A new refined plate theory with isogeometric approach for the static and buckling analysis of functionally graded plates

摘要

A new refined plate theory (RPT) combined with isogeometric analysis (IGA) is proposed for the static and buckling analysis of functionally graded plates (FG plates). The proposed theory uses a new hyperbolic distributed function to describe the distribution of the shear strains and stresses through the plate thickness. It satisfies the shear stress free boundary conditions, so that it does not require shear correction factors. Compared with the higher-order shear deformation theories (HSDTs), the proposed RPT needs only 4 unknown variables, which improves the computational efficiency. The NURBS approximation functions built for proposed theory can easily solve the C1-continuity problem required by RPT. The material properties of the FG plates can be obtained by the rule of mixture and Mori-Tanaka technique. The static bending and buckling analysis results of different FG plates are given, and the effects of the material index n and width-to-thickness ratios on the static bending and buckling behavior of FG plates under different boundary conditions are investigated numerically.