Asymptotical Construction of an Efficient High-Fidelity Model for Multilayer Functionally Graded Plates

摘要

An efficient high-fidelity plate model is developed for heterogeneous multilayer laminates made of functionallyngraded material. Taking advantage of the smallness of the ratio of the thickness to the characteristic wavelength ofnthe deformation of the reference surface, we apply the variational-asymptotic method to rigorously decouple thenthree-dimensional, anisotropic elasticity problem into a one-dimensional through-the-thickness analysis and a two-ndimensional plate analysis. The through-the-thickness analysis provides constitutive relations for the plate analysisnas well as the recovery information for the three-dimensional fields, reducing the complex three-dimensionalnelasticitymodel to a simple two-dimensional platemodel with an excellent tradeoff between efficiency and accuracy.nThe present model is valid for large displacements and global rotations and can capture all the geometricnnonlinearity of a plate when the strains are small. A few examples are used to validate this model.