On chemical reaction planar fronts in an elastic–viscoelastic mechanical framework

• Published in: Continuum mechanics and thermodynamics Vol. 34; no. 1; pp. 137 - 163
• Main Authors: Petrenko, Svetlana, Freidin, Alexander B., Charkaluk, Eric
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-01-2022; Springer; Springer Nature B.V; Springer Verlag
• Subjects: Acceleration; Affinity; Chemical reactions; Classical and Continuum Physics; Constituents; Engineering Thermodynamics; Exact solutions; Front velocity; Heat and Mass Transfer; Mathematical models; Original Article; Parameters; Physics; Physics and Astronomy; Plane strain; Reaction products; Strain; Stress concentration; Stress propagation; Stress relaxation; Structural Materials; Tensors; Theoretical and Applied Mechanics; Viscoelasticity; Stress relaxation; Reaction front kinetics; Standard linear solid model; Chemical affinity tensor; Mechanochemistry; Mechanochemistry Chemical affinity tensor Reaction front kinetics Stress relaxation Standard linear solid model
• ISSN: 0935-1175; 1432-0959
• DOI: 10.1007/s00161-021-01051-x

A stress-affected chemical reaction front propagation is considered using the concept of a chemical affinity tensor. A reaction between an elastic solid constituent and a diffusing constituent, localized at the reaction front, is considered. As a result of the reaction, the elastic constituent transforms into viscoelastic one. The reaction is accompanied by volume expansion that in turn may result in stresses at the reaction front, which affect the front velocity through the normal component of the chemical affinity tensor. Considering a plane strain problem with a planar chemical reaction front propagation under uniaxial deformation, we focus on the studies of the reaction front kinetics in dependence on external strains and material parameters with the use of the notion of the equilibrium concentration. Then, stress relaxation behind the propagating reaction front is modeled. A standard linear solid model is used for the reaction product, and its particular cases are also considered. Analytical solutions are obtained which allow to study in explicit form the strain influence and material parameters on the front retardation or acceleration and stress relaxation.