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Strain energy density function
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Deformation of materials
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Related lectures (32)
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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.