考虑T应力及裂隙参数的岩体压剪断裂准则

doi:10.12068/j.issn.1005-3026.2024.06.016

东北大学学报（自然科学版） ›› 2024, Vol. 45 ›› Issue (6): 874-882.DOI: 10.12068/j.issn.1005-3026.2024.06.016

• 资源与土木工程 • 上一篇

考虑T应力及裂隙参数的岩体压剪断裂准则

刘红岩¹(), 祝凤金², 周月智¹, 郑秀华¹

^1.中国地质大学（北京）工程技术学院，北京 100083
^2.浙江大学建筑工程学院，浙江杭州 310028

收稿日期:2023-02-24 出版日期:2024-06-15 发布日期:2024-09-18
通讯作者: 刘红岩
作者简介:刘红岩（1975-），男，河南扶沟人，中国地质大学（北京）教授，博士生导师
郑秀华（1965-），女，辽宁康平人，中国地质大学（北京）教授，博士生导师.
基金资助:
北京市自然科学基金资助项目(8222031);国家重点研发计划项目(2019YFC1509701);新疆维吾尔自治区“天池英才”领军人才计划资助项目(2023);国家自然科学基金资助项目(42172342)

Compression-Shear Fracture Criterion for the Rockmass Considering T-Stress and Crack Parameter

Hong-yan LIU¹(), Feng-jin ZHU², Yue-zhi ZHOU¹, Xiu-hua ZHENG¹

^1.School of Engineering & Technology，China University of Geosciences （Beijing），Beijing 100083，China
^2.College of Civil Engineering and Architecture，Zhejiang University，Hangzhou 310028，China.

Received:2023-02-24 Online:2024-06-15 Published:2024-09-18
Contact: Hong-yan LIU
About author:LIU Hong-yan， E-mail： lhyan1204@126.com

摘要/Abstract

摘要：

针对压剪作用下裂隙面将发生闭合及摩擦滑移的特点，首先基于Muskhelishvili复变函数理论，建立了压剪作用下裂隙岩体的Kolossoff-Muskhelishvilli应力函数，并求得考虑裂隙3类参数（即几何参数、摩擦强度参数和变形参数）的裂隙尖端应力强度因子K和3个T应力分量的计算公式；其次，将其代入经典的最大周向应力准则，得到考虑裂隙尖端T应力及裂隙3类参数的修正最大周向应力准则；同时该准则认为裂隙法向及切向刚度与裂隙面受力特征密切相关，而非定值，并给出了不同裂隙倾角时的裂隙变形参数.最后，基于压剪作用下翼裂纹起裂角试验结果对该准则的合理性进行了初步验证，结果说明考虑裂隙变形参数是有必要的.

关键词: T应力, 裂隙变形参数, 岩体压剪断裂准则, Kolossoff-Muskhelishvilli应力函数, 翼裂纹起裂角

Abstract:

For the mechanical characteristic of the crack surface closure and friction sliding under compression?shear load， Kolossoff-Muskhelishvilli stress function of the cracked rockmass subjected to compression and shear load is firstly established based on Muskhelishvili complex function theory. Then the calculation formulae of the stress intensity factor K and three T-stress components at the crack tip considering three kinds of crack parameters （namely geometry parameter， friction strength parameter and deformation parameter） are proposed. Secondly， a revised maximum tangential stress criterion is obtained by incorporating T-stress at the crack tip and three kinds of crack parameters into the classic maximum tangential stress（MTS） criterion. Meanwhile this proposed criterion assumes that the crack deformation parameter such as crack normal and shear stiffness is not a constant and is closely related to the stress characteristic on the crack face. Additionally， the crack deformation parameters for different crack dip angles are given. Finally， the experiment results of the wing?crack initiation angle under compression and shear load are adopted to preliminarily valid the revised criterion. It indicates that it is necessary to consider the crack deformation parameter.

Key words: T-stress, crack deformation parameter, compression?shear fracture criterion for the rockmass, Kolossoff-Muskhelishvilli stress function, wing?crack initiation angle

中图分类号:

TU 443

刘红岩, 祝凤金, 周月智, 郑秀华. 考虑T应力及裂隙参数的岩体压剪断裂准则[J]. 东北大学学报（自然科学版）, 2024, 45(6): 874-882.

Hong-yan LIU, Feng-jin ZHU, Yue-zhi ZHOU, Xiu-hua ZHENG. Compression-Shear Fracture Criterion for the Rockmass Considering T-Stress and Crack Parameter[J]. Journal of Northeastern University(Natural Science), 2024, 45(6): 874-882.

图/表 5

图1 单轴压缩下的裂隙岩体试件及裂隙尖端应力场

Fig.1 Cracked rockmass sample under uniaxial compression and the stress field at the crack tip

图2 单轴压缩下的裂隙试件

Fig.2 Cracked sample under uniaxial compression

图3 包含接触裂隙L的闭合曲线C

Fig.3 Closed curve C including the contact crack L

表1 PMMA试件物理力学参数[27]

Table 1 Physical and mechanical parameters of PMMA sample[27]

E/GPa	v	r_c/mm	2a/mm	f	γ
3.16	0.32	0.01	4	0.15	0.1

图4 翼裂纹起裂角理论值与试验值的比较

Fig.4 Comparison of the wing?crack initiation angle between the theoretical results and test ones

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考虑T应力及裂隙参数的岩体压剪断裂准则

Compression-Shear Fracture Criterion for the Rockmass Considering T-Stress and Crack Parameter

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