Bending, vibration and buckling isogeometric analysis of functionally graded porous microplates based on the TSDT incorporating size and surface effects

This paper presents a new microplate model for the static bending, free vibration, and buckling analysis of functionally graded (FG) porous plates. The model is based on the third-order shear deformation theory (TSDT) and incorporates the microstructural effect using the modified couple stress theory (MCST), as well as the surface stress effect using the Gurtin–Murdoch theory. The accuracy and reliability of the proposed model are evaluated using NURBS-based isogeometric analysis (IGA), which demonstrates excellent validation results. Furthermore, this study provides new insights into the mechanical behavior of FG porous microplates, investigating the influences of boundary conditions, surface effects, length scale parameters, porosity coefficients, plate aspect ratios, and buckling load conditions. Novel conclusions are drawn based on the analysis of deflection, stress, natural frequency, and buckling load.