Modeling and analysis of cross-ply and angle-ply laminated plates under patch loads using RBF based meshfree method and new HSDT

摘要

Angle-ply laminated plates have been examined for flexure analysis with multiquadric radial basis function (MQRBF) base meshfree method. A new higher order shear deformation theory (HSDT) representing the transverse shear strain function is proposed in the displacement field. Proposed theory satisfies the condition of continuity and differentiability and is accurate enough to predict the results of flexure. Governing differential equations (GDEs) are derived using energy principle. A MATLAB code is developed to obtain the results for deflection and stresses of the angle-ply laminated plate. The flexure results for laminated plates under patch loads commonly used in general practice is obtained with proposed HSDTs and meshfree method. Present results are validated with published results for the cross-ply laminated plate, and some new results are produced for different loading conditions for angle-ply laminated plates. In the present study, eight layered symmetric cross-ply laminate of equal thickness, an antisymmetric cross-ply laminate of equal thickness and a general angle-ply laminate of equal thickness is considered. The effect of the span to thickness ratio, number of layers and shifting patch loads is presented. (C) 2019 Elsevier Ltd. All rights reserved.