Mechanics of Plates: Curvature, Bending, and Stretching Energy

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

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

Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.

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

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

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