Nonlinear Beam Theory: Mechanics of Slender Structure

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

Covers the mechanics of slender structures, focusing on nonlinear curved beams.

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

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

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

Covers stress-strain relations, constitutive relations, and buckling of a circular ring in nonlinear beam theory.

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

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

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

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