The elasticity problem, of a transformed inclusion constrained in an infinite matrix, was solved by considering a dislocation cage made of uniformly stacked dislocation loops. The displacement, strain and stress were found by using Burgers’ equation; directly yielding the Eshelby tensor. The model provided an alternative physical picture and solution of the transformed inclusion problem, and compared directly with transformations that were produced by a dislocation mechanism.

Displacement Field inside a Spherical Dislocation Cage and the Eshelby Tensor. Y.Q.Sun, X.M.Gu, P.M.Hazzledine: Physical Review B, 2002, 65[22], 220103 (4pp)