A linear-elastic body is considered, in which a chemical reaction localized at the front is maintained, supported by the diffusion of the gaseous component through the layer of the newlyformed material. The comparative influence of mechanical stresses on the kinetics of the chemical reaction front is studied by taking into account the contribution of stresses to the surface reaction rate through the chemical affinity tensor and to the diffusion process through various stress dependences of the diffusion coefficient. As an example, the propagation of the centrally symmetric and axisymmetric reaction fronts in various boundary-value problems is considered with the use of different diffusion models.
In this work, the diffusion equation for the gas-solid system is revised to describe the non-uniform distribution of hydrogen in steels. The first attempt to build a theoretical and general model and to describe the diffusion process as driven by a chemical potential gradient is made. A linear elastic solid body and ideal gas, diffusing into it, are considered. At this stage, we neglect any traps and non-linear effects. The coupled diffusion-elastic boundary problem is solved for the case of the cylinder under the tensile loads. The obtained results correspond to the experimental ones. Based on them, the assumptions about the correctness of the model and its further improvement are suggested.
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