Static and vibration analysis of functionally graded microplate with porosities based on higher-order shear deformation and modified strain gradient theory

Based on fundamental equations of the elasticity theory, a unified higher-order shear deformation theory is developed for bending and free vibration analysis functionally graded (FG) microplates with porosities. The modified strain gradient employed to capture size effects. Bi-directional series hybrid shape functions are used solve problems. Several important effects including thickness-to-material length scale parameters, side-to-thickness ratio, boundary conditions deflections natural frequencies FG porous investigated.