一种考虑主应力空间特性的岩石强度准则

doi:10.13722/j.cnki.jrme.2023.0693

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Abstract Based on the existing theories and experimental conclusions on the spatial damage surface characteristics of the principal stresses of rock materials，and in response to the problem that the conventional strength criterion has many parameters and the physical significance is not clear， it is put forward that there exists a strength curve in the bi-directional isotropic tensile stress point with the point of view that d(?1－?3)/d?m = 3， by analyzing the characteristics of the change of the conventional triaxial compressive strength curves in the bi-directional isotropic tensile stress point(0，?tt，?tt). Meanwhile，a hyperbolic-type strength criterion containing two parameters of two-way isotropic tensile strength ?tt and three-way isotropic tensile strength ?ttt is established，which takes into account both the average stress effect on the strength curves on the meridian and the π-plane，and the parameters have clear physical meanings. In order to verify its reasonableness and applicability，the strength criterion was utilized to fit and calculate the triaxial test data of 14 types of rocks in the published literature，and compared and analyzed with Burzynski?s parabolic criterion and You Mingqing?s exponential criterion，which have higher fitting accuracy. The results show that the fitting effect of this criterion is better for both conventional triaxial test data and true triaxial test data，with the correlation coefficients above 0.99，and the sizes of the fitted bidirectional isotropic tensile strengths ?tt and the three-directional isotropic tensile strengths ?ttt are in a reasonable range；at the same time，the fitting results under different constraints corroborate the idea that there exists d(?1－?3)/d?m = 3 at the bidirectional equal tensile stress points(0，?tt，?tt). It shows that the criterion is reasonable and applicable，and can provide some practical guidance value for the field of rock engineering.

Key words： rock mechanics principal stress space strength criterion bidirectional equal tensile stress point hyperbolic curve average stress effect

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	Articles by authors
	HUANG Jiajun1
	LI Bin2
	WANG Peng2

Cite this article:

HUANG Jiajun1,LI Bin2,WANG Peng2. A rock strength criterion considering spatial properties of principal stresses[J]. , 2024, 43(1): 157-169.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2023.0693 OR https://rockmech.whrsm.ac.cn/EN/Y2024/V43/I1/157

