岩土力学 ›› 2022, Vol. 43 ›› Issue (S1): 613-622.doi: 10.16285/j.rsm.2020.1955

• 数值分析 • 上一篇    下一篇

单轴压缩荷载下闭合裂纹扩展的试验和数值研究

杨恩光，杨立云，胡桓宁，汪自扬，张飞   

  1. 中国矿业大学（北京）力学与建筑工程学院，北京 100083
  • 收稿日期:2020-12-30 修回日期:2022-03-30 出版日期:2022-06-30 发布日期:2022-07-15
  • 通讯作者: 杨立云，男，1983年生，博士研究生，教授，博士生导师，主要从事岩土工程和实验力学方面的教学和研究。E-mail: yangly@cumtb.edu.cn E-mail:153837354@qq.com
  • 作者简介:杨恩光，男，1996年生，硕士研究生，主要从事岩土工程和实验力学方面的研究。
  • 基金资助:
    国家自然科学基金（No.51974316）；越琦学者项目（No.800015Z1125）；中央高校基本科研业务费项目（No.8000150A256）。

Experimental and numerical research on propagation of closed cracks under uniaxial compression

YANG En-guang, YANG Li-yun, HU Huan-ning, WANG Zi-yang, ZHANG Fei   

  1. School of Mechanics and Civil Engineering, China University of Mining and Technology(Beijing), Beijing 100083, China
  • Received:2020-12-30 Revised:2022-03-30 Online:2022-06-30 Published:2022-07-15
  • Supported by:
    This work was supported by National Natural Science Foundation of China (51974316), Yueqi Scholar Project(800015Z1125) and the Fundamental Research Funds for the Central Universities(8000150A256).

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摘要： 岩体内部存在大量的裂隙，由于填充物的存在，在大多数情况下裂纹面是闭合的，受外力作用时会产生摩擦力，进而会影响到岩体裂隙的起裂模式和扩展行为。因此，为了研究闭合裂纹的起裂模式和扩展行为，用类岩石材料PMMA有机玻璃板制成含有闭合裂纹的预裂试样，在试样上进行单轴压缩试验，用数字图像相关系统（digital image correlation，简称DIC）记录并分析了闭合裂纹的起裂和扩展特征。另外，使用扩展有限元法（extended finite element method，简称XFEM）来模拟闭合裂纹的萌生和扩展，通过模拟得到了含闭合裂纹试样的破坏过程，并分析了闭合裂纹的起裂和扩展特征，与试验结果吻合良好，验证了数值模拟的有效性。在此基础上，引入裂纹倾角和裂纹面摩擦系数为变量，模拟研究了其对闭合裂纹起裂和扩展行为的作用机制。研究结果表明，裂纹闭合条件下产生的裂纹为翼型张拉裂纹。裂纹倾角和裂纹面摩擦系数对闭合裂纹的起裂模式和扩展行为有较大影响，裂纹倾角越大，起裂角越大；相反，裂纹面摩擦系数越大，起裂角越小。另外，裂纹面摩擦系数会对闭合裂纹的扩展产生抑制作用，且随着摩擦系数不断增大，抑制作用变得越来越显著，出现止裂现象。

关键词: 闭合裂纹, 摩擦系数, DIC, 扩展有限元, 裂纹扩展行为

Abstract: There are a large number of cracks inside the rock mass. Due to the existence of fillers, the crack surface is closed in most cases, and friction will be generated when subjected to external forces, which will affect the crack initiation mode and propagation behavior of the rock mass cracks. Therefore, in order to study the crack initiation mode and propagation behavior of closed cracks, a rock-like material PMMA plexiglass plate was used to make pre-splitting specimens containing closed cracks, and uniaxial compression tests were performed on the specimens. Digital image correlation system (DIC) recorded the initiation and propagation characteristics of closed cracks. In addition, the extended finite element method (XFEM) was used to simulate the initiation and propagation of closed cracks, the failure process of the specimens with closed cracks was obtained through simulation, and the initiation and propagation characteristics of closed cracks were analyzed, which was in good agreement with the test results. The validity of the numerical simulation is verified. On this basis, the crack inclination angle and the friction coefficient of the crack surface are introduced as variables, and their influence on the crack initiation and propagation behavior of closed cracks is simulated. The research results show that the cracks generated under the condition of crack closure are airfoil tension cracks. Crack inclination and crack surface friction coefficient have a greater impact on the crack initiation mode and growth behavior of closed cracks. The larger the crack inclination angle is, the larger the crack initiation angle is. On the contrary, the larger the friction coefficient of the crack surface is, the smaller the crack initiation angle is. In addition, the friction coefficient of the crack surface has an inhibitory effect on the growth of closed cracks, and as the friction coefficient continues to increase, the inhibitory effect becomes more and more significant, and crack arrest occurs.

Key words: closed crack, friction coefficient, DIC, extended finite element, crack growth behavior

中图分类号: TU451
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