On Kinetics of Chemical Reaction Fronts in Elastic Solids

  • Elena N. Vilchevskaya
  • Alexander B. Freidin
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 30)


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.


Reaction Front Cylindrical Hole Oxide Layer Thickness Solid Constituent Critical Layer Thickness 
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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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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Institute for Problems in Mechanical EngineeringRussian Academy of Sciences Saint-PetersburgRussia

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