Lectures related to Mechanics of Slender Structures: Final Review and Overview

Structural Mechanics: Beam Bending and Boundary Conditions

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

Mechanics of Slender Structures: Elasticity & Buckling

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

3D Linear Elasticity & Beams

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

3D Linear Elasticity & Beams

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

Mechanics of Slender Structures: Elasticity, Plates, Shells

Covers the dimensional reduction in slender structures, constitutive laws, and mechanics of plates and shells.

Linear Elasticity in 3D: Beam Bending

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

Review: 3D Linear Elasticity & Beams

Covers the review of 3D Linear Elasticity and beams, focusing on mechanics of slender structures.

Solid Mechanics II + Material Models

Explores material models for elastic objects, including inverse shape optimization and hyperelasticity.

Plates II: Föppl-von Kármán Equations

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

Beam Bending II: Internal Forces, Curvature, and Stiffness

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

Elasticity: Constitutive Modelling in Geomechanics

Explores constitutive modelling in geomechanics, focusing on stress-strain behavior and the application of elastic models in analytical and numerical methods.

Introduction to Structural Mechanics

Introduces the basics of structural mechanics, covering static forces, stress, strain, and historical contributions.

Continuum Mechanics: Forces and Deformation

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

Laminate Analysis: Introduction

Introduces the theory behind laminates and their applications in different industries.

Theory of Elasticity

Explores the theory of elasticity, including Hooke's law, strain tensors, stress tensor, and thermodynamics of deformation.

Mechanics of Slender Structures: Dimensional Analysis and Scalings

Explores the use of dimensional analysis and scalings in understanding slender structural systems.

Dimensional Analysis & Scaling Laws

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

Elasticity: Constitutive Modelling in Geomechanics

Explores constitutive equations in geomechanics, stress-strain behavior, and practical applications in engineering.

Deformation and Strain Tensors

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

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.