Diffusion of impurity in material under vibration loads

Within the framework of the continuum mechanics, the authors develop a two-component impurity-containing model and investigate the mutual influence of impurity diffusion and the basic structure strains. They derive the equation of impurity motion — the generalized diffusion equation, which allows them to take into account not only impurity transport due to the basic structure motion, but also the effect of strain on the diffusion coefficient. The paper considers modeling problems that qualitatively describe two most important phenomena that are observed experimentally under vibration on materials with an admixture, localization of the impurity concentration, and the drop in the generalized rigidity of the sample. In both problems, approximate analytical solutions are obtained that are in good agreement with earlier numerical studies and experimental data.