Lectures related to Finite Element Modeling Methodology

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

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

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.

Energy Equilibrium and Newton CG Method

Covers continuum mechanics, linear elasticity, force balance, divergence, finite element discretization, energy minimization, and Newton's method.

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.

Structural Mechanics: Beam Bending and Boundary Conditions

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

Linear Elasticity: Cylindrically-symmetric Problems

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

Linear Elasticity: Channel Die Compression with Friction

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

Solid Mechanics II + Material Models

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

Rectangular Foundation - Vertical Induced Stress - Elastic Superposition

Covers the linear elasticity of rectangular foundations and the concept of elastic superposition.

Elasticity: Constitutive Modelling in Geomechanics

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

Linear Elasticity: 3D

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

Macromechanics of Orthotropic Composites

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

Finite Elements: Elasticity and Variational Formulation

Explores finite element methods for elasticity problems and variational formulations, emphasizing admissible deformations and numerical implementations.

Mechanics of Slender Structures: Elasticity & Buckling

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

Linear Elasticity in 3D: Beam Bending

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

Introduction to Structural Mechanics

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

Deformation Course: Part 3

Explores stiffness, types of bonds, glass transition, and elasticity in materials under stress.

Mechanics of Slender Structures: Elasticity, Plates, Shells

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

Linear Elasticity and Atomic Structure

Explores linear elasticity properties of materials and their atomic structure, covering stresses, strains, rigidity, and loading cases.