Abstract
The kinetics of relaxation by interface diffusion around spheroidal inclusions is discussed using the Eshelby method for ellipsodal inclusions and a free energy approach. The relaxation time for the process is derived in the case where the direction of an applied uniaxial stress is parallel to the rotation axis of symmetry of the speroid. The aspect-ratio dependence of the relaxanion time is derived. For prolate inclusions with large aspect ratios, the relaxation time increases proportionally to the aspect ratio. On the other hand, for oblate inclusions with small aspect ratios, the relaxation time becines constant as the aspect ratio approaches zero. The constant value of the relaxation time depends on the elastic moduli of the inclusion but independent of the elastic moduli of the matrix. The hydrostatic stress in the inclusion after the relaxation and its aspect-ratio dependence are also discussed. Although the relaxation time for a rod-like inclusion is longer compared with that for a disk-like inclusion, the relaxed stress in the former is much smaller than that in the latter.
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