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A peridynamics-based cohesive zone model (PD-CZM) for predicting cohesive crack propagation
International Journal of Mechanical Sciences ( IF 7.1 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.ijmecsci.2020.105830
Dong Yang , Xiaoqiao He , Xuefeng Liu , Yajie Deng , Xiaohua Huang

Abstract Since Dr. Silling proposed the peridynamics (PD) theory, PD has been successfully utilized to predict brittle crack propagation problems, however, a precise PD model with the prediction ability for quasi-brittle failure is still lacking. To this end, inspired by the PD theory and the conventional cohesive zone model (CZM), a PD-CZM is proposed in this work, together with a PD and finite element method (FEM) coupling approach to accurately predict cohesive crack propagation problems. The proposed PD-CZM is a nonlocal CZM established in the frame of PD through introducing an objective and precise damage model based on the energy equivalence. In the precise damage model, the tensile stretch limit is firstly analytically determined, and the discretization error is also eliminated by introducing calibration coefficients. The proposed PD-CZM is validated by directly comparing with the conventional CZM. The comparison shows that the proposed PD-CZM can approximately produce the same results as the conventional CZM for mode-I failure, and the PD-CZM model is not sensitive to the grid size. Also, four benchmark examples concerning mode-I and mixed-mode fracture of quasi-brittle materials are studied. The predicted results including both the load-displacement curves and the crack paths are in good agreement with the experimental data and the numerical results predicted by other numerical models.

中文翻译:

用于预测内聚裂纹扩展的基于近场动力学的内聚区模型 (PD-CZM)

摘要 自从Silling博士提出近场动力学(PD)理论以来,PD理论已经成功地用于预测脆性裂纹扩展问题,但仍然缺乏具有准脆性破坏预测能力的精确PD模型。为此,受 PD 理论和常规内聚区模型 (CZM) 的启发,本文提出了 PD-CZM,并结合 PD 和有限元法 (FEM) 耦合方法来准确预测内聚裂纹扩展问题。所提出的PD-CZM是通过引入基于能量等效的客观精确的损伤模型,在PD框架中建立的非局部CZM。在精确损伤模型中,首先解析确定拉伸拉伸极限,并通过引入校准系数来消除离散化误差。所提出的 PD-CZM 通过与传统 CZM 的直接比较得到验证。比较表明,所提出的 PD-CZM 对于模式 I 故障可以产生与传统 CZM 大致相同的结果,并且 PD-CZM 模型对网格大小不敏感。此外,还研究了关于准脆性材料的 I 型和混合模式断裂的四个基准示例。包括载荷位移曲线和裂纹路径在内的预测结果与实验数据和其他数值模型预测的数值结果吻合良好。研究了关于准脆性材料的 I 型和混合模式断裂的四个基准实例。包括载荷位移曲线和裂纹路径在内的预测结果与实验数据和其他数值模型预测的数值结果吻合良好。研究了关于准脆性材料的 I 型和混合模式断裂的四个基准实例。包括载荷位移曲线和裂纹路径在内的预测结果与实验数据和其他数值模型预测的数值结果吻合良好。
更新日期:2020-10-01
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