Plates II: Föppl-von Kármán Equations

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

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

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.

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

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

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

Covers advanced topics in beam bending, stress tensors, elasticity, and Atomic Force Microscopy.

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