Buckling of cracked FG plate resting on elastic foundation considering the effect of delamination phenomenon

The buckling analysis of cracked functionally graded material (FGM) plates resting on an elastic foundation taking into account the effect of the delamination of the elastic foundation is presented in this paper. The plate kinematics are based on the high-order shear deformation theory, the buckling of this cracked plate is computed by mixing the phase-field theory and finite element method (FEM), and material properties are assumed to vary through the thickness direction by a power-law distribution. The cracked FGM plate rests on the two-parameter elastic foundation, in which, the delamination areas are rectangular and circular. The accuracy of the present approach is proved by the comparison with published results. This paper also studies the effect of some parameters on the mechanic buckling behavior of the plate. The numerical results reveal that the delamination area and the crack length have a strong effect on the buckling loads as well as the buckling mode shapes of this plate. © 2021 Elsevier Ltd