Stress Analysis of Thick Composite Laminates Using a Higher-Order Shear and Normal Deformable Plate Theory (HOSNDPT) and a Meshless MLPG Method with Radial Basis Functions

摘要

The Meshless Local Petrov-Galerkin (MLPG) method with Radial BasisFunctions (RBFs), and the Higher Order Shear and Normal Deformable Plate Theory(HOSNDPT) are used to analyze static infinitesimal deformations of thick laminatedcomposite elastic plates under different boundary conditions. Two types of RBFs,namely, Multiquadrics (MQ) and Thin Plate Splines (TPS), are employed forconstructing trial functions while a fourth order spline function is used as the testfunction. Computed results for different lamination schemes are found to match wellwith those obtained by other researchers. A benefit of using RBFs over thosegenerated by the moving least squares approximation is that no special treatment isneeded to impose essential boundary conditions, which substantially reduces thecomputational cost. Furthermore, the MLPG method does not require nodalconnectivity which reduces the time required to prepare the input data.