Elastic Energy: Implementation and Analysis

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Related lectures (31)

Plates II: Föppl-von Kármán Equations

Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.

Mechanics of Slender Structures: Elasticity & Buckling

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

Continuum Mechanics: Conservation Laws, Tensor Objects, and Fluid Dynamics

Covers conservation laws, tensor objects, and fluid dynamics in Continuum Mechanics.

Mechanics of Continuous Media

Explores stress components placement, strain-stress relationship, energy of deformation, material isotropy, and temperature effects.

Forces and Energy Conservation

Explores forces, energy conservation, and potential energy calculations in various scenarios.

Mechanics of Slender Structures: Final Review and Overview

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

3D Linear Elasticity & Beams

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

Elasticity: Deformation and Strain

Explores stress, strain, equilibrium, and Hooke's law in elasticity.

Elastic Rod Coiling on Substrate

Investigates coiling patterns of thin elastic rods on rigid substrates, emphasizing natural curvature's role in pattern formation.

Internal Equilibrium of Solids

Covers internal equilibrium of solids, stress analysis, beam deformation, and rupture criteria.

Relative Deformation in 3D: Strain Matrix

Explores relative deformation in 3D through strain matrix and displacement gradient, emphasizing constraints, stress-strain relations, and equilibrium equations.

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