Lectures related to Linear Elasticity: Cylindrically-symmetric Problems

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.

Linear Elasticity: Basics and Material Functions

Introduces the basics of linear elasticity, material functions, and stress-strain relationships in isotropic materials.

Linear Elasticity: Spherically-Symmetric Problems

Explores linear elasticity in spherically-symmetric problems and axially-symmetric cylindrical shells.

Structural Mechanics: Beam Bending and Boundary Conditions

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

Finite Element Analysis: Advanced Mechanisms in Engineering

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Linear Elasticity: Channel Die Compression with Friction

Explores linear elasticity in confined compression with friction and stress distributions.

Laminate Analysis: Introduction

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

Hyperelasticity: Inflation of a Balloon

Explores hyperelasticity through the inflation of a balloon, discussing force balance, material behavior, and boundary conditions.

Anisotropic Elasticity: Examples

Covers anisotropic elasticity with examples of materials having varying properties in different directions.

Boundary Value Problems in Elasticity

Explores Boundary Value Problems in Elasticity, stress-strain relations, and the use of Green's function in solving elasticity problems.

Elasticity: Hooke's Law

Covers Hooke's Law in elasticity, discussing stiffness and compliance tensors.

Anisotropic Elastic Materials

Covers anisotropic elastic materials, examples, and Voigt notation for stress and strain components, emphasizing the compliance matrix for isotropic materials.

Linear Elasticity: 3D

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

Solid Mechanics II + Material Models

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

Stress, Strain, Equilibrium: Elasticity

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

3D Linear Elasticity & Beams

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

Linear Elasticity in 3D: Beam Bending

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

Solid Mechanics Principles: Greens Functions

Explores Greens functions in solid mechanics, emphasizing the solution of point forces and their impact on displacement fields.

Linear Elasticity: Basics and Hooke's Law

Explores linear elasticity, Hooke's Law, isotropic materials, and thermal expansion effects.

Elasticity Basics: Vibrational Modes Description

Covers the theory of elasticity to describe vibrational modes of mechanical resonators.