Estimate of volume changes in the diffusion zone. 1. Isothermal interaction of two semi-infinite media

We obtain an analytic solution to the coupled problem of the diffusion interaction of two media, represented as two semi-infinite solid phase materials. The mathematical model demonstrates that the reason for the appearance of stresses and deformations in the diffusion zone is not only the differing atomic volumes of the materials but also the difference in their partial diffusion coefficients. It is shown that the character and size of the stresses and deformations are determined by the elastic properties and the atomic volumes of the interacting components.