Plates I: Deformation, Strain, Stress, and Wrinkling

This lecture covers the deformation, strain, and stress in plates under pure bending, as well as the total strain energy involving in-plane stretching and out-of-plane bending energy. It also explores the application of wrinkling in plates, with examples ranging from the Millau Viaduct in France to solar sails. The lecture delves into the bending stiffness of plates, starting from 3D elasticity and dimensional reduction to 2D. It discusses the constitutive law, displacement field, and specific notation for plates, emphasizing isotropic, homogeneous, and linearly elastic materials. The lecture concludes with the consequences of assumptions and the total displacement field in plates.