理论与试验研究

横观各向同性板岩的三轴压缩损伤本构模型

  • 贾健 ,
  • 陶铁军 ,
  • 田兴朝 ,
  • 谢财进 ,
  • 李国庆
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  • 1.贵州大学 土木工程学院,贵阳 550025;
    2.贵州大学 矿业学院,贵阳 550025
贾健(1998—),男,贵州毕节人,硕士生,主要从事岩土工程、隧道工程领域的科研工作。E-mail:guidajiajian@163.com
陶铁军(1984—),男,贵阳人,博士,教授,主要从事岩土工程、隧道工程、爆破工程等领域的研究工作。E-mail:tjtao@gzu.edu.cn

收稿日期: 2024-06-15

  网络出版日期: 2025-05-06

基金资助

贵州省高层次创新型人才(百层次)(黔科合平台人才-GCC[2022]004-1);贵州省创新人才团队(黔科合平台人才-CXTD[2022]010);贵州省科技厅科技支撑计划项目(黔科合支撑[2023]一般120)

Triaxial Compression Damage Constitutive Model of Transversely Isotropic Slate

  • Jia Jian ,
  • Tao Tiejun ,
  • Tian Xingchao ,
  • Xie Caijin ,
  • Li Guoqing
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  • 1. School of Civil Engineering, Guizhou University, Guiyang 550025, China;
    2. College of Mining, Guizhou University, Guiyang 550025, China

Received date: 2024-06-15

  Online published: 2025-05-06

摘要

为探究层理板岩在三轴压缩荷载作用下的力学性能和损伤演化规律,将层理结构面显著的板岩看作由包含微观缺陷的岩块、节理面闭合元件和剪切变形元件串联而成的复合岩体。考虑层理结构面的闭合和剪切滑移变形对层理岩石试样轴向变形的影响,结合统计损伤力学理论建立三轴压缩荷载下层理板岩的损伤本构模型,并开展三轴压缩试验验证模型的准确性。结果表明:建立的损伤本构模型可以准确地描述层理板岩应力–应变曲线的压密段和弹性段;层理倾角在0°到90°变化时层理板岩的强度和变形能力整体呈现U形分布,60°时呈现最小值;随着倾角的增加其破坏类型由张剪复合破坏向剪切滑移破坏发展,90°时为劈裂张拉破坏;损伤演化曲线整体呈现S形分布规律。

本文引用格式

贾健 , 陶铁军 , 田兴朝 , 谢财进 , 李国庆 . 横观各向同性板岩的三轴压缩损伤本构模型[J]. 地下空间与工程学报, 2025 , 21(2) : 393 -402 . DOI: 10.20174/j.JUSE.2025.02.04

Abstract

To explore the mechanical properties and damage evolution law of bedded slate under a triaxial compression load. The slate with apparent bedding structural plane is a composite rock mass formed by a series of connections of common plane closing element and shear deformation element of rock block containing microscopic defects. Considering the influence of closure of bedding structural plane and shear slip deformation on axial deformation of bedding rock specimen, the damage constitutive model of bedding slate under triaxial compression load is given, and the accuracy of the damage constitutive model is verified by triaxial compression test. The results show that the establishment of the damage constitutive model can accurately describe the compaction section and elastic section of the stress-strain curve of bedding slate ;When the bedding dip angle changes from 0° to 90°, the strength and deformation capacity of the bedding slate show a U-shaped distribution as a whole, and the minimum value appears at 60°; With the increase of dip angle, the failure type develops from tensile-shear composite failure to shear-slip failure, and it is splitting tensile failure at 90°; The damage evolution curve shows an overall S-shaped distribution law.