[1]	丁兴发，吴霞，向平，等. 混凝土与各向同性岩石强度理论研究进展[J]. 工程力学，2020，37(2)：1-15.(DING Faxing，WU Xia，XIANG Ping，et al. Reviews on strength theories of concrete and isotropic rock[J]. Engineering Mechanics，2020，37(2)：1-15.(in Chinese))
[2]	姚仰平，路德春，周安楠，等. 广义非线性强度理论及其变换应力空间[J]. 中国科学E辑：工程科学材料科学，2004，34(11)：1 283-1 299.(YAO Yangping，LU Dechun，ZHOU Annan，et al. Generalized nonlinear strength theory and its transformation stress space[J]. Science in China Series E：Engineering Science Materials Science，2004，34(11)：1 283-1 299.(in Chinese))
[3]	任政. 混凝土真三轴力学性能试验与本构理论研究[硕士学位论文][D]. 南京：东南大学，2018.(REN Zheng. Experimental research on the true triaxial mechanical properties and constitutive theory of concrete[M. S. Thesis][D]. Nanjing：Southeast University，2018.(in Chinese))
[4]	丁发兴，吴霞，向平，等. 多类混凝土和各向同性岩石损伤比强度准则[J]. 土木工程学报，2021，54(2)：50-64.(DING Faxing，WU Xia，XIANG Ping，et al. Damage ratio strength criterion for various types of concrete and isotropic rock[J]. China Civil Engineering Journal，2021，54(2)：50-64.(in Chinese))
[5]	张培森，许大强，颜伟，等. 不同围压下峰后循环载荷对砂岩力学及渗流特性的影响研究[J]. 煤炭科学技术，2023，51(7)：94-105.(ZHANG Peisen，XU Daqiang，YAN Wei，et al. Effect of post-peak cyclic load on mechanics and seepage characteristics of sandstone under different confining pressures[J]. Coal Science and Technology，2023，51(7)：94-105.(in Chinese))
[6]	谢和平，高明忠，付成行，等. 深部不同深度岩石脆延转化力学行为研究[J]. 煤炭学报，2021，46(3)：701-715.(XIE Heping，GAO Mingzhong，FU Chenghang，et al. Mechanical behavior of brittle-ductile transition in rocks at different depths[J]. Journal of China Coal Society，2021，46(3)：701-715.(in Chinese))
[7]	李庆辉，李少轩. 超深层砂岩储层岩石力学特性实验研究[J]. 岩石力学与工程学报，2021，40(5)：948-957.(LI Qinghui，LI Shaoxuan. Experimental study on mechanical properties of ultra-deep sandstone[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(5)：948-957.(in Chinese))
[8]	赵阳升. 岩体力学发展的一些回顾与若干未解之百年问题[J]. 岩石力学与工程学报，2021，40(7)：1 297-1 336.(ZHAO Yangsheng. Retrospection on the development of rock mass mechanics and the summary of some unsolved centennial problems[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(7)：1 297-1 336.(in Chinese))
[9]	崔凯. 基于临界状态弹塑性理论的软岩本构模型研究及应用[博士学位论文][D]. 武汉：武汉科技大学，2022.(CUI Kai. Research and application of soft rock constitutive model based on critical state elastoplastic theory[Ph. D. Thesis][D]. Wuhan：Wuhan University of Science and Technology，2022.(in Chinese))
[10]	李斌，王大国，何治良，等. 三轴条件下岩石抗剪强度参数线性回归法的修正[J]. 岩土力学，2022，43(10)：2 689-2 697.(LI Bin，WANG Daguo，HE Zhiliang，et al. Modification of linear regression method for rock shear strength parameters under triaxial condition[J]. Rock and Soil Mechanics，2022，43(10)：2 689-2 697.(in Chinese))
[11]	BARTON N. The shear strength of rock and rock joints[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1976，(13)：255-279.
[12]	李斌，许梦国，刘艳章. 临界状态围压在岩石强度准则改进中的应用[J]. 岩土力学，2016，37(2)：390-398.(LI Bin，XU Mengguo，LIU Yanzhang. Application of critical state confining pressure to rock strength criteria modification[J]. Rock and Soil Mechanics，2016，37(2)：390-398.(in Chinese))
[13]	尤明庆. 围压对岩石试样强度的影响及离散性[J]. 岩石力学与工程学报，2014，33(5)：929-937.(YOU Mingqing. Effect of confining pressure on strength scattering of rock specimen[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(5)：929-937.(in Chinese))
[14]	过镇海. 混凝土的强度和变形[M]. 北京：清华大学出版社，1997：22-39.(GUO Zhenhai. Strength and deformation of concrete[M]. Beijing：Tsinghua University Press，1997：22-39.(in Chinese))
[15]	陈积光，陈乐求，童小龙. 一种特制混凝的双向拉伸强度试验研究[J]. 湖南科技大学学报：自然科学版，2017，32(2)：47-51.(CHEN Jiguang，CHEN Leqiu，TONG Xiaolong. Study on the biaxial tensile strength of special made concrete[J]. Journal of Hunan University of Science and Technology：Natural Science，2017，32(2)：47-51.(in Chinese))
[16]	杜景峰，吴强杰. 平面应力状态断裂强度的椭圆准则分析[J]. 应用数学和力学，2020，41(3)：292-301.(DU Jingfeng，WU Qiangjie. Elliptic criterion analysis of fracture strength in plane stress states[J]. Applied Mathematics and Mechanics，2020，41(3)：292-301.(in Chinese))
[17]	MAIR W M. Fracture criteria for cast iron under biaxial stresses[J]. The Journal of strain Analysis for Engineering Design，1968，3(4)：254-263.
