On two kinds of ellipsoidal inhomogeneities in an infinite elastic body: An application to a hybrid composite☆

Abstract The problem of two kinds of ellipsoidal inhomogeneities embedded in an elastic body is formulated with an application to a hybrid (three-phase) composite. The analytical tool used in this study is a combination of Eshelby's equivalent inclusion method[1] and Mori-Tanaka's back stress analysis[2], and therefore the results are valid for large volume fraction of inhomogeneities. As a demonstration, two types of hybrid composites are examined: (i) fiber-fiber; and (ii) fiber-particulate systems.