Lecture
Shells I
Related lectures (363)
Shells I: Mechanics of Slender Structure
Covers thin pressure vessels, differential geometry of surfaces, and plate buckling theories.
Differential Geometry of Surfaces
Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Shells I: Mechanics of Slender Structures
Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.
Linear Shell Theory: Equilibrium and Energy
Covers the expression of the Kirchhoff-Saint Venant energy in a covariant setting and explores equilibrium equations for spherical shells and linear shell theory.
Differential Geometry of Surfaces
Covers the fundamentals of differential geometry of surfaces, including the equilibrium of shells, pressure vessels, and the curvature of surfaces.
Linear Shell Theory: Equilibrium Equations
Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.
Linear Momentum Conservation and Stress in Continuum
Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.
Mechanics of Slender Structures: Final Review and Overview
Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.
Hyperbolic Geometry
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Harmonic Forms and Riemann Surfaces
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.