Homogenization with Eshelby: Multiple Inclusions, Effective Moduli

Related lectures (32)

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Explains effective elastic moduli in composite materials and the Eshelby inclusion theory for stress and strain analysis.

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

Explores the Eshelby method for mechanics of inclusions and eigenstrains, focusing on stress and strain fields inside inclusions.

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

Covers stiffness and compliance tensors, Hooke's law, stress-strain relations, and material symmetries.

Covers Hooke's Law in elasticity, discussing stiffness and compliance tensors.

Explores Boundary Value Problems in Elasticity, stress-strain relations, and the use of Green's function in solving elasticity problems.

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

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

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.