Plates I: Deformation, Strain, Stress, Wrinkling

This lecture covers the deformation, strain, and stress in plates under pure bending, as well as the total strain energy related to in-plane stretching and out-of-plane bending energy, with a practical application in wrinkling. It also discusses the bending stiffness of a plate, specific notation for plates, and assumptions made for slender plates. The lecture delves into the consequences of these assumptions on strain tensors and the bending energy of a plate. It further explores the bending of a plate in one direction, the bending energy, and the end-to-end shortening due to compression. Wrinkling, buckling, and the transition between narrow plate and wide beam limits are also addressed.