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Lecture
Nonlinear Beam Theory
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Nonlinear Beam Theory: Mechanics of Slender Structure
Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.
Nonlinear beam theory
Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.
3D Linear Elasticity & Beams
Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Nonlinear Curved Beams
Covers the mechanics of slender structures, focusing on nonlinear curved beams.
Nonlinear Beam Theory: Curved Beams Mechanics
Covers the theory of nonlinear curved beams, discussing inextensible strains, finite rotations, and the exact inextensionable theory.
Plates II: Föppl-von Kármán Equations
Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.
Structural Mechanics: Beam Bending and Boundary Conditions
Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.
Mechanics of Kirchhoff Rods: Finite Strain and Rotation Theory
Explores the theory of finite strain and rotation in Kirchhoff rods, covering inextensible strains, finite rotations, and equilibrium.
Mechanics of Kirchhoff Rods I
Explores the mechanics of slender structures, introducing concepts like finite strain and finite rotation theory.
Introduction to Structural Mechanics: Stress and Strain
Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.