Abstract Phase Field Method (PFM) has remarkable performance in simulating crack patterns with complex topology and the edge-based smoothed finite element method (ES-FEM) has intrinsic advantages in modeling the fracture behavior at large deformation. A phase field fracture model for modeling hyperelastic material at large deformation is proposed based on ES-FEM. The weak forms and numerical framework of proposed model are thoroughly derived and constructed. The Neo-Hooken and Mooney-Rivlin constitutive models are adopted to describe the large deformation response of rubber-like materials under displacement load. Fracture behaviors of the penny shaped pre-cracked specimen and the double edge notched specimen in tension are simulated. The load-displacement curves of the double edge notched specimen agree well with that of the experiments. The influence of material constitutive model on Mode II crack propagation is investigated. It is shown that the developed model can capture the Mode I and the mode II cracks of rubber-like material and is insensitive to the distorted mesh at large deformation.

中文翻译：

---

基于边缘平滑有限元法的超弹性材料大变形断裂行为相场模拟

摘要 相场法（PFM）在模拟具有复杂拓扑结构的裂纹模式方面具有显着的性能，而基于边缘的平滑有限元法（ES-FEM）在模拟大变形断裂行为方面具有固有的优势。基于ES-FEM，提出了一种模拟大变形超弹性材料的相场断裂模型。推导出并构建了所提出模型的弱形式和数值框架。采用 Neo-Hooken 和 Mooney-Rivlin 本构模型来描述类橡胶材料在位移载荷下的大变形响应。模拟了硬币形预裂纹试样和双边缘缺口试样在拉伸条件下的断裂行为。双刃缺口试样的载荷-位移曲线与实验结果吻合良好。研究了材料本构模型对模式 II 裂纹扩展的影响。结果表明，所开发的模型可以捕获类橡胶材料的 I 型和 II 型裂纹，并且对大变形下的扭曲网格不敏感。