Numerical investigation on the buckling and vibration of cracked FG cylindrical panels based on the phase-field formulation

Abstract In this research, a numerical study is performed on the buckling and vibration of cracked functionally graded (FG) cylindrical panels under external pressure based on the phase-field formulation (PFF). For this purpose, the matrix form of energy functional is first derived on the basis of first-order shear deformation shell theory (FSDST) and phase-field model. To numerically handle the problem, the finite difference differential and integral operators are employed to directly discretize the energy functional. Then, by the use of Hamilton’s principle, the discretized governing equations are obtained. The accuracy and efficiency of the developed model are demonstrated through various comparative and convergence studies. In order to analyze the vibration and buckling behavior of cracked FG cylindrical panels, two different crack patterns are considered. In addition, a wide range of numerical results is provided to study the effects of crack’s shape, length and inclination angle, boundary conditions (BCs) and geometrical parameters on the buckling pressures and natural frequencies of FG cylindrical panels.