Chang, Chihchen; Yang, Henry T. Y. Reliability of uncertain flexible laminated skewed plates under random compressions. (English) Zbl 0751.73042 AIAA J. 30, No. 2, 464-472 (1992). A geometrically nonlinear stochastic thin-plate finite element is formulated to study the reliability of fiber-reinforced laminated plates with structural uncertainties under random in-plane loads. The structural uncertainties considered include modulus of elasticity, Poisson’s ratio, thickness, fiber orientation of individual lamina, and geometric imperfection of the plate. The deterministic formulation of a 48–degree- of-freedom (DOF) skewed quadrilateral laminated thin-plate element is based on tensorial mathematics and classical laminate theory. The stochastic element formulation is accomplished by including the effect of structural uncertainties and random in-plane loads. Cited in 1 Document MSC: 74H50 Random vibrations in dynamical problems in solid mechanics 74K20 Plates 74E30 Composite and mixture properties 74S05 Finite element methods applied to problems in solid mechanics Keywords:mean-centered second-order perturbation technique; Newton-Raphson iterative method; Hill-Tsai failure criterion; postbuckling analyses; nonlinear stochastic thin-plate finite element; structural uncertainties PDFBibTeX XMLCite \textit{C. Chang} and \textit{H. T. Y. Yang}, AIAA J. 30, No. 2, 464--472 (1992; Zbl 0751.73042) Full Text: DOI