Buckling of Plates: Post-Buckling Deformation Behavior Investigation

This lecture covers the post-buckling deformation behavior of a square plate with in-plane stretching energy consideration. It delves into the derivation of the bending energy and curvature tensor, as well as the stretching energy using the strain tensor. The lecture also explores the conditions for in-plane displacements in a simply supported plate and the derivation of the total energy. Various problems related to shear buckling and potential energy due to bending are discussed, along with the simplifications in pre-buckling behavior. The solutions for shear force causing buckling and the potential energy due to bending are analyzed, providing insights into the behavior of plates under different loading conditions.