Two-Dimensional DDA Contact Constitutive Model for Simulating Rock Fragmentation
Two-Dimensional DDA Contact Constitutive Model for Simulating Rock Fragmentation
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模拟岩石破碎的二维DDA接触本构模型
DOI：
10.1061/(asce)em.1943-7889.0000319
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发表时间：
2012-02
影响因子：
3.3
通讯作者：
Zhao J
中科院分区：
文献类型：
--
作者：
Jiao YY;Zhang XL;Zhao J
由于断裂力学难以处理多裂纹问题，基于连续介质的数值方法在模拟岩石破碎过程时往往会遇到数学问题，因此基于非连续介质的数值方法值得尝试。提出了一种新的二维接触本构模型，用于非连续变形分析（DDA）方法模拟节理岩体的破碎过程。该接触本构模型由法向的两相力-位移关系和剪切方向的Mohr-Coulomb准则组成。在块体接触面的法向施加两相力-位移关系，而不是惩罚接触弹簧。第一阶段充当原始罚簧，第二阶段充当内聚组件。将新的接触本构模型应用到DDA程序中，并通过四个算例进行了验证。模拟结果与物理试验及其他数值模拟结果吻合较好，表明该方法能够模拟岩石破碎的全过程，能够处理完整岩石、非贯通节理岩体甚至块状岩石结构的情况。此外，由于三角形块形状的性质，所提出的模型可以避免网格依赖问题。DOI：10.1061/（ASCE）EM.1943-7889.0000319。(C)2012年美国土木工程师学会。
Due to the difficulties of fracture mechanics in dealing with multicrack problems, the continuum-based numerical methods always encounter mathematical problems when modeling rock fragmentation, so the alternative discontinuum-based numerical approaches are worth trying. This paper presents a new two-dimensional contact constitutive model for the discontinuous deformation analysis (DDA) method to simulate the fragmentation of jointed rock. This contact constitutive model consists of a two-phase force-displacement relation in the nomal direction and the Mohr-Coulomb criterion in the shear direction. The two-phase force-displacement relation is imposed in the normal direction of the block interface, instead of the penalty contacting spring. The first phase functions as the original penalty spring, and the second phase serves as a cohesive component. This new contact constitutive model was incorporated into the original DDA code, and four examples were computed for verification. The simulated results agree favorably with those obtained from physical tests and other numerical simulation, showing that the proposed method can simulate the whole process of rock fragmentation and can deal with cases of intact rock, rock mass with nonpenetrative joints, and even blocky rock structures. Furthermore, due to the nature of the triangular block shape, the proposed model can avoid the mesh dependence problem. DOI: 10.1061/(ASCE)EM.1943-7889.0000319. (C) 2012 American Society of Civil Engineers.
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