Coupling diffusion–reaction–mechanics model for oxidation

Considering the chemical reaction during metal oxidation at high temperature, a coupled diffusion–reaction–mechanics model of the metallic oxidation is developed, which is different from the existing mechanochemistry coupling model. Seen from the coupled model, the hydrostatic pressure depending on the diffusion and reaction is a harmonic function if the body force is ignored. Analytical solutions of the concentration and hydrostatic pressure in the steady state are obtained. Then a numerical example in the unsteady state is performed by means of the finite difference method. Numerical results show that the distribution of the concentration in the thin plate is nonlinear due to the interactions among diffusion, reaction and stress.