Jaehun Lee/Maenghyo Cho/Jun-Sik Kim
International Journal of Aeronautical and Space Sicences, vol. 12, no. 2, pp.200-209, 2011

Abstract : The analytical solution of rectangular laminated composite plates is obtained via a formal asymptotic method. From three-dimensional static equilibrium equations, the microscopic one-dimensional and macroscopic two-dimensional equations are systematically derived by employing the scaling of the thickness coordinate with respect to the characteristic length of the plate. The one-dimensional through-the-thickness analysis is performed by applying a standard finite element method. The derived two-dimensional plate equations, which take the form of recursive equations, are solved under sinusoidal loading with simply-supported boundary conditions. To demonstrate the validity and accuracy of the present method, various types of composite plates are studied, such as cross-ply, anti-symmetric angle-ply and sandwich plates. The results obtained are compared to those of the classical laminated plate theory (CLPT), the first-order shear deformation theory (FSDT) and the three-dimensional elasticity. In the present analysis, it is of particular interest to observe that the characteristic length of each composite is dependent upon the layup configurations, which affects the convergence rate of the method. The results shown herein are promising that it can serve an efficient tool for the analysis and design of laminated composite plates.

Keyword : Laminated Composite, Sandwich Plate, Formal Asymptotic Analysis, FAMPA, Analytical Solution.