Lectures related to Plates I: Deformation, Strain, Stress, and Wrinkling

Plates: Deformation, Energy, Wrinkling

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

3D Linear Elasticity & Beams

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

Plates: Pure Bending, Wrinkling, and Plate Buckling

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

Structural Mechanics: Beam Bending and Boundary Conditions

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

Nonlinear Beam Theory: Mechanics of Slender Structure

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

Introduction to Structural Mechanics

Covers the basics of structural mechanics, including static forces, stress, strain, and structural elements like bars, cables, trusses, and beams.

Linear Elasticity: 3D

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

Mechanics of Slender Structures: Elasticity & Buckling

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Gaussian Curvature in Plates

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

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.

Deformation and Strain Tensors

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

Plates I: Deformation and Energy

Covers the deformation of plates in pure bending, total strain energy, and wrinkling phenomena, exploring applications and implications of substrate stiffness on wrinkling.

Nonlinear beam theory

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

Linear Elasticity in 3D: Beam Bending

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

Plates II: Föppl-von Kármán Equations

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

Plates III: Buckling Theory and Applications

Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.

Stiffness vs Strength: Deformation and Load

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

Stress and Strain: Real vs Nominal

Explores real and nominal strain rates, stress, deformation, and force in materials testing.

Introduction to Structural Mechanics: Stress and Strain

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

Elastic Deformation: Material Properties

Explores material properties, stress, strain, and deformation gradient in elastic deformation.