The Eshelby property of sliding inclusions

摘要

The present paper solves the problem of sliding ellipsoidal/elliptical inclusion with the Eshelby property. Results show that the sliding ellipsoidal/elliptical inclusions can have uniform eigenstresses if the prescribed uniform eigenstrains fulfill certain prerequisites. Solutions and prerequisites are obtained for ellipsoidal and elliptical inclusions, respectively. It is shown that the eligible uniform eigenstrains inducing uniform eigenstresses can be shear or non-shear eigenstrains, depending on the geometric shape and the material constants of the inclusion. The study indicates that inclusions of degenerated form, like spheroids, spheres and circles, may also maintain uniform eigenstresses. At last, the corresponding discussion for the inhomogeneous sliding inclusion problem with both eigenstrain and remote loading is also given.