Lectures related to Buckling of Plates: Post-Buckling Deformation Analysis

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

Explores the theory of plates, including bending and stretching energies, and the 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.

3D Linear Elasticity & Beams

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

Buckling of Plates: Post-Buckling Deformation Behavior Investigation

Investigates post-buckling deformation behavior, bending energy derivation, and in-plane stretching energy considerations in square plates.

Plates II: Mechanics of Slender Structures

Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.

Deformation and Strain Tensors

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

Mechanics of Plates: Curvature, Bending, and Stretching Energy

Covers the mechanics of plates, focusing on curvature, bending, and stretching energy.

Introduction to Structural Mechanics

Covers the fundamentals of structural mechanics, focusing on beams, sign conventions, types of beams, and methods to calculate stress resultants.

Buckling of Plates in Mechanics of Slender Structures

Covers critical force, post-buckling behavior, bending energy, strain tensor, stretching energy, and shear buckling.

Plates III: Buckling Theory and Applications

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

Linear Elasticity (3D)

Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.

Continuum Mechanics: Forces and Deformation

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

Mechanics of Slender Structures: Elasticity & Buckling

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

Linear Shell Theory: Equilibrium Equations

Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.

Nonlinear Beam Theory: Mechanics of Slender Structure

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

Linear Elasticity in 3D: Beam Bending

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

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.

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.