COMPLAS 2023

Coupling hydrogen effects to plastic degradation in phase field fracture modelling

  • Díaz, Andrés (Universidad de Burgos)
  • Martínez-Pañeda, Emilio (Imperial College London)
  • Cuesta, Isidoro Iván (Universidad de Burgos)
  • Peral, Luis Borja (Unviersidad de Burgos)
  • Alegre, Jesús Manuel (Unviersidad de Burgos)

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Storage and transport of high-pressure gaseous hydrogen is limited by the selection of materials immune to hydrogen embrittlement. In order to optimise and reduce the over-conservatism in designs, predictive modelling for crack nucleation and propagation in the presence of hydrogen must be developed. In this work, a phase field modelling framework is presented as a robust tool to capture a ductile to brittle transition caused by hydrogen effects. Ductile modifications of the classical phase field model are introduced and discussed [1]: the possibility of different degradation functions for elastic and plastic strain energy densities, weighting factors for these terms and the inclusion of a plastic threshold. Despite embrittlement can be captured through a reduction of critical fracture energy [2], phenomenological expressions are proposed to account for hydrogen interactions with plasticity and void behaviour. Experimental examples of hydrogen-modified ductile fracture are extracted from literature to reinterpret each of these ductile phase field degradation features in the context of micromechanical theories for hydrogen embrittlement. Finally, the coupled implementation of hydrogen transport with the concentration-informed phase field model is demonstrated in the commercial software Comsol Multiphysics. Hydrogen transport analysis reproduces different phenomena involved in embrittlement: stress-assisted diffusion, trapping or transport by dislocations, and it is solved in a staggered scheme along the displacement and phase field problem. Results for numerical crack growth resistance curves demonstrate that hydrogen effects can be captured both by a reduction in the critical fracture energy and by a ductile degradation modification.