参考文献

[1] 陈晔磊,李地元,王立川,等.横观各向同性板岩三轴力学特性及其本构模型[J].铁道科学与工程学报,2023,20(2):661-670.(Chen Yelei, Li Diyuan, Wang Lichuan, et al. Triaxial mechanical properties and constitutive model of transversely isotropic slate [J]. Journal of Railway Science and Engineering, 2023,20 (2): 661-670.(in Chinese))
[2] 陶志刚,罗森林,李梦楠,等.层状板岩隧道大变形控制参数优化数值模拟分析及现场试验[J].岩石力学与工程学报,2020,39(3):491-506.(Tao Zhigang, Luo Forest, Li Mengnan, etc. Numerical simulation analysis and field test of significant deformation control parameters optimization of layered slate tunnel [J]. Chinese journal of rock mechanics and engineering, 2020,39 (3): 491-506.(in Chinese))
[3] 程刚,龚伦,俞景文,等.高海拔板岩隧道大变形特性及控制技术研究[J].地下空间与工程学报,2020,16(增2):744-751.(Cheng Gang, Gong Lun, Yu Jingwen, et al. Study on large deformation characteristics and control technology of high altitude slate [J]. Chinese Journal of Underground Space and Engineering, 2020, 16 (Supp.2): 744-751.(in Chinese))
[4] 张海太,任高攀,万志文,等.薄层炭质板岩地层隧道围岩大变形特征及支护方法研究[J].地下空间与工程学报,2020,16(增1):457-464. (Zhang Haitai, Ren Gaopan, Wan Zhiwen, etc. Study on large deformation characteristics and support of surrounding rock in thin carbonaceous slate stratum [J]. Chinese Journal of Underground Space and Engineering, 2020, 16 (Supp.1): 457-464.(in Chinese))
[5] 张青宇,李忠爽,卢宇.尼泊尔某电站板岩强度各向异性特征研究[J].地下空间与工程学报,2021,17(增2):560-562,622.(Zhang Qingyu, Li Zhongshuang, Lu Yu. Study on strength anisotropy characteristics of slate in a power station in Nepal [J]. Chinese Journal of Underground Space and Engineering, 2021, 17 (Supp.2): 560-562,622.(in Chinese))
[6] 李二强,张龙飞,赵宁宁,等.风化作用下层状板岩I型断裂特性试验研究[J].中南大学学报(自然科学版),2022,53(4):1406-1415.(Li Erqiang, Zhang Longfei, Zhao Ningning, et al. Experimental study on type I fracture characteristics of layered slate under weathering [J].Journal of Central South University (Natural Science Edition ),2022,53 (4): 1406-1415.(in Chinese))
[7] 李二强,冯吉利,朱天宇,等.基于数字图像相关方法的层状板岩Ⅰ型断裂特性研究[J].采矿与安全工程学报,2021,38(5):979-987.(Li Erqiang, Feng Jili, Zhu Tianyu, et al. Study on type I fracture characteristics of layered slate based on digital image correlation method [J]. Journal of Mining and Safety Engineering, 2021, 38 (5): 979-987.(in Chinese))
[8] 李二强,冯吉利,张龙飞,等.水–岩及风化作用下层状炭质板岩巴西劈裂试验研究[J].岩土工程学报,2021,43(2):329-337.(Li Erqiang, Feng Jili, Zhang Longfei, et al. Brazilian splitting test of layered carbonaceous slate under water-rock and weathering effects [J]. Chinese Journal of Geotechnical Engineering, 2021,43 (2): 329-337.(in Chinese))
[9] 孙博,任富强,刘冬桥.基于声发射多重分形特征的层状板岩失稳前兆研究[J].岩土力学,2022,43(3):749-760.(Sun Bo, Ren Fuqiang, Liu Dongqiao. Study on instability precursor of layered slate based on acoustic emission multifractal characteristics [J]. Rock and Soil Mechanics, 2022,43 (3): 749-760.(in Chinese))
[10] 刘运思,何楚韶,傅鹤林,等.层状板岩动静拉伸力学特性及破坏模式研究[J].铁道科学与工程学报,2020,17(11):2789-2797.(Liu Yunsi, He Chushao, Fu Helin, et al. Study on dynamic and static tensile mechanical properties and failure mode of layered slate [J].Railway Science and Engineering Journal, 2020,17(11): 2789-2797.(in Chinese))
[11] 刘运思,何楚韶,王世鸣,等.冲击荷载下层状板岩拉伸破坏及能耗规律研究[J].应用力学学报,2021,38(4):1373-1382.(Liu Yunsi, He Chushao, Wang Shiming, et al. Study on tensile failure and energy consumption of layered slate under impact load [J]. Chinese Journal of Applied Mechanics, 2021,38 (4): 1373-1382.(in Chinese))
[12] 胡涛涛,康志斌,陈建勋,等.含软弱夹层炭质板岩单轴压缩力学行为模拟研究[J].应用力学学报,2021,38(4):1580-1587.(Hu Taotao, Kang Zhibin, Chen Jianxun, et al. Simulation study on uniaxial compressive mechanical behavior of carbonaceous slate with weak interlayer [J]. Chinese Journal of Applied Mechanics, 2021,38 (4): 1580-1587.(in Chinese))
[13] 许婧璟,江权,唐旭海,等.基于原子力显微镜的板岩杨氏模量宏微观跨尺度表征方法研究[J].岩土力学,2022,43(增1):245-257.(Xu Jingjing, Jiang Quan, Tang Xuhai et al. Study on the macroscopic and microscopic cross-scale characterization method of Young's modulus of slate based on atomic force microscope [J].Rock and Soil Mechanics, 2022,43 (Supp.1): 245-257.(in Chinese))
