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CHEMICAL AFFINITY TENSOR AND STRESS-ASSIST CHEMICAL REACTIONS FRONT PROPAGATION IN SOLIDS

机译:化学亲和力张量和应力辅助化学反应在固体中的前繁殖

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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.
机译:我们考虑在经历固体和气体成分之间的局部化学反应的可变形固体中进行应力辅助化学反应前繁殖。通过通过转化的固体材料的气体组分的扩散来维持反应。我们介绍一种化学转化应变张量,其与固体成分的两个参考配置相关。然后,衍生出质量,动量和能量余额被写入所考虑的开放系统,并且由于具有任意构成方程的固体中的反应前繁殖引起的熵产生的表达。结果,获得化学亲和力张量的表达。化学反应的动力学方程以前速度对化学亲和力张量的正常组分的依赖性的形式配制。证明了锁定效应阻断胁迫反应。最后,散装化学反应的动力学方程以依赖于化学亲和力张量的第一不变的反应速率的形式。

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