Mathematical modeling of hydrogen diffusion in a medium with impurity and structural traps in the conditions of the formation and decomposition of hydrogen-containing complexes

The process of creating a physical and mathematical model of the hydrogen permeability of a hollow cylinder, depending on the level, sign and nature of the distribution of internal stresses on the example of electrochemical alloys synthesized by electrolysis, is shown. For the concentration fields of hydrogen atoms, the corresponding analytical dependences are used, which are the basis for mathematical modeling of diffusion processes and demonstrate the possibility of controlling the hydrogen permeability of metals. It is shown that the hydrogen permeability of a hollow cylinder primarily depends on the level and nature of the distribution of internal stresses (tensile and compressive). Internal stresses with a logarithmic dependence on coordinates have a single mathematical description, and the use of the principle of superposition allows you to display a picture of the joint interactions of the fields of internal stresses of various origins. The mathematical interpretation of internal stresses in crystals is reduced to the introduction of some dimensionless parameters, which are easily calculated and algebraically summed. This allows the model to demonstrate the possibility of parametric control of internal stresses in alloys. The mathematical model of the diffusion process for a medium with the formation and decay of immovable metal-impurity-hydrogen complexes is presented taking into account the probabilities of their formation and decay.