Nonlinear Curved Beams

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

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

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

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

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.

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

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

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

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