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Chemical Affinity Tensor and Stress-Assist Chemical Reactions Front Propagation in Solids

[+] Author Affiliations
Alexander B. Freidin

Russian Academy of Sciences, St. Petersburg, RussiaSaint-Petersburg State University, St. Petersburg, RussiaSaint-Petersburg State Polytechnical University, St. Petersburg, Russia

Paper No. IMECE2013-64957, pp. V009T10A102; 10 pages
  • ASME 2013 International Mechanical Engineering Congress and Exposition
  • Volume 9: Mechanics of Solids, Structures and Fluids
  • San Diego, California, USA, November 15–21, 2013
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5638-3
  • Copyright © 2013 by ASME


We consider a stress-assist chemical reaction front propagation in a deformable solid undergoing a localized chemical reaction between solid and gas constituents. The reaction is sustained by the diffusion of the gas constituent through the transformed solid material. We introduce a chemical transformations strain tensor that relates two reference configurations of solid constituents. Then mass, momentum and energy balances are written down for the open system considered and the expression of the entropy production due to the reaction front propagation in a solid with arbitrary constitutive equations is derived. As a result, the expression of the chemical affinity tensor is obtained. Kinetic equation for the chemical reactions front propagation is formulated in a form of the dependence of the front velocity on normal components of the chemical affinity tensor. The locking effect — blocking the reaction by stresses is demonstrated. Finally the kinetic equation for the bulk chemical reaction is derived in a form of the dependence of the reaction rate on the first invariant of the chemical affinity tensor.

Copyright © 2013 by ASME
Topics: Solids , Stress , Tensors



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