[14] 祝艳波,张宇轩,李文杰,等.粗糙度对硅质板岩–泥岩界面强度与变形特性影响试验研究[J].岩石力学与工程学报,2022,41(7):1358-1372.(Zhu Yanbo, Zhang Yuxuan, Li Wenjie, et al. Experimental study on the effect of roughness on the strength and deformation characteristics of siliceous slate-mudstone interface [J]. Chinese journal of rock mechanics and engineering, 2022,41 (7): 1358-1372.(in Chinese))
[15] Gholami R, Rasouli V. Mechanical and elastic properties of transversely isotropic slate[J]. Rock Mechanics and Rock Engineering, 2014, 47(5): 1763-1773.
[16] Ding C D, Hu D W, Zhou H, et al. Investigations of P-Wave velocity, mechanical behavior and thermal properties of anisotropic slate[J]. International Journal of Rock Mechanics and Mining Sciences, 2020, 127:104176.
[17] Chen Y L, Xiao P, Du X, et al. Study on damage statistical constitutive model of triaxial compression of acid-etched rock under coupling effect of temperature and confining pressure[J]. Materials, 2021, 14(23):7414.
[18] Chen Y F, Lin H, Wang Y X, et al. Statistical damage constitutive model based on the Hoek-Brown criterion[J]. Archives of Civil and Mechanical Engineering, 2021, 21(3):117.
[19] Zhou C T, Murat K, Xu C S, et al. A new damage model accounting the effect of joint orientation for the jointed rock mass[J]. Arabian Journal of Geosciences, 2020, 13(7):295.
[20] Fu H L, Zhang J B, Huang Z, et al. A statistical model for predicting the triaxial compressive strength of transversely isotropic rocks subjected to freeze-thaw cycling[J]. Cold Regions Science and Technology, 2018, 145: 237-248.
[21] Li X, Cao W G, Su Y H. A statistical damage constitutive model for softening behavior of rocks[J]. Engineering Geology, 2012, 143-144: 1-17.
[22] Li H Z, Liao H J, Xiong G D, et al. A three-dimensional statistical damage constitutive model for geomaterials[J]. Journal of Mechanical Science and Technology, 2015, 29(1): 71-77.
[23] Liu Y S, Qiu Z Z, Zhan X C, et al. Study of statistical damage constitutive model of layered composite rock under triaxial compression[J]. Applied Mathematics and Nonlinear Sciences, 2021, 6(2): 299-308.
[24] 刘红岩,吕淑然,张力民.基于组合模型法的贯通节理岩体动态损伤本构模型[J].岩土工程学报,2014,36(10):1814-1821.(Liu Hongyan, Lv Shuran, Zhang Limin. Dynamic damage constitutive model of penetrating jointed rock mass based on combined model method [J].Chinese Journal of Geotechnical Engineering, 2014,36 (10): 1814-1821. (in Chinese))
[25] Yang J M, Zhang Y H, Li Q W, et al. Dynamic constitutive model of penetrating jointed rock mass based on ZTW model[J]. IOP Conference Series: Earth and Environmental Science, 2019, 237(3):032110.
[26] 赵怡晴,刘红岩,吕淑然,等.基于变形元件的节理岩体三轴压缩损伤本构模型[J].中南大学学报(自然科学版),2015,46(3):991-996.(Zhao Yiqing, Liu Hongyan, Lv Shuran, et al. Constitutive model of triaxial compression damage of jointed rock mass based on deformation elements [J]. Journal of Central South University ( Natural Science Edition), 2015,46 (3): 991-996.(in Chinese))
[27] 屈小七,孟陆波,郝晨旭,等.不同围压和层理下板岩三轴蠕变试验及损伤模型研究[J].水利水电技术,2020,51(8):159-167.(Qu Xiaoqi, Meng Lubo, Hao Chenxu, et al. Study on triaxial creep test and damage model of slate under different confining pressure and bedding [J].Water Resources and Hydropower Engineering, 2020,51 (8): 159-167.(in Chinese))
[28] 史越,傅鹤林,伍毅敏,等.层状岩石单轴压缩损伤本构模型研究[J].华中科技大学学报(自然科学版),2020,48(9):126-132.(Shi Yue, Fu Helin, Wu Yimin, et al. Study on uniaxial compression damage constitutive model of layered rock [J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2020, 48 (9): 126-132.(in Chinese))
[29] 孙广忠,孙毅.岩体力学原理[M]. 北京:科学出版社,2011: 51-59.(Sun Guangzong, Sun Yi. Principle of rock mass mechanics[M].Beijing: Science Press, 2011: 51-59.(in Chinese))
[30] Alejano L R, González-Fernández M A, Estévez-Ventosa X, et al. Anisotropic deformability and strength of slate from NW-Spain[J]. International Journal of Rock Mechanics and Mining Sciences, 2021, 148:104923.
[31] 张明,王菲,杨强.基于三轴压缩试验的岩石统计损伤本构模型[J].岩土工程学报,2013,35(11):1965-1971. (Zhang Ming, Wang Fei, Yang Qiang. Statistical damage constitutive model of rock based on triaxial compression test [J]. Chinese Journal of Geotechnical Engineering, 2013,35 (11): 1965-1971.(in Chinese))
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