岩土力学 ›› 2023, Vol. 44 ›› Issue (12): 3551-3564.doi: 10.16285/j.rsm.2022.1920

• 基础理论与实验研究 • 上一篇    下一篇

基于纳米压痕试验的大理岩宏微观力学参数关联性研究

陈显辉,程毅,谢欣玥,陈蜜蜜   

  1. 中国地质大学(武汉) 工程学院,湖北 武汉 430074
  • 收稿日期:2022-12-08 接受日期:2023-02-07 出版日期:2023-12-20 发布日期:2023-12-21
  • 通讯作者: 程毅,男,1983年生,博士,副教授,主要从事岩石断裂力学及工程地质方面的研究。E-mail: chengyi@cug.edu.cn E-mail:xianhuiym@qq.com
  • 作者简介:陈显辉,男,1999年生,硕士研究生,主要从事岩石力学性质及微观断裂机制等方面的研究。
  • 基金资助:
    国家自然科学基金青年项目(No.41702314);国家自然科学基金面上项目(No.42177161)

Correlation between macro and micro mechanical parameters of marble based on nanoindentation experiment

CHEN Xian-hui, CHENG Yi, XIE Xin-yue, CHEN Mi-mi   

  1. Faculty of Engineering, China University of Geosciences (Wuhan), Wuhan, Hubei 430074, China
  • Received:2022-12-08 Accepted:2023-02-07 Online:2023-12-20 Published:2023-12-21
  • Supported by:
    This work was supported by the National Natural Science Foundation for Young Scientists of China (41702314) and the General Program of National Natural Science Foundation of China (42177161).

摘要:

纳米压痕试验是研究岩石微观力学性质的一种重要手段,目前讨论岩石微观力学性质与各类宏观强度相关性的研究很少。首先采用连续刚度测量法对4种不同大理岩进行纳米压痕试验,获得白云石与方解石矿物的微观力学参数。其次,通过Mori-Tanaka方法将获得的微观数据尺度升级,得到等效弹性模量和等效泊松比。最后,将微观参数与宏观力学试验结果进行关联性分析,在此基础上讨论了纳米压痕数据预测宏观性质的适用性。结果表明:(1)大理岩中白云石颗粒的弹性模量和硬度分别为122.5 GPa和5.4 GPa;方解石颗粒的弹性模量和硬度分别为70.3 GPa和2.3 GPa,相对而言方解石矿物的强度与变形性能较差。(2)针对大理岩的白云石和方解石矿物,采用连续刚度测量法获得的弹性模量和硬度,建议取值对应的深度在800 nm之后。(3)颗粒边界点的压痕数据离散性比颗粒内部点的大;硬度比弹性模量更能体现颗粒边界的缺陷效应。(4)通过Mori-Tanaka方法得到的均质化结果对预测宏观弹性模量、泊松比有一定的可靠性。(5)纳米压痕数据可以反映矿物种类对岩石强度的影响,但如果要较准确地预测单轴抗压强度、抗拉强度、断裂韧度等性质,还需要考虑岩石的结构、构造等其他强度影响因素。上述成果丰富了纳米压痕测试法在岩石材料中的应用,为利用微观力学参数预测宏观强度提供了参考。

关键词: 压痕试验, 连续刚度测量, 硬度, 微观力学参数, 大理岩

Abstract: Nanoindentation experiment is an important means to study micro mechanical properties of rock. Up to now only a few studies have discussed the correlation between the micro mechanical properties of rock and various macroscopic strengths of the rock. Firstly, the nanoindentation experiments on four different kinds of marble were carried out by the continuous stiffness measurement technique to obtain the micro mechanical parameters of dolomite and calcite. Secondly, the microscopic data scale was upgraded by Mori-Tanaka method to obtain the homogenized elastic modulus and Poisson’s ratio. Finally, the correlation between the microscopic parameters and the macroscopic mechanical experiment results was analyzed, and the applicability of predicting macroscopic properties of rock using nanoindentation data was discussed. The results show that: (1) The elastic modulus of dolomite in marble is 122.5 GPa, and the hardness is 5.4 GPa. The elastic modulus of calcite in marble is 70.3 GPa, and the hardness is 2.3 GPa. The strength and deformation properties of calcite are relatively poorer compared to those of dolomite. (2) For dolomite and calcite in marble, an indention depth of approximately 800 nm is recommended for determining the elastic modulus and hardness with the continuous stiffness measurement technique. (3) The data dispersion at the grain boundary points is larger than that at the inner points of the grain, and the hardness can better reflect the defect effect of grain boundary than elastic modulus does. (4) The homogenized results obtained by Mori-Tanaka method are somewhat reliable for predicting macroscopic elastic modulus and Poisson’s ratio. (5) Nanoindentation data can reflect the influence of mineral types on rock strength. To accurately predict uniaxial compressive strength, tensile strength, and fracture toughness, it is necessary to consider other strength factors, such as rock texture and structure. These results demonstrate the application of nanoindentation experiment in rock materials and provide a reference for predicting macroscopic strength using micro mechanical parameters.

Key words: indentation test, continuous stiffness measurement, hardness, micro mechanical parameters, marble

中图分类号: 

  • TU452
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