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We derive the evolution equation for a sharp concentric interface in a two-phase elastic solid of spherical shape. The solid is immersed in a reservoir of interstitial species whose diffusion triggers phase transformation. We find that mismatch strain accelerates phase–transformation processes that initiate at the center of the specimen, and slows down those that begin at the boundary.
A theoretical framework for the description of the interaction between diffusion, mechanics, and degradation in elastic solids is developed. To avoid complications that obscure the essential features of these interactions, we work within a one-dimensional setting. A particular specialization of the general theory is selected and a numerical implementation based on the finite-element method, a backward...
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