Plates: Deformation, Energy, Wrinkling

This lecture covers the deformation of plates in pure bending, the total strain energy involving in-plane stretching and out-of-plane bending, and applications such as wrinkling. It explores the bending stiffness of plates, dimensional reduction from 3D elasticity to plates, and the displacement field and strain tensor of plates. The lecture delves into the Kirchhoff's equations, the specific notation for plates, and assumptions made for thin plates. It also discusses the consequences of these assumptions, the stress tensor, and the total displacement field. The lecture concludes with the bending energy of a plate in pure bending, the bending stiffness, and the stretching energy of plates.