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On chemical reaction planar fronts in an elastic–viscoelastic mechanical framework
Continuum Mechanics and Thermodynamics ( IF 2.6 ) Pub Date : 2021-09-29 , DOI: 10.1007/s00161-021-01051-x
Svetlana Petrenko 1 , Eric Charkaluk 1 , Alexander B. Freidin 2
Affiliation  

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.



中文翻译:

弹性-粘弹性力学框架中的化学反应平面前沿

使用化学亲和张量的概念考虑应力影响的化学反应前沿传播。考虑了位于反应前沿的弹性固体成分和扩散成分之间的反应。作为反应的结果,弹性成分转变为粘弹性成分。该反应伴随着体积膨胀,这反过来又可能在反应前沿产生应力,这会影响通过化学亲和张量的法向分量的前沿速度。考虑在单轴变形下具有平面化学反应前沿传播的平面应变问题,我们利用平衡浓度的概念专注于依赖于外部应变和材料参数的反应前沿动力学研究。然后,对传播反应前沿后面的应力松弛进行建模。反应产物采用标准线性实体模型,并考虑了其特殊情况。获得的分析解决方案允许以明确的形式研究应变影响和材料参数对前延迟或加速度和应力松弛的影响。

更新日期:2021-09-29
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