Shells ICovers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.
Elasticity and Beam BendingExplores linear elasticity, stress-strain relationships, and beam bending kinematics with a focus on stress tensors and internal forces.
Linear Elasticity: 3DCovers linearity between stress and strain in 3D and isotropic linear elasticity equations.
Linear Elasticity (3D)Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.
Differential Geometry of SurfacesCovers the fundamentals of differential geometry of surfaces, including the equilibrium of shells, pressure vessels, and the curvature of surfaces.
Hyperbolic GeometryIntroduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
