The study of inclusions is of significance to the development of advanced materials for
aerospace, marine, automotive and many other applications. This is because the presence …

One of the most cited papers in Applied Mechanics is the work of Eshelby from 1957 who
showed that a homogeneous isotropic ellipsoidal inhomogeneity embedded in an …

The problem of two non-elliptical inclusions with internal uniform fields embedded in an
infinite matrix, subjected at infinity to a uniform stress field, is discussed in detail by means of …

Multiple elastic inclusions with uniform internal stress fields in an infinite elastic matrix are
constructed under given uniform remote in-plane loadings. The method is based on the …

The Eshelby-type problem of an arbitrary-shape polyhedral inclusion embedded in an
infinite homogeneous isotropic elastic material is analytically solved using a simplified strain …

This paper constructs multiple elastic inclusions with prescribed uniform internal strain fields
embedded in an infinite matrix under given uniform remote anti-plane shear. The method …

The Eshelby formalism for an inclusion in a solid is of significant theoretical and practical
implications in mechanics and other fields of heterogeneous media. Eshelby's finding that a …

Eshelby's inclusion problem is solved for non-elliptical inclusions in the context of two-
dimensional thermal conduction and for cylindrical inclusions of non-elliptical cross section …

We derive a representation formula for the topological gradient with respect to arbitrary
quadratic yield functionals and anisotropic elastic materials, thus laying the theoretical …

The pioneering work by John D. Eshelby in the 1950s and the 1960s on the theory of
materials with defects has opened the doors to what today we call configurational …