A generalised, multi-phase-field theory for dissolution-driven stress corrosion cracking and hydrogen embrittlement Chuanjie Cui a,b , Rujin Ma b,c , Emilio Mart´ ınez-Pa˜ neda a,* a Department of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UK b College of Civil Engineering, Tongji University, Shanghai 200092, China c Key Laboratory of Performance Evolution and Control for Engineering Structures, Tongji University, Shanghai 200092, China Abstract We present a phase field-based electro-chemo-mechanical formulation for modelling mechanics- enhanced corrosion and hydrogen-assisted cracking in elastic-plastic solids. A multi-phase-field approach is used to present, for the first time, a general framework for stress corrosion cracking, incorporating both anodic dissolution and hydrogen embrittlement mechanisms. We numeri- cally implement our theory using the finite element method and defining as primary kinematic variables the displacement components, the phase field corrosion order parameter, the metal ion concentration, the phase field fracture order parameter and the hydrogen concentration. Rep- resentative case studies are addressed to showcase the predictive capabilities of the model in various materials and environments, attaining a promising agreement with benchmark tests and experimental observations. We show that the generalised formulation presented can capture, as a function of the environment, the interplay between anodic dissolution- and hydrogen-driven fail- ure mechanisms; including the transition from one to the other, their synergistic action and their individual occurrence. Such a generalised framework can bring new insight into environment- material interactions and the understanding of stress corrosion cracking, as demonstrated here by providing the first simulation results for Gruhl’s seminal experiments. Keywords: Multi-phase-field, Stress corrosion cracking, Anodic dissolution, Hydrogen embrittlement, Fracture mechanics * Corresponding author. Email address: [email protected] (Emilio Mart´ ınez-Pa˜ neda) Preprint submitted to Journal of the Mechanics and Physics of Solids May 25, 2022 arXiv:2205.12096v1 [cond-mat.mtrl-sci] 24 May 2022
A generalised, multi-phase-field theory for dissolution-driven stress corrosion cracking and hydrogen embrittlement
May 17, 2023
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