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Elastic Inclusions
This lecture covers the mechanics of elastic inclusions, focusing on the Eshelby method and the behavior of strain and stress fields inside and outside spherical and ellipsoidal inclusions. The instructor explains the concept of elastic energy stored in the body due to inclusion transformation strain, the Eshelby tensor, and the analytical solutions for strain fields. The lecture also delves into the deviatoric fields, the absence of shear strains in certain transformations, and the constraints on expansion. Various examples and mathematical derivations are provided to illustrate the theoretical concepts.