Abstract

In this study, the finite element method was used to predict the brittle fracture path using the phase-field approach. The staggered algorithm was adopted owing to its proved robustness. In order to reduce the computational time, an optimization method of matrix assembly was proposed. Then, a comparative study was performed between the isotropic and the hybrid formulations. Numerical tests were computed to compare these formulations. Because of the lack of experimental validation, tensile tests were achieved in order to validate the phase-field approach. A good agreement between the experimental and numerical results in terms of crack pattern was illustrated for the hybrid formulation.

摘要

在这项研究中，有限元方法被用来预测脆性断裂路径使用相场方法。交错算法被采用是由于其被证明的鲁棒性。为了减少计算时间，提出了一种矩阵组装的优化方法。然后，在各向同性和混合配方之间进行了比较研究。计算了数值测试来比较这些配方。由于缺乏实验验证，因此进行了拉伸测试以验证相场方法。对于混合配方，说明了在裂纹模式方面的实验结果和数值结果之间的良好一致性。