Elastic Strain Energy and Hyperstatic Systems

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Hyperelasticity: Basic Theory and Applications

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

Mohr Circle: Stress Analysis

Explains stress analysis using Mohr circles and strain energy concepts.

Plates: Deformation, Energy, Wrinkling

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

3D Linear Elasticity & Beams

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

Shock Waves and Brittle Material Response

Covers shock waves, brittle material response, phase transformation, and Hugoniot relationships in materials under stress.

Constitutive Laws: Elasticity Theory

Explores constitutive laws in elasticity theory, stress-deformation relationship, Hooke's laws, isotropy, and material symmetries.

Hardening Elasto-Plasticity

Covers plastic flow, elastic domain, yield function, hardening rule, and stress-strain relationship in hardening elasto-plasticity models.

Materials Properties and Limiting Behavior

Explores materials properties, failure criteria, stress-strain curves, and fracture strength.

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.

Hardening Elasto-Plasticity

Covers plastic flow, plastic potential, hardening elasto-plasticity, and stress-strain relationship in geomechanics.