Lectures related to Plates III: Buckling Theory and Applications

Structural Mechanics: Beam Bending and Boundary Conditions

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

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

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

Gaussian Curvature in Plates

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

Nonlinear Beam Theory: Mechanics of Slender Structure

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

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.

Introduction to Structural Mechanics

Explores beam bending, stiffness, and curvature in mechanical systems using OCR-extracted slides from EPFL's Spring 2021 session.

Plates III: Mechanics of Slender Structure

Covers Föppl-von Kármán equations, Airy potential, plate theory simplifications, and buckling of plates.

Dimensional Analysis & Scaling Laws

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.

Mechanics of Plates: Curvature, Bending, and Stretching Energy

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

Plates II: Föppl-von Kármán Equations

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

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.

Plates I: Deformation, Strain, Stress, and Wrinkling

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

Linear Shell Theory: Equilibrium Equations

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

Plates II: Mechanics of Slender Structures

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

Plates: Deformation, Energy, Wrinkling

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

Mohr Circle: Stress Analysis

Explains stress analysis using Mohr circles and strain energy concepts.

Beam Bending II: Internal Forces, Curvature, and Stiffness

Covers advanced topics in beam bending, stress tensors, elasticity, and Atomic Force Microscopy.

Bending of Straight Beams

Explores bending of beams, strain energy, shear force, and deflection calculations.

Mechanics of Slender Structures: Elasticity & Buckling

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