A phase field-based framework for electro-chemo-mechanical fracture: crack-contained electrolytes, chemical reactions and stabilisation
arXiv:2307.01105 · doi:10.1016/j.cma.2023.116235
Abstract
We present a new theoretical and computational framework for modelling electro-chemo-mechanical fracture. The model combines a phase field description of fracture with a fully coupled characterisation of electrolyte behaviour, surface chemical reactions and stress-assisted diffusion. Importantly, a new physics-based formulation is presented to describe electrolyte-containing phase field cracks, appropriately capturing the sensitivity of electrochemical transport and reaction kinetics to the crack opening height. Unlike other existing methods, this approach is shown to accurately capture the results obtained with discrete fracture simulations. The potential of the electro-chemo-mechanical model presented is demonstrated by particularising it to the analysis of hydrogen embrittlement in metallic samples exposed to aqueous electrolytes. The finite element implementation takes as nodal degrees-of-freedom the electrolyte potential, the concentrations of relevant ionic species, the surface coverage, the concentration of diluted species, the displacement field and the phase field order parameter. Particular attention is devoted to improve stability and efficiency, resulting in the development of strategies for avoiding ill-constrained degrees of freedom and lumped integration schemes that eliminate numerical oscillations. The numerical experiments conducted showcase the ability of the model to deliver assumptions-free predictions for systems involving both free-flowing and crack-contained electrolytes. The results obtained highlight the role of electrolyte behaviour in driving the cracking process, evidencing the limitations of existing models.
References in corpus (13)
- A phase field formulation for hydrogen assisted cracking
- A novel framework to model the fatigue behavior of brittle materials based on a variational phase-field approach
- Phase field modelling of crack propagation in functionally graded materials
- A phase field model for elastic-gradient-plastic solids undergoing hydrogen embrittlement
- On penalization in variational phase-field models of brittle fracture
- An assessment of phase field fracture: crack initiation and growth
- Cracking predictions of lithium-ion battery electrodes by X-ray computed tomography and modelling
- Phase field modelling of fracture and fatigue in Shape Memory Alloys
- A generalised, multi-phase-field theory for dissolution-driven stress corrosion cracking and hydrogen embrittlement
- Strain gradient plasticity modeling of hydrogen diffusion to the crack tip
- A cohesive zone framework for environmentally assisted fatigue
- A phase field electro-chemo-mechanical formulation for predicting void evolution at the Li-electrolyte interface in all-solid-state batteries
- Generalised boundary conditions for hydrogen transport at crack tips