Solid Mechanics Principles: Greens Functions

Related lectures (32)

Explores kinematics of deformation, focusing on radial and linear expansion, torsion, and rotation by an angle.

Explains principal stresses, spectral decomposition, simple states of stress, and the importance of a symmetric stress tensor.

Covers the Classical Laminate Theory for analyzing stresses in composite laminates.

Explores small strain theory, kinematics, and compatibility conditions in solid mechanics.

Explores linear elasticity in spherically-symmetric problems and axially-symmetric cylindrical shells.

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

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

Introduces the basics of linear elasticity, material functions, and stress-strain relationships in isotropic materials.

Covers the derivation of exact results for small strains in composite materials and the implications of experimental data outside these limits.

Explores Greens functions, superposition, and displacement fields in solid mechanics.

Explores the Eshelby method for ellipsoidal inclusions and the mechanics of particles undergoing shape changes due to eigenstrains.

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

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