Strain gradient plasticity modeling of hydrogen diffusion to the crack tip

Emilio Martínez Pañeda, S. del Busto, Christian Frithiof Niordson, C. Betegon

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In this work hydrogen diffusion towards the fracture process zone is examined accounting for local hardening due to geometrically necessary dislocations (GNDs) by means of strain gradient plasticity (SGP). Finite element computations are performed within the finite deformation theory to characterize the gradient-enhanced stress elevation and subsequent diffusion of hydrogen towards the crack tip. Results reveal that GNDs, absent in conventional plasticity predictions, play a fundamental role on hydrogen transport ahead of a crack. SGP estimations provide a good agreement with experimental measurements of crack tip deformation and high levels of lattice hydrogen concentration are predicted within microns to the crack tip. The important implications of the results in the understanding of hydrogen embrittlement mechanisms are thoroughly discussed. (C) 2016 Hydrogen Energy Publications LLC. Published by Elsevier Ltd. All rights reserved.
Original languageEnglish
JournalInternational Journal of Hydrogen Energy
Issue number24
Pages (from-to)10265-10274
Publication statusPublished - 2016


  • Strain gradient plasticity
  • Hydrogen embrittlement
  • Fracture mechanics
  • Hydrogen diffusion
  • Finite element analysis


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