Meshfree analysis of functionally graded plates with a novel four-unknown arctangent exponential shear deformation theory

A novel refined arctangent exponential shear deformation theory (RAESDT) is presented for analysis the mechanical behavior of both isotropic and sandwich FGM plates. Material properties are set to be at each point varied across thickness direction obeying a power-law distribution volume fraction gradation with respect core or skins plate. Unlike high-order plate theories based on five more variables, displacement field RAESDT using variations in planed displacements were approximated by only four unknowns, satisfying naturally tangential stress-free conditions surfaces leading reduce computational efforts. In accordance enhanced moving kriging interpolation (EMKI)-based meshfree method new quadrature correlation function introduced numerical modeling. Numerical validations different configurations, geometries, length ratios boundaries conducted. The obtained results compared corresponding solutions available literature showing accuracy efficiency present approach.