Mechanics of Kirchhoff Rods I

This lecture covers the differential geometry of surfaces in 3D, the Frénet-Serret frame, the Cosserat frame, the Darboux Vector, and Kirchhoff's equilibrium equations of rods. It delves into the mechanics of slender structures, focusing on the theory of finite strain and finite rotation, inextensible strains, small strains, and moderate rotations, as well as the deployment of pipelines and cables onto the seabed.