of laminated composite shells by response surface method based on HSDT vol.72, pp.2, 2006, https://doi.org/10.12989/sem.2019.72.2.203
  5. A new constitutive model to predict effective elastic properties of plain weave fabric composites vol.77, pp.5, 2006, https://doi.org/10.12989/sem.2021.77.5.651