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Nonlinear Beam Theory: Mechanics of Slender Structure

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

Stiffness vs Strength: Deformation and Load

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

Frenet-Serret Formulas: Curvature and Torsion

Explores the Frenet-Serret formulas for curvature and torsion in three-dimensional space.

Linear Elasticity: Equations of Linear Elasticity

Covers the equations of linear elasticity for static problems with small strain, emphasizing uniqueness of solutions and Navier's Equations.

Plates: Deformation, Energy, Wrinkling

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

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3D Linear Elasticity & Beams

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

Introduction to Structural Mechanics: Stress and Strain

Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.

Torsion: Deriving Hooke's Law and Solving Torsion Problems

Covers torsional loads, Hooke's law derivation, solving problems, and examples in hollow and composite shafts.

Shells II: Mechanics of Slender Structure

Covers the expression of energy, dimensional reduction, equilibrium equations, and the relationship between covariant and contravariant components in shell mechanics.

Plates I: Deformation, Strain, Stress, and Wrinkling

Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.

Normal Stresses: Internal Stress and Strain

Introduces internal stress and strain, material properties, and design considerations for axial loads and direct shear.

Plates: Pure Bending, Wrinkling, and Plate Buckling

Explores the mechanics of slender structures, focusing on plates in pure bending, wrinkling, and plate buckling.

Stress, Strain, Equilibrium: Elasticity

Explores stress, strain, equilibrium, and elasticity concepts, including Hooke's law and the Strain Tensor.

Nonlinear beam theory

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

Thermal Effects: Hyperstatic Systems

Explores thermal effects on materials, including stress, strain, and hyperstatic problems.

Deformable Bodies: Axial Loading and Stiffness

Explores axial loading, stress, strain, and equilibrium states in deformable bodies, emphasizing stability and equilibrium types.

Deformation and Strain Tensors

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Linear Elasticity: 3D

Covers linearity between stress and strain in 3D and isotropic linear elasticity equations.