Plates II: Mechanics of Slender Structures

Related lectures (32)

Page 1 of 4

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

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

Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Covers the mechanics of plates, focusing on curvature, bending, and stretching energy.

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.