Buckling load and post-buckling solution for mode shape of delaminated beam

This paper presents elastic buckling and post-buckling analysis of an axially loaded isotropic beam-plate with\ud an across-the- width delamination located at a given depth, subjected to in-plane compression. A simple analytical model for determining the global buckling load of the plate with delamination and the mode shape is developed, for various delamination depths and lengths. The influence of applied load on the displacement for a given crack length and depth is studied in the post-buckling state where the non-linear large rotations are included. It is observed that the global buckling load for local delamination buckling increases with the increase in delamination depth from the upper surface, for a given delamination length, and the buckling load decreases if delamination length increases for a given delamination depth. In the post buckling analysis the displacement increases as the applied load increases