岩土力学 ›› 2022, Vol. 43 ›› Issue (1): 139-150.doi: 10.16285/j.rsm.2021.0821

• 基础理论与实验研究 • 上一篇    下一篇

基于Hoek-Brown的岩石横观各向同性 屈服准则研究

郑艳妮1, 2,张强3,张升1, 2,贾朝军1,雷明锋1   

  1. 1. 中南大学 土木工程学院,湖南 长沙 410075;2. 中南大学 高速铁路建造技术国家工程实验室,湖南 长沙 410075; 3. 中国水利水电科学研究院,北京 100048
  • 收稿日期:2021-06-01 修回日期:2021-09-09 出版日期:2022-01-10 发布日期:2022-01-07
  • 通讯作者: 张升,男,1979年生,博士,教授,博士生导师,主要从事岩土力学等方面的教学和科研。E-mail: zhang-sheng@csu.edu.cn E-mail:zhengyanni2020@csu.edu.cn
  • 作者简介:郑艳妮,女,1989年生,博士研究生,主要从事岩体本构关系及数值计算等方面的研究。
  • 基金资助:
    国家自然科学基金青年基金项目(No. 52008403);中南大学研究生自主探索创新项目(No. 2021zzts0233)

Yield criterion research on intact rock transverse isotropy based on Hoek-Brown citerion

ZHENG Yan-ni1, 2, ZHANG Qiang3, ZHANG Sheng1, 2, JIA Chao-jun1, LEI Ming-feng1   

  1. 1. School of Civil Engineering, Central South University, Changsha, Hunan 410075, China; 2. National Engineering Laboratory for High Speed Railway Construction, Central South University, Changsha, Hunan 410075, China; 3. China Institute of Water Resources and Hydropower Research, Beijing 100048, China
  • Received:2021-06-01 Revised:2021-09-09 Online:2022-01-10 Published:2022-01-07
  • Supported by:
    This work was supported by the Youth Foundation of National Natural Science Foundation of China (52008403) and the Autonomous Exploration Project of Central South University (2021zzts0233).

摘要: 为了描述岩石强度的各向异性特征,通过引入材料的微结构张量,考虑单轴抗压强度 随层理倾角? 而变化,提出了基于微结构张量的修正Hoek-Brown屈服准则。开展不同层理倾角(0°、15°、30°、45°、60°、75°和90°)的页岩试样不同围压(0、5、10、15和20 MPa)下的三轴压缩试验,结果显示,页岩峰值强度与层理倾角? 呈“U”形曲线关系,在围压较低时呈“肩”形曲线关系,弹性模量Et和泊松比ν对围压不敏感,其平均值随层理倾角? 的变化关系分别呈倒“U”形、“肩”形。页岩的微观和宏观破坏图像表明,其破坏模式受围压和层理倾角双重控制。试验值与模型预测值的对比表明,修正的Hoek-Brown屈服准则可较好地对页岩强度的各向异性进行模拟。同时,采用Koteshwar千枚岩、Koteshwar板岩、绿泥石片岩等层状结构岩石的单轴和三轴压缩试验数据,进一步验证了提出的修正Hoek-Brown屈服准则对多数具有层理结构的横观各向同性岩石峰值强度模拟具有普遍适用性,并对屈服准则在试验数据较多和较少情况下的峰值强度模拟效果进行了评价。

关键词: 层状页岩, 横观各向同性, Hoek-Brown, 屈服准则

Abstract: In order to describe the anisotropy characteristics of rock strength, a modified Hoek-Brown yield criterion based on the microstructure tensor is proposed, in this process, the microstructure tensor of the material is introduced, considering the change of uniaxial compressive strength with the bedding dip ?. Conventional triaxial compression tests are conducted on shale samples with different bedding orientations (0°, 15°, 30°, 45°, 60°, 75° and 90°) under different confining pressures (0, 5, 10, 15 and 20 MPa). The results show that the peak strength of shale and the bedding dip ? have a "U"-shaped curve relationship. When the confining pressure is low, it shows a "Shoulder"-shaped curve relationship. Elastic modulus Et and Poisson’s ratio ν are not sensitive to confining pressure, and the relationship between their average value and the bedding dip angle ? is inverted "U" shape and "shoulder" shape, respectively. The micro and macro failure modes of shale are further discussed, and the results show that its failure mode is controlled by both confining pressure and bedding dip. The comparison between experimental data and fitting results indicates that the modified Hoek-Brown yield criterion can simulate the anisotropy of shale strength satisfactorily. Meanwhile, the experiment data of uniaxial and triaxial compression tests on Koteshwar phyllite, Koteshwar slate and chlorite schist are conducted to further verify the application of the proposed modified Hoek-Brown yield criterion in the simulation of most transversely isotropic rock with bedding structure. The simulation effect of the peak strength of the yield criterion is evaluated in the case of more and less test data.

Key words: layered shale, transversely isotropic, Hoek-Brown, yield criterion

中图分类号: TU 452
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