Lectures related to Hyperelasticity: More Examples

Explores harmonic oscillators, Hooke's Law, and elasticity in relation to force and spring elongation.

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

Introduces key concepts in structural mechanics, such as determinate and indeterminate systems, linear superposition, and stress-strain relationships.

Structural Mechanics Principles: Equilibrium and Stability

Explores the principles of structural mechanics, including internal loads, equilibrium stability, and the superposition principle.

Introduction to Structural Mechanics: Stress and Strain

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

Structures and Mechanisms: Static (Rigid) Structures

Covers the analysis of static (rigid) structures, including equilibrium and free-body diagrams.

Deformable Structures I

Introduces the analysis of deformable structures, focusing on equilibrium, stress, and strain in axial loading and stiffness.

Structural Mechanics: Beam Bending and Boundary Conditions

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

Hyperelasticity: Recap and Application

Covers the stress-stretch relationship in hyperelasticity, incompressible materials, and solving boundary value problems, with an application in customizing sports shoe stiffness.

Equilibrium in 2D: System Isolation and Free-Body Diagrams

Explains equilibrium in 2D, system isolation, joints, supports, and free-body diagrams with practical examples and idealized contacts.

3D Linear Elasticity & Beams

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

Energy Equilibrium and Newton CG Method

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

Hyperelasticity: Models for Hyperelastic Materials

Explores hyperelasticity, constitutive models, incompressibility, and stiffness response in isotropic materials.

Hyperelasticity: Cavitation

Covers the expansion of a spherical void under external pressure and its implications.

Plates I: Deformation, Strain, Stress, and Wrinkling

Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.

Solid Mechanics II + Material Models

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

Generalized Hooke Law: Deformation and Stiffness Matrices

Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.

Mechanics of Slender Structures: Elasticity & Buckling

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

Forces and Equilibrium

Explains contact forces and equilibrium of objects under applied forces.

Stress, Strain, Equilibrium: Elasticity

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