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

机译:固体中化学亲和力张量和应力辅助化学反应的前传播

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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:我们考虑了应力辅助化学反应前沿在可变形固体中的传播,该固体经历了固体和气体成分之间的局部化学反应。通过气体成分通过转化的固体材料的扩散来维持反应。我们介绍了一种化学转化应变张量,它涉及固体成分的两个参考构型。然后写下所考虑的开放系统的质量,动量和能量平衡,并推导由于反应前沿在具有任意本构方程的固体中传播而产生的熵的表达式。结果,获得了化学亲和力张量的表达。化学反应前沿传播的动力学方程式是根据前沿速度对化学亲和张量的正态分量的依赖关系来表示的。证明了锁定作用-通过应力阻止反应。最终,以反应速率对化学亲和力张量的第一不变量的依赖关系的形式导出了本体化学反应的动力学方程。

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