On the absence of Eshelby property for non-ellipsoidal inclusions

is shown that the Eshelby property does not hold for any inclusion bounded by a polynomial surface of higher than the second-degree, or any inclusion bounded by a non-convex surface. Inclusions bounded by segments of two or more different surfaces are also precluded. The absence of the Eshelby property for non-ellipsoidal inclusions is then discussed. © 1998 Elsevier Science Ltd. All rights reserved.