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Analysis of Sandwich Plates of Arbitrary Shape

A linear, static bending analysis of truss-core sandwich plates for arbitrary shape and boundary conditions is presented. The three-dimensional truss-core sandwich plate is idealized as an equivalent two-dimensional structurally orthotropic thick plate continuum. This analysis is based on the small deflection, first-order shear deformation theory of composite plates, which utilizes the Reissner–Mindlin plate theory. The behavior of the plate is governed by a system of differential equations expressed in terms of deflection and slopes. The numerical procedure is developed to solve these equations based on the combination of the Ritz and R-function methods. The numerical results obtained demonstrate the efficiency and accuracy of the proposed technique.