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Numerical simulation of crack propagation in three-point bending beams

机译：三点弯曲梁裂纹扩展的数值模拟

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摘要

In recent years, there has been growing interest in numerical modeling of the crack propagation and failure process of brittle materials using mesoscopic models. In this paper, at the meso-level, the process of crack propagation in three-point bending beam with a single pre-existing crack is numerically investigated by using a modified discontinuous deformation analysis (DDA) method. The parameter as well as the distance of the pre-existing crack away from the mid axis of beam is studied to examine its influence on the crack growth behavior. In the proposed method, some modifications, including the material heterogeneity, the artificial joint concept and the linear fracture mechanics have been embedded into the original DDA algorithm, enabling the DDA to perform crack growth analysis. The crack growth path is obtained, and it is found that the crack initials from the pre-crack tip and grows to the position of loading point. The stress field results show that the crack tip is always in tensile stress concentration state and as the crack increases, the stress concentration transfers to the new crack tip. The simulated results agree welt with the existing physical and mtmerical results, and the laws of crack propagation are in accordance with the phenomena observed in tests.
机译：近年来，人们越来越关注使用介观模型对脆性材料的裂纹扩展和破坏过程进行数值建模的兴趣。本文在细观水平上，通过使用改进的不连续变形分析（DDA）方法，对具有单个裂纹的三点弯曲梁中裂纹的扩展过程进行了数值研究。研究了现有裂纹的参数以及距梁中轴的距离，以考察其对裂纹扩展行为的影响。在提出的方法中，原始材料DDA算法已经嵌入了一些修改，包括材料异质性，人工关节概念和线性断裂力学，从而使DDA能够执行裂纹扩展分析。得到了裂纹的扩展路径，发现裂纹从裂纹前的尖端开始，并扩展到加载点的位置。应力场结果表明，裂纹尖端始终处于拉伸应力集中状态，随着裂纹的增加，应力集中转移到新的裂纹尖端。模拟结果与现有的物理和数字结果吻合，并且裂纹扩展的规律与测试中观察到的现象一致。

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