Influence of micro-structural defects on post-buckling and large-amplitude vibration of geometrically imperfect gradient plate

The present paper deals with the investigation of large-amplitude vibration and post-buckling responses of functionally graded plates with initial geometric imperfection and microstructural defect. The mathematical formulation is based on nonpolynomial higher-order shear and normal deformation theory with a von Karman sense of nonlinear kinematic using modified $C^0$ continuity. The governing equations of motion for FGM plates are derived using variational approach. Through numerical experiments, the high numerical accuracy and the good convergence of the finite element solution are demonstrated for the structural response of FGM plate. The influence of geometric nonlinearity, geometric imperfection, microstructural defect (porosity) and geometric configuration on the nonlinear frequencies and buckling load is also investigated. Results are shown diagrammatically, which can serve as the benchmark for further research.