10.24423/engtrans.407.2006
A Fuzzy-Set Approach to Buckling Analysis of Composite Structures
References
V.V. Bolotin, Application of the methods of the theory of probability and the theory of reliability to analysis of structures [in Russian], Moscow 1971.
I. Elishakoff, Probabilistic methods in the theory of structures, John Wiley & Sons, New York, 1983.
J.N. Yang, L.J. Lee, D.Y. Sheu, Modulus reduction and fatigue damage of matrix dominated composites laminates, Composite Structures, 21, 91–100, 1992.
J. Lee, B. Harris, D. P. Almond, F. Hammett, Fibre composites fatigue-life determination, Composites: Part A, 28A, 5–15, 1997.
S.P. Engelstart, J.N. Reddy, Probabilistic nonlinear finite element analysis of composite structures, AIAA J., 31, 362–369, 1993.
S. Nagakiri, H. Takabatake, S. Tani, Uncertain eigenvalue analysis of composite lam-inated plates by the stochastic finite element method, J. Engng. for Industry, 109, 9–12, 1987.
W.K. Liu, T. Belytschko, A. Mani, Probabilistic finite elements for nonlinear structural dynamics, Comp. Meth. in Appl. Mech. & Eng., 56, 61–81, 1986.
W.K. Liu, T. Belytschko, A. Mani, Random field finite elements, IJNME, 23, 1831–1845, 1986.
A.E. Bogdanovitch, S.P. Juszanov, Buckling analysis of imperfect cylindrical shells subjected to axial compression [in Russian], Mekch. Komp. Mat., 821–831, 1981.
S.P. Juszanow, Reliability analysis of laminated composite shells with stochastic material properties [in Russian], Mekh. Komp. Mat., 87–96, 1985.
S. Adali, Fuzzy optimization of laminated cylindrical pressure vessels, [in:] Composite Structures 6 I.H. Marshall [Ed.], Elsevier, London, 249–260, 1981.
S.J. Kim, N.S. Goo, Optimal design of laminated composite plates in a fuzzy environment, AIAA J., 31, 578–583, 1993.
K. Abdel-Tawab, A.K. Noor, A fuzzy set analysis for a dynamic thermo-elasto-viscoplastic damage response, Computers & Structures, 70, 91–107, 1999.
A. Muc, P. Kędziora, Application of fuzzy set theory in mechanics of composite mate-rials, Soft Computing in Textile Sciences, L. Sztandera. C. Pastore [Eds.], Springer Verlag, 16–50, 2003.
W. Dong, H. C. Shab, Vertex method for computing functions of fuzzy variables, Fuzzy Set & System, 24, 65–78, 1987.
J.M. Whitney, A.N. Leissa, Analysis of heterogeneous anisotropic plates, Journal of Applied Mechanics, 36, 261–266, 1969.
A. Muc, Optimal fibre orientations for simply-supported plates under compression, Composite Structures, 9, 161172, 1988.
NISA II User's manual, Troy, Michigan, USA, 1996.
DOI: 10.24423/engtrans.407.2006