Enhanced meshfree method with new correlation functions for functionally graded plates using a refined inverse sin shear deformation plate theory

Abstract This paper presents a new numerical approach based on an effective meshfree method integrated with a refined inverse sin shear deformation plate theory to perform static bending, free vibration and buckling analysis of functionally graded plates. The present formulation is based on a refined inverse sin shear deformation theory (R-ISSDT). Unlike other traditional plate theories, the theory presented gives rise to only four governing equations, does not require shear correction factor, and captures the parabolic variation of the transverse shearing stresses through the thickness of the plate. In the formulation of the meshfree method a new correlation function is proposed which effectively eliminates the correlation parameters. After proposing the formulation of the problem, numerical examples are provided and the obtained results are compared with those found in literature.