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Related lectures (32)

Buckling of Plates: Post-Buckling Deformation Analysis

Investigates post-buckling deformation of plates, deriving bending and stretching energies.

Basics of Modern Cosmology - 2

Explores luminosity distance, the Einstein field equation, Stephen Hawking's contributions, and the cosmological principle, among other cosmological concepts.

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 Equations

Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.

Differential Geometry of Surfaces

Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.

Buckling of Plates in Mechanics of Slender Structures

Covers critical force, post-buckling behavior, bending energy, strain tensor, stretching energy, and shear buckling.

Gaussian Curvature in Plates

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Cylinders: Pressure and Geometry

Explores cylindrical pressure vessels, surfaces parametrization, and geometrical properties computation.

Stereographic Projection and Metric Tensors

Explores stereographic projection and metric tensors on hyperbolic planes, emphasizing isometry and conforming models.

Second Fundamental Tensor

Explores the second fundamental tensor and its role in calculating normal curvature on surfaces.

Plates III: Mechanics of Slender Structures

Covers the equations of plates, bending and stretching energy, von Karman equations, and buckling of plates.

Plates II: Föppl-von Kármán Equations

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

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