Concentration transfer function of hydrogen diffusion in self-stressed metals

The effects of self-stress on the concentration transfer function of hydrog en diffusion in a continuous elastic solid-metal matrix were analyzed. A la rge thin-plate metal specimen saturated with hydrogen is the essential part of the system. The equilibrium is perturbed by a small-magnitude sine-wave input signal of hydrogen concentration applied at one surface of the speci men. In response, oscillations of hydrogen concentration appear at the oppo site surface. The concentration transfer function is defined as the ratio o f the stationary response to input signals. The derived diffusion equations are non-linear. They are linearized, and then solved analytically. The res ulting transfer function is discussed in terms of hydrogen permeation throu gh a specimen of properties similar to palladium and Pd81Pt19 alloy, in wid e ranges of hydrogen concentrations in the metal matrix and of frequencies of the signal. At relatively high frequencies, the system is highly sensiti ve to non-Fickian diffusion, resulting from the non-local effect of self-st ress. Transfer function spectroscopy seems to be a more powerful tool for s tudying the hydrogen transport in self-stressed metals than the commonly us ed transient break-through method. In particular, it should allow the depen dence of the hydrogen diffusion coefficient and of the elastic modulus of m etal-hydrogen solids on the hydrogen concentration to be studied. (C) 2001 Elsevier Science B.V. All rights reserved.