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首页> 外文期刊>Arabian Journal for Science and Engineering >An Improved Form of SPH Method and Its Numerical Simulation Study on the Rock Crack Propagation Containing Fissures and Holes
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An Improved Form of SPH Method and Its Numerical Simulation Study on the Rock Crack Propagation Containing Fissures and Holes

机译：一种改进的SPH方法形式及其对裂缝和孔的岩石裂纹传播的数值模拟研究

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摘要

Defects widely exist in rock masses, which have great impacts on the rock mechanical properties. The pre-existing fissures and holes are two common rock defects. In order to study the influence of hole shapes and fissure geometries on the failure modes and mechanical properties of rock masses, the derivatives of kernel functions in the traditional SPH method have been improved by introducing a fracture mark ξ, and a novel numerical method named improved kernel of smoothed particle hydrodynamics (IKSPH) has been developed to realize the simulations of rock fracture processes. The Monte Carlo method has also been introduced into the proposed method to realize the formations of random fissures. The small-scale numerical rock specimens with different hole shapes as well as random fissures are established. The crack propagation processes, the failure modes and the mechanical properties under uniaxial compression are simulated, results show that: ‘Wing cracks’ initiate from the random fissures, whose locations and interaction modes differ according to the geometries of random fissures. For rectangle hole, the crack initiations mainly occur at the upper and lower edges as well as the corners; for circular hole, tensile cracks appear at the 6 and 12 o’clock directions, meanwhile, shear cracks initiate at the 5 and 7 o’clock direction after the tensile crack propagates to a certain extent; for trapezoid and triangle hole, crack initiations mostly appear at the corners of the hole; the length and quantity of pre-existing fissures have greater influences on the mechanical properties of rock masses than the hole shapes and fissure dip angles. The research results can provide guidance for the correct understandings of fractured rock mechanisms. Meanwhile, the proposed method can also provide references for the applications of SPH method into simulations of rock fracture mechanics. At the same time, future research focus should be put on the applications of IKSPH method into engineering practices and developing high-performance IKSPH programming.
机译：岩体中广泛存在的缺陷，对岩石机械性能产生很大影响。预先存在的裂缝和孔是两个常见的岩石缺陷。为了研究孔形状和裂隙几何对岩体的故障模式和机械性能的影响，通过引入裂缝标记ξ和称为改进的新型数值方法，改善了传统的SPH方法中的核功能的衍生物。已经开发了平滑粒子流体动力学（IKSPH）的核以实现岩石骨折过程的模拟。蒙特卡罗方法也被引入到所提出的方法中，以实现随机裂缝的形成。建立了具有不同孔形状的小规模数值岩石样本以及随机裂缝。模拟了单轴压缩下的裂缝传播过程，故障模式和机械性能，结果表明：'翼裂纹'从随机裂缝发起，其位置和交互模式根据随机裂缝的几何形状而不同。对于矩形孔，裂缝发起主要发生在上边缘和下边缘以及角落;对于圆孔，拉伸裂缝出现在6和12点方向上，同时，在拉伸裂纹在一定程度上传播后，剪切裂纹在5和7点方向上引发;对于梯形和三角形孔，裂缝发动机主要出现在孔的角落;预先存在的裂缝的长度和数量对岩体的机械性能影响比孔形状和裂缝倾角的影响更大。研究结果可以为正确的裂缝岩石机制提供指导。同时，所提出的方法还可以提供对SPH方法在岩石骨折力学模拟中的应用的参考。与此同时，应将未来的研究重点介绍IKSPH方法在工程实践中的应用以及开发高性能IKSPH编程。

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  • 来源
    《Arabian Journal for Science and Engineering》 |2021年第11期|11303-11317|共15页
  • 作者

    Xu‑Hua Ren; Shu‑Yang Yu; Hai‑Jun Wang; Ji‑Xun Zhang; Zhao‑Hua Sun;

  • 作者单位

    College of Water Conservancy and Hydropower Engineering Hohai University Nanjing 210098 China;

    College of Water Conservancy and Hydropower Engineering Hohai University Nanjing 210098 China School of Transportation and Civil Engineering Nantong University 9 Seyuan Road Nantong 226019 China;

    School of Transportation and Civil Engineering Nantong University 9 Seyuan Road Nantong 226019 China;

    College of Water Conservancy and Hydropower Engineering Hohai University Nanjing 210098 China;

    State Key Laboratory of Hydrology‑Water Resource and Hydraulic Engineering Nanjing Hydraulic Research Institute Nanjing 210029 China;

  • 收录信息 美国《科学引文索引》(SCI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    IKSPH method; Rock masses; Fissures and holes; Crack propagation; Numerical simulation; Fracture mechanics;

    机译：IKSPH方法;岩石;裂缝和孔;裂缝繁殖;数值模拟;骨折力学;

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