Plates I: Deformation and Energy

Related lectures (32)

Explores the theory of finite strain and rotation in Kirchhoff rods, covering inextensible strains, finite rotations, and equilibrium.

Covers internal equilibrium of solids, stress analysis, beam deformation, and rupture criteria.

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

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

Explores the mechanics of slender structures, focusing on plates in pure bending, wrinkling, and plate buckling.

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.

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

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

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

Covers the theory of nonlinear curved beams, discussing inextensible strains, finite rotations, and the exact inextensionable theory.

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

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

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