The newly proposed nonlocal macro‐meso‐scale damage (NMMD) model is extended to dynamic cracking simulation. For this purpose, the framework of continuum damage mechanics and damage constitutive model are firstly described. The NMMD, where the meso‐scale damage is determined according to the deformation of material bond and then the macroscopic topologic damage is endowed with the weighted averaging over the meso‐scale damage in the influence domain of the material point, is then elaborated and incorporated into the framework. Specifically, the criterion of meso‐scale damage is renormalized. The numerical algorithms including the spatial discretization by the finite element methods and the time integration methods by an explicit scheme are outlined. Several examples are studied in detail, showing the effectiveness of the proposed method. In particular, due to the nonlocal property, there is no spatial mesh size sensitivity. Owing to the scale renormalization of the meso‐scale damage, the results are insensitive to the influence radius in some examples. The dynamic cracking, including the crack propagation velocity, the damage dissipation rate, and the connection to the dynamic crack branching, is discussed in detail based on the computed results.

中文翻译：

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各向同性材料非局部宏观中观损伤模型的动态裂纹模拟

新提出的非局部宏观中观损伤（NMMD）模型扩展到了动态裂纹模拟。为此，首先描述了连续损伤力学和损伤本构模型的框架。然后，根据材料键的变形确定中尺度损伤，然后在材料点的影响域中对中尺度损伤进行加权平均，从而赋予宏观拓扑损伤，并加以阐述进入框架。特别是，对中尺度破坏的标准进行了重新规范化。概述了包括有限元方法的空间离散化和显式方案的时间积分方法在内的数值算法。详细研究了几个例子，表明了该方法的有效性。特别是，由于具有非局部属性，因此不存在空间网格尺寸敏感性。由于中尺度损伤的尺度重新归一化，在某些示例中，结果对影响半径不敏感。基于计算结果，详细讨论了动态裂纹，包括裂纹扩展速度，损伤耗散率以及与动态裂纹分支的关系。