TY - JOUR

T1 - On chemical reaction planar fronts in an elastic–viscoelastic mechanical framework

AU - Petrenko, Svetlana

AU - Freidin, Alexander B.

AU - Charkaluk, Eric

N1 - Petrenko, S., Freidin, A.B. & Charkaluk, E. On chemical reaction planar fronts in an elastic–viscoelastic mechanical framework. Continuum Mech. Thermodyn. (2021). https://doi.org/10.1007/s00161-021-01051-x

PY - 2021/9/4

Y1 - 2021/9/4

N2 - 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.

AB - 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.

KW - механохимия, тензор химического сродства, кинетика фронта реакции, ррелаксация напряжений, вякоупругость

KW - Chemical affinity tensor

KW - Mechanochemistry

KW - Reaction front kinetics

KW - Standard linear solid model

KW - Stress relaxation

KW - LITHIATION REACTION

KW - SILICON

KW - THERMAL-OXIDATION

KW - AFFINITY TENSOR

KW - SOLIDS

KW - DIFFUSION

KW - STRESS

KW - PROPAGATION

UR - http://www.scopus.com/inward/record.url?scp=85116025799&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/8ad3e8e5-f5ca-3cd7-9e7b-d1376820549c/

U2 - 10.1007/s00161-021-01051-x

DO - 10.1007/s00161-021-01051-x

M3 - Article

AN - SCOPUS:85116025799

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

SN - 0935-1175

ER -