Plates II: Föppl-von Kármán Equations

This lecture delves into the theory of plates, focusing on the framework for the theory of plates, variation of bending and stretching energies, and the Föppl-von Kármán Equations, which are the equations of equilibrium. The slides cover topics such as the assumptions for slender structures under pure bending, the strain tensor, total displacement field, and the curvature tensor. The lecture also discusses the concepts of mean and Gaussian curvature, the determinant of the curvature tensor, and the interpretation of mean and Gaussian curvatures of a surface.