Reissner plate theory-based study of circular and annular delamination buckling of a film on a substrate

Based on Reissner plate theory, a novel model is proposed to analyze the buckling behavior of a circular or annular delaminated thin film on an elastic substrate. Elastic deformation in the substrate is calculated by using three coupled-line-springs distributed along the edge of the delaminated film. The shooting method is used to solve the nonlinear post-buckling problem. The energy release rate and phase angle are obtained. The results demonstrate that if the aspect ratio of delamination size to film thickness is not large enough, the Reissner plate theory should be used to have more accurate solutions.