Evaluation of the Reliability Performance of Failure Criteria for Composite Structures

Abstract

Evolution of materials, following the design requirements of special structures, has shifted interest towards development of composite members able to meet strength requirements “tailored” to specific applications. These members can provide appropriate, more cost effective structures, however absence of generic design guidelines raise constraints towards derivation of optimized structures. Reliability-based assessment can overcome this limitation by ensuring that acceptable levels of target reliability are achieved throughout their service life. This paper presents a methodology for reliability assessment of composite members based on appropriate limit state functions derived according to fundamental failure criteria, Tsai-Hill and Tsai-Wu, applicable to composite materials. The methodology that is proposed employs a Stochastic Response Surface Method (SRSM) which combines in discrete steps FEA modelling, numerical simulations and analytical probabilistic assessment techniques, allowing use of commercial and custom developed specialized numerical tools. Application of the proposed methodology on a complex composite structural geometry will illustrate its efficiency and evaluate the reliability performance of the limit states derived and examined.

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A. Kolios and S. Proia, "Evaluation of the Reliability Performance of Failure Criteria for Composite Structures," World Journal of Mechanics, Vol. 2 No. 3, 2012, pp. 162-170. doi: 10.4236/wjm.2012.23019.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] B. R. Ellingwood, “Issues Related to Structural Ageing in Probabilistic Risk Assessment of Nuclear Power Plants,” Reliability Engineering and System Safety, Vol. 62, No. 3, 1998, pp. 171-183. doi:10.1016/S0951-8320(98)00018-0
[2] Y. W. Liu and F. Moses, “Sequential Response Surface Method and Its Application in reliability Analysis of Aircraft Structural Systems,” Journal of Structural Safety, Vol. 16, No. 1-2, 1994, pp. 39-46. doi:10.1016/0167-4730(94)00023-J
[3] A. Kolios, “A Multi-Configuration Approach to Reliability Based Structural Integrity Assessment for Ultimate Strength,” Ph.D. Thesis, Cranfield University, Cranfield, 2010.
[4] J. C. P. Kam, “Fatigue Reliability Assessment of Offshore Structures,” Quality and Reliability Engineering International, Vol. 4, No. 1, 1988, pp. 41-48. doi:10.1002/qre.4680040111
[5] P. C. Das, “Application of Reliability Analysis in Bridge Management,” Engineering Structures, Vol. 20, No. 11, November 1998, pp. 957-959, doi:10.1016/S0141-0296(97)00189-2
[6] T. V. Micic, M. K. Chryssanthopolous and M. J. Baker, “Reliability Analysis for Highway Bridge Deck Assessment,” Journal of Structural Safety, Vol. 17, No. 3, 1995, pp. 135-150. doi:10.1016/0167-4730(95)00005-O
[7] G. C. Sih and A. M. Skudra, “Failure Mechanics of Composites,” Elsevier Science & Technology Books, Amster- dam, 1985.
[8] R. G. Budynas and K. J. Nisbett, “Shigley’s Mechanical Engineering Design,” McGraw-Hill, New York, 2006.
[9] S. W. Tsai, “Strength Theories of Filamentary Structures Fundamental Aspects of Fiber Reinforced Plastic Composites,” Wiley-Interscience, New York, 1968.
[10] V. D. Azzi, S. W. Tsai, “Anisotropic Strength of Composites,” Experimental Mechanics, Vol. 5, No. 9, 1965, pp. 283-288. doi:10.1007/BF02326292
