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This paper presents a particle difference method (PDM) for simulating stress effects on hydrogen permeation through tubular membranes. The PDM directly discretizes the strong form of the equations governing the coupling between hydrogen diffusion and deformation in elastic solids under small strain. The method approximates a solution to the hydrogen chemical potential and solid displacement fields using a moving least squares approximation of the Taylor expansion through pointwise computation at collocation points. The applicability of the PDM is demonstrated through numerical results for hydrogen permeation through a Pd-based tubular membrane which are compared with those obtained from the conventional finite element method.