Abstract
A probabilistic finite element analysis procedure for postbuckling analysis of laminated composite shells is developed. The total Lagrangian formulation, employing a degenerated 3-D laminated composite shell finite element with the full Green-Lagrange strains and first-order shear deformable kinematics is used. The first-order second-moment technique for probabilistic finite element analysis of random fields is employed and results are presented in the form of mean and variance of the structural response. Reliability calculations are made by using the first-order reliability method combined with sensitivity derivatives from the finite element analysis. Two examples are solved to illustrate the variability of shell and panel postbuckling problems. In general, the procedure is quite effective in determining the response statistics and reliability for postbuckling behavior of laminated composite shells.
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References
Tani, S. and Nakagiri, S., “Reliability Synthesis of CFRP Laminated Plate,” Proc. ICOSSAR ‘89, 5th Int. Conf. on Structural Safety and Reliability, San Francisco, CA, p. 2079, 1989.
Liu, W. K., Belytschko, T., and Mani, A., “Random Field Finite Elements,” Int J. for Numerical Methods in Engineering, Vol. 23, p. 1831, 1986.
Chao, W. C. and Reddy, J. N., “Analysis of Laminated Composite Shells Using a Degenerated 3-D Element,” Int. J. Numerical Methods in Engineering, Vol. 20, p. 1991, 1984.
Hasofer, A. M. and Lind, N. C, “Exact and Invariant Second-Moment Code Format,” J. of the Engineering Mechanics Division, ASCE, Vol. 100, No. EM1, p. 111, 1974.
Rackwitz, R. and Fiessler, B., “Structural Reliability Under Combined Random Load Sequences,” J. of Computers and Structures, Vol. 9, p. 489, 1978.
Ang, A. H. S. and Tang, W. K., Probability Concepts in Engineering Planning and Design, Volumes I and II, Basic Principles, Wiley, New York, 1984.
Crisfield, M. A., “A Fast Incremental/Iterative Solution Procedure that Handles “Snap-Through”,” Computers and Structures, Vol. 13, p. 55, 1980.
Starnes, J. H., Jr., and Rouse, M., “Postbuckling and Failure Characteristics of Selected Flat Rectangular Graphite-Epoxy Plates Loaded in Compression,” AIAA Paper No. 81-0543, 1981.
Engelstad, S. P., Knight, Jr., N. F., and Reddy, J. N., “Postbuckling Response and Failure Prediction of Flat Rectangular Graphite-Epoxy Plates Loaded in Axial Compression,” Proceedings of the 32nd Structures, Structural Dynamics and Materials Conference, Baltimore, Maryland, A Collection of Technical Papers, Part 2, p. 888, 1991.
Engelstad, S. P., “Nonlinear Probabilistic Finite Element Modeling of Composite Shells,” Ph.D. Dissertation, Virginia Polytechnic Institute and State University, Blacksburg, VA, December 1990.
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© 1991 Computational Mechanics Publications
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Engelstad, S.P., Reddy, J.N. (1991). A Probabilistic Postbuckling Analysis of Composite Shells. In: Spanos, P.D., Brebbia, C.A. (eds) Computational Stochastic Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3692-1_70
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DOI: https://doi.org/10.1007/978-94-011-3692-1_70
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-698-0
Online ISBN: 978-94-011-3692-1
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