Abstract
Abstract The diffusion of hydrogen in zircaloy under the influence of mechanical stresses is investigated. The governing equations are derived from the chemical potential of hydrogen including the contribution due to hydrostatic stresses. The obtained differential equation is converted to a system of algebraic equations by applying the finite element method and the weighted residual procedure. The equations are used to study the hydrogen diffusion in a fuel rod cladding tube with an axial crack and in a strip plate. It is demonstrated that the hydrogen tends to flow towards the areas of positive hydrostatic stress gradients where it precipitates in hydrides when the solubility limit is exceeded. The precipitation is itself a mechanism enhancing the transport to these areas by weakening the effect of the diffusion driven by concentration differences. The presented method can readily be applied to the diffusion of other species in metals.
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