Abstract The phase field fracture method has emerged as a promising computational tool for modelling a variety of problems including, since recently, hydrogen embrittlement and stress corrosion cracking. In this work, we demonstrate the potential of phase field-based multi-physics models in transforming the engineering assessment and design of structural components in hydrogen-containing environments. First, we present a theoretical and numerical framework coupling deformation, diffusion and fracture, which accounts for inertia effects. Several constitutive choices are considered for the crack density function, including choices with and without an elastic phase in the damage response. The material toughness is defined as a function of the hydrogen content using an atomistically-informed hydrogen degradation law. The model is numerically implemented in 2D and 3D using the finite element method. The resulting computational framework is used to address a number of case studies of particular engineering interest. These are intended to showcase the model capabilities in: (i) capturing complex fracture phenomena, such as dynamic crack branching or void-crack interactions, (ii) simulating standardised tests for critical components, such as bolts, and (iii) enabling simulation-based paradigms such as Virtual Testing or Digital Twins by coupling model predictions with inspection data of large-scale engineering components. The evolution of defects under in-service conditions can be predicted, up to the ultimate failure. By reproducing the precise geometry of the defects, as opposed to re-characterising them as sharp cracks, phase field modelling enables more realistic and effective structural integrity assessments.

中文翻译：

---

相场断裂在氢辅助失效建模中的应用

摘要 相场断裂方法已成为一种很有前途的计算工具，可用于模拟各种问题，包括最近的氢脆和应力腐蚀开裂。在这项工作中，我们展示了基于相场的多物理场模型在转变含氢环境中结构部件的工程评估和设计方面的潜力。首先，我们提出了一个耦合变形、扩散和断裂的理论和数值框架，它解释了惯性效应。裂纹密度函数考虑了几种本构选择，包括在损伤响应中有弹性相和无弹性相的选择。材料韧性被定义为氢含量的函数，使用原子学上的氢降解定律。该模型使用有限元方法在 2D 和 3D 中进行数值实现。由此产生的计算框架用于解决许多具有特殊工程兴趣的案例研究。这些旨在展示模型在以下方面的能力：(i) 捕获复杂的断裂现象，例如动态裂纹分支或空隙-裂纹相互作用，(ii) 模拟关键部件（例如螺栓）的标准化测试，以及 (iii) 启用模拟——通过将模型预测与大型工程组件的检查数据相结合，基于范式，例如虚拟测试或数字孪生。可以预测在使用条件下缺陷的演变，直至最终失效。通过重现缺陷的精确几何形状，而不是将它们重新描述为尖锐的裂纹，