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离散元双球模型建模及脆性断裂模拟

Modeling and simulation of brittle fracture in Discrete Element double-sphere models

  • 摘要: 为了提高离散元位移场计算精度,从排列建模及力的传递角度提出双球模型。首先为了验证双球模型的准确性和适用性,研究了带孔平板的位移场,通过对离散元计算结果与有限元对比,发现3条切割线4个方向位移场的最大相对误差分别是11.5%、4.6%、4.1%和0.1%,从而验证了双球模型弹性行为的准确性,随后使用双球模型对巴西劈裂试验和三点凹槽断裂试验进行模拟,发现其断裂行为与力位移曲线都与巴西圆盘劈裂试验和三点凹槽断裂试验十分吻合,最后验证了双球模型的准确性和适用性。为深化对断裂行为的理解提供了新的方法和视角。

     

    Abstract: To improve the accuracy of displacement field computations in the Discrete Element Method (DEM), this study proposes a dual-sphere model from the perspectives of arrangement modeling and force transmission. To validate the accuracy and applicability of the dual-sphere model, this research investigates the displacement field of a perforated plate. By comparing the results of DEM simulations with finite element analysis, it is found that the maximum relative errors of displacement fields in four directions along three cutting lines are 11.5%, 4.6%, 4.1%, and 0.1%, respectively, validating the accuracy of the dual-sphere model. Subsequently, the dual-sphere model is utilized to simulate Brazilian splitting tests and three-point notched fracture tests, demonstrating that its fracture behavior and force-displacement curves closely match experimental results, thereby confirming the accuracy and applicability of the dual-sphere model. This study provides new methods and perspectives for a deeper understanding of fracture behavior.

     

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