Ruocco, Eugenio; Minutolo, Vincenzo Buckling of composite plates with arbitrary boundary conditions by a semi-analytical approach. (English) Zbl 1359.74103 Int. J. Struct. Stab. Dyn. 12, No. 5, Article ID 1250033, 16 p. (2012). Summary: A semi-analytical approach for the buckling analysis of symmetrically laminated rectangular plates under arbitrary constrains is presented. In the proposed method, the out-of-plane displacement field is assumed to be of a multiplicative form containing two vectors of functions, one being prescribed and the other to be determined, depend on separate variables. As a consequence, one may solve the equilibrium equation analytically, and obtain exact buckling loads for the biaxial compression and different boundary constrains. Several cases of plate buckling under different load combinations are studied, in order to demonstrate the applicability of the proposed approach. The results obtained are compared with the existing ones, where available in analytical form, and approximate results obtained by other numerical methods. Cited in 5 Documents MSC: 74G60 Bifurcation and buckling 74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics 74K20 Plates 74A40 Random materials and composite materials 74E30 Composite and mixture properties Keywords:buckling; composite plates; analytical solutions; biaxial compression PDF BibTeX XML Cite \textit{E. Ruocco} and \textit{V. Minutolo}, Int. J. Struct. Stab. Dyn. 12, No. 5, Article ID 1250033, 16 p. (2012; Zbl 1359.74103) Full Text: DOI OpenURL References: [1] DOI: 10.1016/S0263-8223(01)00162-3 [2] Armentani E., J. Achiev. Mat. Manuf. Eng. 19 pp 53– [3] DOI: 10.1007/s10704-008-9297-0 · Zbl 1308.74158 [4] DOI: 10.1142/S021945541000349X · Zbl 1271.74196 [5] DOI: 10.1142/S0219455407002241 [6] Minutolo V., CMES 41 pp 27– [7] Timoshenko P., Theory of Elastic Stability (1963) [8] Lekhnitskii S. G., Anisotropic Plates (1968) [9] Mariam J. J., Int. J. Struct. Stab. Dyn. 3 pp 523– [10] DOI: 10.1016/j.compstruct.2006.11.001 [11] DOI: 10.1177/002199801772662109 [12] DOI: 10.1016/j.tws.2011.03.014 [13] DOI: 10.1016/j.tws.2011.03.013 [14] DOI: 10.1007/s10237-009-0183-0 [15] DOI: 10.1016/j.tws.2012.06.016 [16] DOI: 10.1016/j.engstruct.2011.12.049 [17] DOI: 10.1142/S0219455411003963 · Zbl 1271.74099 [18] DOI: 10.1016/j.compstruct.2007.02.003 [19] DOI: 10.1016/j.compstruct.2004.04.003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.