Lectures related to Strain energy density function

Hyperelasticity: Models for Hyperelastic Materials

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

Linear Shell Theory: Equilibrium and Energy

Covers the expression of the Kirchhoff-Saint Venant energy in a covariant setting and explores equilibrium equations for spherical shells and linear shell theory.

Hyperelasticity: More Examples

Explores hyperelasticity through examples, focusing on the 'Channel Die Compression' problem and the behavior of Neo-Hookean materials.

Hyperelasticity: Basic Theory and Applications

Covers hyperelasticity basics, including stress-strain response, energy density, and isotropic materials.

Macromechanics of Orthotropic Composites

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

Solid Mechanics II + Material Models

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

Linear Elasticity: 3D

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

Elastic Strain Energy: Castigliano's Theorem

Explores elastic strain energy using Castigliano's theorem for determining vertical displacements in beams and calculating deflections in coil springs.

Elastic Strain Energy and Hyperstatic Systems

Covers elastic strain energy and hyperstatic systems with theoretical aspects and exercise corrections.

Plates I: Deformation, Strain, Stress, and Wrinkling

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

Hyperelasticity: Cavitation

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

Mohr Circle: Stress Analysis

Explains stress analysis using Mohr circles and strain energy concepts.

Energy Equilibrium and Newton CG Method

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

Computational Inverse Design

Explores computational inverse design of deployable structures and geometric computing for materials fabrication and engineering applications.

Solid Mechanics: Hyperelastic Material Modeling

Discusses hyperelastic material modeling in solid mechanics and compares Hook's law with Neo-Hookean models.

Hyperelasticity: Inflation of a Balloon

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

Elastic Strain Energy: Deformation Theorems

Explores elastic strain energy in beams, deformation theorems, and Castigliano's theorem.

Mechanical Scaling: Cantilevers, Stress, and Dynamics

Explores mechanical scaling in micro and nanosystems, focusing on cantilevers, stress, dynamics, and non-linear effects.

Plates III: Buckling Theory and Applications

Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.

Plates: Deformation, Energy, Wrinkling

Covers the deformation of plates in pure bending, total strain energy, and applications like wrinkling.