Mechanics of Kirchhoff Rods: Finite Strain and Rotation Theory

This lecture delves into the mechanics of Kirchhoff rods, focusing on the theory of finite strain and rotation. It covers inextensible strains, finite rotations, constitutive equilibrium, and the Cosserat frame. The lecture explores the description of the mechanical deformation of a rod in 3D, emphasizing curvature, torsion, and the Cosserat frame. It also discusses the equilibrium, force balance, and moment balance for a rod, providing insights into the mechanics of slender structures.