[11] I. M. Daniel and O. Ishai, “Engineering Mechanics of Com- posite Materials,” Oxford University Press, New York, 1995.
[12] I. Gol’denblat and V. A. Kopnov, “Strength of Glass Reinforced Plastic in the Complex Stress State,” Polymer Mechanics, Vol. 1, No. 2, 1966, pp. 54-59. doi:10.1007/BF00860685
[13] S. W. Tsai and E. M. Wu, “A General Theory of Strength for Anisotropic Materials,” Journal of Composite Materials, Vol. 5, No. 1, 1971, pp. 58-80.
[14] MSC Software Corporation, “Patran—Laminates Theory,” 2011. http://www.mscsoftware.com/training_videos/patran/Reverb_help/index.html#page/Laminate%20Modeler/lam_theory.6.5.html
[15] M. T. Todinov, “Risk-Based Reliability Analysis and Generic Principles for Risk Reduction,” Elsevier Science, Oxford, 2006.
[16] S. K. Choi, R. V. Grandi and R. A. Canfield, “Reliability-Based Structural Design,” Springer-Verlag, London, 2007.
[17] M. Hohenbichler, S. Gollwitzer, W. Kruse and R. Rackwitz, “New Light on First- and Second-Order Reliability Methods,” Structural Safety, Vol. 4, No. 4, 1987, pp. 267-284. doi:10.1016/0167-4730(87)90002-6
[18] H. P. Gavin and S. C. Yau, “High-Order Limit State Functions in the Response Surface Method for Structural Re- liability Analysis,” Structural Safety, Vol. 30, No. 2, 2008, pp. 162-179. doi:10.1016/j.strusafe.2006.10.003
[19] A. J. Kolios, et al., “An Approach of Stochastic Expansions for the Reliability Assessment of Complex Structures,” Proceedings of the 8th International Probabilistic Workshop, Szczecin, 18-19 November 2010.
[20] A. M. Hasofer and N. C. Lind, “Exact and Invariant Second Moment Code Format,” Journal of the Engineering Mechanics Division, Vol. 100, No. 1, 1974, pp. 111-121.
[21] M. Rosenblatt, “Remarks on a Multivariate Transforma- tion,” The Annals of Mathematical Statistics, Vol. 23, No. 3, 1952, pp. 470-472.
[22] M. Hohenbichler and R. Rackwitz, “Non-Normal Dependent Vectors in Structural Safety,” Journal of the Engineering Mechanics Division, Vol. 107, No. 6, 1981, pp. 1127-1138.
[23] K. Breitung, “Asymptotic Approximations for Multi-Normal Integrals,” Journal of the Engineering Mechanics Division, Vol. 110, No. 3, 1984, pp. 357-366.
[24] L. Tvedt, “Two Second-Order Approximations to the Failure Probability—Section on Structural Reliability,” A/S Veritas Research, Hovik, 1984.
[25] J. von Neumann and S. Ulam, “The Monte Carlo Method,” Bulletin AMS, 51-0-165, 1945.
[26] Dassault Systèmes Simulia, “Abaqus 6.9 Theory Manual,” 2009.
[27] G. Savage, “Formula 1 Composites Engineering,” Engineering Failure Analysis, Vol. 17, No. 1, 2010, pp. 92-115. doi:10.1016/j.engfailanal.2009.04.014
[28] A. Makeev, G. Seon and E. Lee, “Failure Predictions for Carbon/Epoxy Tape Laminates with Wavy Plies,” Journal of Composite Materials, Vol. 44, No. 1, 2010, pp. 95-112. doi:10.1177/0021998309345352
[29] J. Lee and C. Soutis, “Experimental Investigation on the Behaviour of CFRP Laminated Composites under Impact and Compression after Impact (CAI),” Proceedings of the EU-Korea Conference on Science and Technology, Berlin, 28-31 August 2008, pp. 275-286.
[30] T. Nguyen-Thoi, G. R. Liu, H. C. Vu-Do and H. Nguyen- Xuan, “A Face-Based Smoothed Finite Element Method (FS-FEM) for Visco-Elastoplastic Analyses of 3D Solids Using Tetrahedral Mesh,” Computer Methods in Applied Mechanics and Engineering, Vol. 198, No. 41-44, 2009, pp. 3479-3498. doi:10.1016/j.cma.2009.07.001

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