Lectures related to Elastic Inclusions

Eshelby Inclusion Mechanics

Explores the Eshelby method for ellipsoidal inclusions and the mechanics of particles undergoing shape changes due to eigenstrains.

Eshelby Inclusion: Mechanics and Eigenstrains

Explores the Eshelby method for mechanics of inclusions and eigenstrains, focusing on stress and strain fields inside inclusions.

3D Linear Elasticity & Beams

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

Eshelby Inclusion: Mechanics and Elastic Energy

Explores the Eshelby method for inclusion mechanics and elastic energy storage.

Solid Mechanics Principles: Eigenstrains

Covers eigenstrains, deformations in a body not caused by stress, and their significance in mechanics.

Laminate Analysis: Introduction

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

Structural Mechanics: Beam Bending and Boundary Conditions

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

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.

Classical Laminate Theory

Covers Classical Laminate Theory for solving mechanics problems with multiple material layers, discussing displacements, strains, stresses, and equilibrium.

Linear Elasticity (3D)

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

Deformation and Strain Tensors

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

Mechanics of Slender Structures: Final Review and Overview

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

Stiffness vs Strength: Deformation and Load

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

Introduction to Structural Mechanics: Stress and Strain

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

Linear Elasticity in 3D: Beam Bending

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

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.

Solid Mechanics Principles: Greens Functions

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

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.

3D Linear Elasticity & Beams

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