Hydrogen as an Indicator of High-cycle Fatigue

The paper is concerned with study of uncertainties in multi-body systems on example of the hydrogen diffusion. To this end, the distribution of hydrogen due to the diffusion in a system composed from two rods coupled by an imperfect interface is analysed. It is shown that the governing equation for 1-D diffusion is reduced to a generalized Mathieu equation. A closed form expression for the principle instability regions is obtained and a safe level of harmonic load is determined under which the fatigue fracture does not occur.