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Driving force on line fracture process zone and fracture parameters suitable for elastic–plastic materials
International Journal of Solids and Structures ( IF 3.4 ) Pub Date : 2021-02-09 , DOI: 10.1016/j.ijsolstr.2021.01.030
Longkun Lu , Zhanli Liu , Yinan Cui , Zhuo Zhuang

The driving force on the line, zero height, fracture process zone (FPZ) is investigated in this paper. First, basic laws for crack propagation based on the configurational force approach are derived in the framework of traditional continuum mechanics. The driving force on steady line FPZ is a direct consequence of these derivations. Fracture parameters suitable for growing cracks in elastic–plastic materials such as near tip integrals based on the incremental theory of plasticity, the energy-, displacement-, and strain-type parameters are consistent with the driving force on steady line FPZ. Therefore, the steady line FPZ has provided a unified framework encompassing the fracture parameters of stable crack growth in elastic–plastic bodies. Besides, the driving force on non-steady line FPZ is also derived, which consists of the driving force related to the self-expansion of FPZ and the driving force corresponding to the translation of FPZ. Before the crack initiation, the work of separation in the cohesive zone model (CZM) is associated with the self-expansion driving force. During the steady-state crack growth, the work of separation is equal to the translation driving force. Since the translation driving force is independent of the self-expansion driving force, the cohesive parameters at the crack initiation can differ from those during the steady-state phase.



中文翻译:

适用于弹塑性材料的线断裂过程区上的驱动力和断裂参数

本文研究了直线,零高度,断裂过程区(FPZ)上的驱动力。首先,在传统连续力学的框架内,推导了基于构型力方法的裂纹扩展基本规律。这些推导直接作用于稳定线FPZ上的驱动力。基于可塑性增量理论,适合于弹塑性材料中裂纹扩展的断裂参数(例如,近端积分),能量,位移和应变类型参数与稳定线FPZ上的驱动力一致。因此,实线FPZ提供了一个统一的框架,其中包含弹塑性体内稳定裂纹扩展的断裂参数。此外,还推导了非稳态线FPZ上的驱动力,由与FPZ的自扩张有关的驱动力和与FPZ的平移有关的驱动力组成。在裂纹萌生之前,内聚区模型(CZM)中的分离功与自膨胀驱动力相关。在稳态裂纹扩展期间,分离功等于平移驱动力。由于平移驱动力与自膨胀驱动力无关,因此裂纹萌生时的内聚参数可能不同于稳态阶段的内聚参数。分离功等于平移驱动力。由于平移驱动力与自膨胀驱动力无关,因此裂纹萌生时的内聚参数可能不同于稳态阶段的内聚参数。分离功等于平移驱动力。由于平移驱动力与自膨胀驱动力无关,因此裂纹萌生时的内聚参数可能不同于稳态阶段的内聚参数。

更新日期:2021-02-24
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