Abstract In this paper, the virtual crack closure technique (VCCT), commonly used in the numerical finite element method (FEM), is for the first time reformulated in nonlocal peridynamic theory, and a new peridynamics-based virtual crack closure technique (PD_VCCT) is proposed for the energy release rate calculation in the framework of peridynamics. The mode I, mode II, and their mixed mode fracture cases are considered. Two typical tests using the single edge-notched tension (SENT) and asymmetric double cantilever beams (ADCB) specimens are considered for implementation and verification, and the numerical energy release rates calculated by the present PD_VCCT are compared with those by the FEM-based VCCT. The close comparisons demonstrate that the proposed PD_VCCT can successfully predict the energy release rates for the cases of mode I, mode II and their mixed mode fracture and it can be used as a viable and effective tool for fracture analysis.

中文翻译：

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近场动力学理论中的虚拟裂纹闭合技术

摘要 本文首次在非局部近场动力学理论中重新表述了数值有限元法（FEM）中常用的虚拟裂纹闭合技术（VCCT），以及一种新的基于近场动力学的虚拟裂纹闭合技术（PD_VCCT）。建议用于近场动力学框架下的能量释放率计算。考虑了模式 I、模式 II 及其混合模式断裂情况。考虑实施和验证使用单边缘缺口张力 (SENT) 和非对称双悬臂梁 (ADCB) 试样的两个典型测试，并将当前 PD_VCCT 计算的数值能量释放率与基于 FEM 的 VCCT 进行比较. 仔细比较表明，所提出的 PD_VCCT 可以成功预测模式 I 情况下的能量释放率，