Generalised boundary conditions for hydrogen transport at crack tips

Dear iMechanicians,

I hope the present work is of interest to you. We present a new formulation for resolving the electrochemical-diffusion interface in hydrogen embrittlement modelling 

E. Martínez-Pañeda, A. Díaz, L. Wright, A. Turnbull

Generalised boundary conditions for hydrogen transport at crack tips

Corrosion Science 173, 108698 (2020)

https://www.sciencedirect.com/science/article/pii/S0010938X20305345

We present a generalised framework for resolving the electrochemistry-diffusion interface and modelling hydrogen transport near a crack tip. The adsorption and absorption kinetics are captured by means of Neumann-type generalised boundary conditions. The diffusion model includes the role of trapping, with a constant or evolving trap density, and the influence of the hydrostatic stress. Both conventional plasticity and strain gradient plasticity are used to model the mechanical behaviour of the solid. Notable differences are found in the estimated crack tip hydrogen concentrations when comparing with the common procedure of prescribing a constant hydrogen concentration at the crack surfaces.