Transient stress relaxation around spherical inclusions by interfacial diffusion and sliding

Stress relaxation in composites reinforced by hard, spherical inclusions by interfacial diffusion and interfacial sliding are studied separately. Somigliana dislocations are used to model the misfits at the matrix-inclusion interface. By adopting Papkovitch-Neuber displacement potentials, the transient fields of displacement and stress in the system of a single inclusion embedded in an infinite matrix under uniaxial tension are obtained explicitly. The overall anelastic behaviors of the composites are then analyzed on the basis of Mori-Tanaka mean-field approximation. Numerical results are illustrated, and some interesting concerns are discussed.