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Surface Effects in Solid Mechanics pp 181–194Cite as

On Kinetics of Chemical Reaction Fronts in Elastic Solids

Part of the Advanced Structured Materials book series (STRUCTMAT,volume 30)

Abstract

A chemical reaction front where an oxidation reaction is localized is considered as an internal surface dividing two solid deformable constituents. The reaction is sustained and controlled by the diffusion of the gas constituent through the oxide layer. The transformation strains produced by the chemical reaction lead to internal stresses which in turn affect the chemical reactions front kinetics. Analitical solution of axially-symmetric mechano-chemistry problems in a case of small strain approach are obtained. We examine how stress state affects the reaction front kinetics and demonstrate reaction locking effects due to internal stresses. We also study how the reaction rate depends on the chemical reaction front curvature.

Keywords

  • Reaction Front
  • Cylindrical Hole
  • Oxide Layer Thickness
  • Solid Constituent
  • Critical Layer Thickness

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Acknowledgments

This work was supported by Russian Foundation for Basic Research (Grant 10-01-00670), Sandia National Laboratories and RAS Programs for Fundamental Research.

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Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, V.O. Bolshoy pr. 61, Saint-Petersburg, 199178, Russia

    Elena N. Vilchevskaya & Alexander B. Freidin

Authors
  1. Elena N. Vilchevskaya
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  2. Alexander B. Freidin
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Corresponding author

Correspondence to Elena N. Vilchevskaya .

Editor information

Editors and Affiliations

  1. , Lehrstuhl für Technische Mechanik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, Magdeburg, 39106, Germany

    Holm Altenbach

  2. St. Petersburg State University, Bibliotechnaya sq. 2, St. Petersburg, 198904, Russia

    Nikita F Morozov

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Vilchevskaya, E.N., Freidin, A.B. (2013). On Kinetics of Chemical Reaction Fronts in Elastic Solids. In: Altenbach, H., Morozov, N. (eds) Surface Effects in Solid Mechanics. Advanced Structured Materials, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35783-1_14

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