On the Problem of Diffusion in Materials Under Vibrations

  • Dmitry A. IndeitsevEmail author
  • Yulia A. Mochalova
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 46)


We present a closed set of coupled equations of impurity transport during deformation of solids following from the general laws of continuum mechanics. Within a two-component continuum model, we derived the generalized diffusion equation. As an application, the phenomenon of impurity localization is considered in a rod under vibrations. The obtained numerical and analytical results are compared with experiments on the investigation of impurity redistribution during the deformation of samples.


Diffusion Vibrations Two-component model Elastic media Analytic solution 


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute for Problems in Mechanical Engineering RASSt. PetersburgRussia

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