Acta Mechanica

, Volume 227, Issue 1, pp 43–56 | Cite as

Chemical reactions in spherically symmetric problems of mechanochemistry

  • A. Freidin
  • N. Morozov
  • S. Petrenko
  • E. VilchevskayaEmail author
Original Paper


A stress-assisted chemical reaction front propagation in a linear elastic solid is considered. The reaction between gas and solid constituents is sustained by the diffusion of the gas through the transformed material. The consideration is based on the kinetic equation in a form of the dependence of the reaction front velocity on the normal component of the chemical affinity tensor that in turn depends on stresses and gas concentration. Spherically symmetric problems of mechanochemistry are solved for the reaction front propagation in a sphere, in a body with a spherical hole and in an inclusion placed into an infinite medium. It is demonstrated how stresses can enhance, retard and even lock the reaction. The effects of the sign and value of the reaction front curvature are also examined.


Equilibrium Concentration Reaction Front Ceramic Matrix Composite Symmetric Problem Solid Constituent 
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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Copyright information

© Springer-Verlag Wien 2015

Authors and Affiliations

  • A. Freidin
    • 1
    • 2
    • 3
  • N. Morozov
    • 2
  • S. Petrenko
    • 2
  • E. Vilchevskaya
    • 1
    • 3
    Email author
  1. 1.Institute for Problems in Mechanical Engineering of Russian Academy of SciencesSt. PetersburgRussia
  2. 2.St. Petersburg State UniversitySt. PetersburgRussia
  3. 3.St. Petersburg Polytechnic UniversitySt. PetersburgRussia

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