Lectures related to Boundary Value Problems in Elasticity: Superposition, Work-Energy

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.

Structural Mechanics: Beam Bending and Boundary Conditions

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

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.

Elasticity: Constitutive Modelling in Geomechanics

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

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 II + Material Models

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

Mohr Circle: Stress Analysis

Explains stress analysis using Mohr circles and strain energy concepts.

Linear Elasticity: Basics and Hooke's Law

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

Linear Elasticity: Cylindrically-symmetric Problems

Covers linear elasticity, focusing on cylindrically-symmetric problems and the simplification of Hooke's Law for axially-symmetric cases.

Mechanics of Slender Structures: Elasticity & Buckling

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

Elasticity: Hooke's Law

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

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.

Elasticity Basics: Vibrational Modes Description

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

Plasticity: Work Hardening and Plastic Strain Evolution

Explores the evolution of hardening and plastic strain in materials, emphasizing the relationship between stress increments and plastic strains.

Eshelby 3: Modulus Mismatch

Covers modulus mismatch in elastic inhomogeneities, Eshelby's solution, and the implications of using Green's function.

Mechanics of Slender Structures: Final Review and Overview

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

Finite Element Method: Linear Statics

Explores the Finite Element Method applied to linear statics of deformable solids.

Macromechanics of Orthotropic Composites

Explores the behavior of orthotropic composites under plane stresses and the elasticity of anisotropic materials.

Ellipsoidal Void Stress Concentrations

Explores stress concentrations on ellipsoidal void surfaces and the impact of inclusion on stress distribution.