Eshelby Inclusion: Mechanics and Elastic Energy

This lecture covers the Eshelby method for inclusion mechanics, focusing on the generation of strains and stress fields inside and outside ellipsoidal inclusions. The instructor explains how shear transformations do not create extensional strains and demonstrates the analytical solution for elastic energy stored in the inclusion. The lecture also delves into the deviatoric field outside the inclusion and the constraints on expansion. Various examples and calculations are provided to illustrate the concepts discussed.