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Chebyshevskii Sb., 2017, Volume 18, Issue 3, Pages 292–305 (Mi cheb580)  

Diffusion of impurity in material under vibration loads

D. A. Indeytsev, Yu. A. Mochalova

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg

Abstract: 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.

Keywords: continuum mechanics, two-component material model, diffusion, deformation, approximate analytical solutions.

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 31


DOI: https://doi.org/10.22405/2226-8383-2017-18-3-292-305

Full text: PDF file (633 kB)
References: PDF file   HTML file

UDC: 539.3 538.9(09)
Received: 22.05.2017
Revised: 14.09.2017

Citation: D. A. Indeytsev, Yu. A. Mochalova, “Diffusion of impurity in material under vibration loads”, Chebyshevskii Sb., 18:3 (2017), 292–305

Citation in format AMSBIB
\Bibitem{IndMoc17}
\by D.~A.~Indeytsev, Yu.~A.~Mochalova
\paper Diffusion of impurity in material under vibration loads
\jour Chebyshevskii Sb.
\yr 2017
\vol 18
\issue 3
\pages 292--305
\mathnet{http://mi.mathnet.ru/cheb580}
\crossref{https://doi.org/10.22405/2226-8383-2017-18-3-292-305}


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