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水力发电学报 ›› 2020, Vol. 39 ›› Issue (7): 12-20.doi: 10.11660/slfdxb.20200702

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基于改进接触界面模型的离散元复合断裂模拟

  

  • 出版日期:2020-07-25 发布日期:2020-07-25

Modified interface model for mixed-mode fracture analysis using discrete element method

  • Online:2020-07-25 Published:2020-07-25

摘要: 断裂过程区的合理表征对于混凝土和岩石等准脆性材料非线性损伤断裂的模拟具有重要意义。本文基于内聚力模型框架,对传统可变形体离散元方法中离散块体的接触界面模型进行改进,引入具有拉断性质的摩尔-库仑屈服面和BK复合能量演化准则,构建能够考虑单拉、拉剪与压剪响应区的非线性界面本构方程,并在分析模型中引入Voronoi镶嵌几何策略以克服断裂扩展路径对离散块体拓扑的依赖性。选择Galvez非对称三点弯梁试验对本文接触界面模型进行验证,计算和试验结果有较好的一致性,充分表明本文模型用于模拟I型和复合断裂问题的适用性。

关键词: 离散元, 内聚力模型, Voronoi镶嵌, 复合断裂

Abstract: Reasonable characterization of fracture process zone is key to nonlinear fracture simulation of quasi-brittle materials, such as concrete and rock. This paper, based on a framework of cohesive zone model, presents an extension of the frictional contact model between discrete blocks in the deformable discrete element method. In this model, we adopt a new cracking criterion by combining the mixed-mode BK fracture energy criterion with to the Mohr-Coulomb criterion with tension-cutoff, and formulate nonlinear interface constitutive equations capable of modeling tension-shear and compression-shear mix-mode loading conditions. And Voronoi tessellation is used to eliminate the dependence of fracture propagation paths on the geometric division of discrete blocks. Through parametric analysis of the Galvez asymmetric three-point bending beam tests and adopting suitable softening parameters, we achieve a good agreement between the results of this model and the test data, verifying its capability in simulating uniaxial tension and mixed-mode fractures.

Key words: discrete element method, cohesive zone model, Voronoi tessellation, mixed-mode fracture

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