A critical discussion on non-linear steady-state concentration profiles for hydrogen diffusion in elastic metallic membranes, proposed by other authors, is provided based on mathematical analysis and numerical simulation. It is shown that the non-linear distribution is non-existent and the linear form is the only solution for the ideal solid solution phase.
Zhang, W. S., Zhang, X. W., & Zhang, Z. L. (2000). Steady concentration distribution of hydrogen in elastic membranes during hydrogen diffusion. Journal of Alloys and Compounds, 302(1–2), 258–260. https://doi.org/10.1016/S0925-8388(99)00824-5