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 numerically implement our theory using the finite element method and defining as primary fields the displacement components, the phase field corrosion order parameter, the metal ion concentration, the phase field fracture order parameter and the hydrogen concentration. Representative 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 failure 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.

我们提出了一种基于相场的电化学-机械公式，用于模拟弹塑性固体中的力学增强腐蚀和氢辅助开裂。多相场方法首次用于提出应力腐蚀开裂的一般框架，结合了阳极溶解和氢脆机制。我们使用有限元方法在数值上实现了我们的理论，并将位移分量、相场腐蚀顺序参数、金属离子浓度、相场断裂顺序参数和氢浓度定义为初级场。代表性案例研究旨在展示模型在各种材料和环境中的预测能力，与基准测试和实验观察达成有希望的协议。我们表明，所提出的广义公式可以根据环境捕捉阳极溶解和氢驱动失效机制之间的相互作用；包括从一种到另一种的转变、它们的协同作用和它们各自的发生。这种通用框架可以为环境-材料相互作用和对应力腐蚀开裂的理解带来新的见解，正如本文为 Gruhl 开创性实验提供的第一个模拟结果所证明的那样。