[18]	黄家军. 各向同性材料均匀度强度理论[EB/OL]. 中国科技论文在线[2023-08-08]. http://www.paper.edu.cn/releasepaper/content/201405- 264.(HUANG Jiajun. Strength theory of homogeneity for isotropic materials[EB/OL]. Sciencepaper Online[2023-08-08]. http://www. paper.edu.cn/releasepaper/content/201405-264. (in Chinese))
[19]	姜玥，周辉，卢景景，等. 不同应力路径下灰砂岩力学特性与强度参数研究[J]. 岩石力学与工程学报，2019，38(4)：815-824.(JIANG Yue，ZHOU Hui，LU Jingjing. Study on mechanical properties and strength parameters of gray sandstone under different stress paths[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(4)：815-824.(in Chinese))
[20]	OUYANG Z，ELSWORTH D. A phenomenological failure criterion for brittle rock[J]. Rock Mechanics and Rock Engineering，1991，(24)：133-153.
[21]	BESUELLE P，DESRUES J，RAYNAUD S. Experimental characterization of the localization phenomenon inside a Vosges sandstone in a triaxial cell[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(8)：1 223-1 237.
[22]	MOGI K. Fracture and ?ow of rocks under high triaxial compression[J]. Journal of Geophysical Research，1971，76(5)：1 255-1 269.
[23]	BENZ T，SCHWAB R. A quantitative comparison of six rock failure criteria[J]. International Journal of Rock Mechanics and Mining Sciences，2008，45(7)：1 176-1 186.
[24]	李斌. 高围压条件下岩石破坏特征及强度准则研究[博士学位论文][D]. 武汉：武汉科技大学，2015.(LI Bin. Research on rock failure characteristics and strength criteria under high confining pressure conditions[Ph. D. Thesis][D]. Wuhan：Wuhan University of Science and Technology，2015.(in Chinese))
[25]	肖桃李，黄梅，李新平. 考虑围压效应的深埋大理岩强度变形特性研究[J]. 地下空间与工程学报，2018，14(2)：362-368.(XIAO Taoli，HUANG Mei，LI Xinping. Research on strength and deformation with marble of deep rock mass considering confining pressure effect[J]. Chinese Journal of Underground Space and Engineering，2018，14(2)：362-368.(in Chinese))
[26]	汪斌，朱杰兵，邬爱清. 高应力下岩石非线性强度特性的试验验证[J]. 岩石力学与工程学报，2010，29(3)：542-548.(WANG Bin，ZHU Jiebing，WU Aiqing. Experimental validation of nonlinear strength property of rock under high geostress[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(3)：542-548.(in Chinese))
[27]	CARTER B J，DUNCAN S E J，LAJTAI E Z. Fitting strength criteria to intact rock[J]. Geotechnical and Geological Engineering，1991，9(1)：73-81.
[28]	YOU M. Mechanical characteristics of the exponential strength criterion under conventional triaxial stresses[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(2)：195-204.
[29]	苏承东，付义胜. 红砂岩三轴压缩变形与强度特征的试验研究[J]. 岩石力学与工程学报，2014，33(增1)：3 164-3 169.(SU Chengdong，FU Yisheng. Experimental study of triaxial compression deformation and strength characteristics of red sandstone[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(Supp.1)：3 164-3 169.(in Chinese))
[30]	彭帅，张希巍，冯夏庭，等. 等向压缩及偏压加载下锦屏大理岩变形特性研究[J]. 岩土力学，2017，38(12)：3 532-3 539.(PENG Shuai，ZHANG Xiwei，FENG Xiating，et al. Deformation behavior of Jinping marble under isotropic compression and deviatoric stress loading conditions[J]. Rock and Soil Mechanics，2017，38(12)：3 532-3 539.(in Chinese))
[31]	MOGI K. Experimental rock mechanics[M]. London：Taylor and Francis，2007：11-16.
[32]	OTTOSEN N S. A failure criterion for concrete[J]. Journal of Engineering Mechanics，1977，103(4)：527-535.
[33]	尤明庆. 岩石指数型强度准则在主应力空间的特征[J]. 岩石力学与工程学报，2009，28(8)：1 541-1 551.(YOU Mingqing. Characteristics of exponential strength criterion of rock in principal stress space[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(8)：1 541-1 551.(in Chinese))
[34]	俞茂宏，彭一江. 强度理论百年总结[J]. 力学进展，2004，(4)：529-560.(YU Maohong，PENG Yijiang. Advances in strength theories for materials under complex stress state in the 20th century[J]. Advances in Mechanics，2004，(4)：529-560.(in Chinese))
[35]	YOU M. True-triaxial strength criteria for rock[J]. International Journal of Rock Mechanics and Mining Sciences，2009，46(1)：115-127.
[36]	MOGI K. Fracture and flow of rocks under high triaxial compression[J]. Journal of Geophysics Research，1971，76(5)：1 255-1 269.
[37]	HAIMSON B. True triaxial stresses and the brittle fracture of rock[J]. Pure and Applied Geophysics，2006，163(5/6)：1 101-1 130.