Plates II: Föppl-von Kármán Equations

Related lectures (32)

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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.

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

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

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

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

Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.

Covers the deformation of plates in pure bending, total strain energy, and applications like wrinkling.

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