Plates: Pure Bending, Wrinkling, and Plate Buckling

This lecture covers the mechanics of slender structures, focusing on plates in pure bending, deformation, total strain energy, wrinkling, in-plane stretching energy, and out-of-plane bending energy. The lecture also discusses plate theory, Von Kármán equations, nonlinear plate theory, and plate buckling. Various examples are provided, such as the Millau Viaduct in France and the work of Nobel Prize winners Andre Geim and Kostya Novoselov. The lecture delves into the displacement field, strain tensor, constitutive law, and specific notation for plates. It also explores the assumptions and energy considerations for plates under different bending conditions.