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Theoretical Research on The Dynamic Crack Propagation Velocity Based on Nonlocal Field Theories

机译：基于非局部场理论的动态裂纹扩展速度的理论研究

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The purpose of this paper is to discuss the nonlocal effect on dynamic crack propagation velocity. Some experimental phenomena in dynamic fracture and simulative results using molecular & atom dynamics were analyzed and discussed in this paper. The authors found that there were still some disagreements on the dynamic crack propagation velocity. Based on these researches, we introduced nonlocal field theories into the estimation of dynamic crack propagation velocity. The dynamic crack propagation velocity is affected not only by the crack instability, but by characteristic length of material. A nonlocal characteristic length parameter M is defined through a double pile-up dislocation model. According to the Mott's research method for crack velocity in dynamic fracture and the nonlocal field theories, an approximate theoretical dynamic propagation velocity is obtained. And we conclude that the velocity is related to the combined activity of the nonlocal characteristic length parameter M, the velocity of longitudinal wave, constant k, crack length and Poisson's ratio.
机译：本文的目的是讨论对动态裂纹扩展速度的非局部影响。本文分析和讨论了动态断裂中的一些实验现象以及使用分子和原子动力学的模拟结果。作者发现，在动态裂纹扩展速度上仍然存在一些分歧。在这些研究的基础上，我们将非局部场理论引入到动态裂纹扩展速度的估计中。动态裂纹扩展速度不仅受裂纹不稳定性的影响，还受材料特征长度的影响。通过双堆积位错模型定义非局部特征长度参数M。根据莫特的动态断裂裂纹速度研究方法和非局部场理论，得到了近似的理论动态传播速度。并且我们得出结论，速度与非局部特征长度参数M，纵波速度，常数k，裂纹长度和泊松比的组合活动有关。

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