Linear elasticity

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Related lectures (32)

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Introduction to Structural Mechanics

Introduces the basics of structural mechanics, covering static forces, stress, strain, and historical contributions.

Stress and Deformation: Understanding Material Behavior

Explores stress, strain, elasticity, plasticity, and material behavior, emphasizing the importance of dislocations and microstructure.

Linear Elasticity: Cylindrically-symmetric Problems

Covers linear elasticity, focusing on cylindrically-symmetric problems and the simplification of Hooke's Law for axially-symmetric cases.

Mechanics of Slender Structures: Elasticity & Buckling

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

Macromechanics of Orthotropic Composites

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

Linear Elasticity: Equations of Linear Elasticity

Covers the equations of linear elasticity for static problems with small strain, emphasizing uniqueness of solutions and Navier's Equations.

Harmonic Oscillator and Hooke's Law

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

Plates II: Föppl-von Kármán Equations

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Anisotropic Elastic Materials

Covers anisotropic elastic materials, examples, and Voigt notation for stress and strain components, emphasizing the compliance matrix for isotropic materials.

Linear Statics of Deformable Solids

Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.