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Particle difference method for hydrogen permeation through tubular membranes

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Abstract

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.

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Acknowledgements

The support from the Brazilian agency CNPq and CAPES are gratefully acknowledged.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, ITEC, Federal University of Pará, Belém, PA, 66075-900, Brazil

    A. G. B. da Cruz

  2. Mechanical Engineering Program, COPPE, Federal University of Rio de Janeiro, Rio de Janeiro, RJ, 21945-970, Brazil

    S. Zio

  3. Mechanical Engineering Program/PGMEC, Fluminense Federal University, Niterói, Brazil

    A. C. Souza

  4. Mechanical Engineering Program and Nanoengineering Program, COPPE, Federal University of Rio de Janeiro, Rio de Janeiro, RJ, 21945-970, Brazil

    F. P. Duda

Authors
  1. A. G. B. da Cruz
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  2. S. Zio
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  3. A. C. Souza
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  4. F. P. Duda
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Corresponding author

Correspondence to A. G. B. da Cruz.

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Technical Editor: Paulo de Tarso Rocha de Mendonça.

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da Cruz, A.G.B., Zio, S., Souza, A.C. et al. Particle difference method for hydrogen permeation through tubular membranes. J Braz. Soc. Mech. Sci. Eng. 40, 509 (2018). https://doi.org/10.1007/s40430-018-1424-x

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  • DOI: https://doi.org/10.1007/s40430-018-1424-x

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