指数型岩石真三轴强度准则

张强; 李诚; 郭强; 闵明; 蒋斌松; 王延宁

doi:10.11779/CJGE201804006

指数型岩石真三轴强度准则 English Version

中国矿业大学力学与土木工程学院深部岩土力学与地下工程国家重点试验室,江苏徐州 221116;

基金项目: 国家自然科学基金项目（51204168,51374199）; 中国博士后基金项目（2013M531424,2015M580493）; 江苏省博士后基金项目（1301123C）

详细信息

作者简介:
张强(1982- ),男,2005年毕业于中国矿业大学土木工程专业,现任副教授,主要从事岩石力学与工程方面的科研与教学工作。E-mail: jakezhq@126.com。

中图分类号: TU452
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出版历程
- 收稿日期: 2016-12-08
- 发布日期: 2018-04-24

Exponential true triaxial strength criteria for rock

School of Mechanics and Civil Engineering, State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining & Technology, Xuzhou 221116, China;

摘要

摘要: 岩石强度是工程岩体稳定性评价和结构优化设计的前提和基础,通过岩石真三轴试验分析了岩石强度演变特征：①随着最小主应力的增加,岩石强度逐渐增大,但增幅逐渐减小并趋于零;②岩石广义压拉强度比随静水压力的增大呈先增大再减小的规律,并最终趋于1,即在π平面上呈三角形向圆形转变的过程;③岩石强度随中间主应力增大表现为先增大再减小的过程。三参数型指数函数完全符合岩石强度在子午面上的基本特点,而L_WW,L_MN和L_YMH 3个罗德函数准确反映了中间主应力对岩石强度的影响,且无条件满足拉压子午面区间光滑、连续、外凸性要求。利用π平面广义拉压强度比和罗德函数将指数型拉压子午面结合,构建了指数型真三轴强度准则,分析了强度参数对岩石强度的影响及其空间包络特征。最后采用14种岩石的真三轴试验数据对指数型真三轴强度准则进行了最优拟合误差分析,结果表明指数型真三轴强度准则均具有良好的拟合精度,可正确描述软-硬不同性质岩石的强度特征。
- 岩石 /
- 真三轴试验 /
- 子午面 /
- 罗德函数 /
- 强度准则
Abstract: The rock strength is the premise and foundation for stability evaluation of rock engineering and optimization design of structures. Based on the true triaxial test results, the evolution of rock strength are analyzed: (1) The rock strength increases with the minimum principal stress, however, its increasing amplitude gradually decreases and trends to be zero; (2) The ratio of generalized compression to the extension strength firstly increases then decreases, and finally tends to be one with the increasing minimum principal stress. The envelope of strength criteria on deviatoric plane varies from approximate triangle to circular; (3) During the process of the intermediate principal stress increasing from the minimum principal stress to the maximum one, the rock strength firstly increases and then decreases. The exponential function with three parameters satisfies the basic characteristics of rock strength on the meridian plane. And the Lode dependence functions of L_WW, L_MN and L_YMH well reflect the effect of the intermediate principal stress, and unconditionally satisfy the smooth, continuous and convex requirements. Then the exponential true triaxial strength criteria are proposed by combining the extension and compression meridian curves with the selected lode dependence functions. The influences of strength parameters and space characteristics are further analyzed. Finally, fourteen types of rock true triaxial test data are employed to validate the proposed criteria. The results show that the proposed exponential true triaxial strength criteria are of good accuray in predicting rock strength, and can well reflect different types of rock ranged from soft to hard.
- rock /
- true triaxial test /
- meridian plane /
- Lode dependence function /
- strength criterion

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参考文献(26)

[1]	何满潮. 深部岩体力学基础[M]. 北京: 科学出版社, 2010. (HE Man-chao.The basis of deep rock mechanics[M]. Beijing: Science Press, 2010. (in Chinese))
[2]	黄润秋, 黄达. 高地应力条件下卸荷速率对锦屏大理岩力学特性影响规律试验研究[J]. 岩石力学与工程学报, 2010, 29(1): 21-33. (HUANG Run-qiu, HUANG Da.Experimental research on affection laws of unloading rates on mechanical properties of Jinping marble under high geostress[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(1): 21-33. (in Chinese))
[3]	DRUCKER D C, PRAGER W.Soil mechanics and plastic analysis or limit design[J]. Quarterly of Applied Mathematics, 1952, 10: 157-164.
[4]	YOU M Q.True-triaxial strength criteria for rock[J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(1): 115-127.
[5]	李春光. 郑宏. 葛修润, 等. 双参数抛物型Mohr强度准则及其材料破坏规律研究[J]. 岩石力学与工程学报, 2005, 24(24): 4428-4433. (LI Chun-guang, ZHENG Hong, GE Xiu-run, et al.Research on two-parameter parabolic mohr strength criterion and its damage regularity[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(24): 4428-4433. (in Chinese))
[6]	SINGH M, SINGH B.Modified Mohr-Coulomb criterion for non-linear triaxial and polyaxial strength of jointed rocks[J]. International Journal of Rock Mechanics and Mining Sciences, 2012, 51: 43-52.
[7]	AL-AJMI A M, ZIMMERMAN R W. Relation between the Mogi and the Coulomb failure criteria[J]. International Journal of Rock Mechanics and Mining Sciences, 2005, 42(3): 431-439.
[8]	YU M H, HE L N.A new model and theory on yield and failure of materials under the complex stress state[C]// Jono M, Inoue T, eds. Mechanical Behavior of Materials-Ⅵ,(ICM-6). Oxford: Pergamon, 1991: 841-846.
[9]	ZHANG Q, WANG Shui-lin, GE X R, et al.Modified Mohr-Coulomb strength criterion considering rock mass intrinsic material strength factorization[J]. Mining Science and Technology, 2010, 20(5): 701-706.
[10]	LEE Y, PIETRUSZCZAK S, CHOI B.Failure criteria for rocks based on smooth approximations to Mohr-Coulomb and Hoek-Brown failure functions[J]. International Journal of Rock Mechanics and Mining Sciences, 2012, 56: 146-160.
[11]	ZHANG L, ZHU H.Three-dimensional Hoek-Brown strength criterion for rocks[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2007, 133(9): 1128-1135.
[12]	ZHANG Q, ZHU H, ZHANG L.Modification of a generalized three-dimensional Hoek-Brown strength criterion[J]. International Journal of Rock Mechanics and Mining Sciences, 2013, 59: 80-96.
[13]	BENZ T, SCHWAB R, KAUTHER R A, et al.A Hoek-Brown criterion with intrinsic material strength factorization[J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(2): 210-222.
[14]	JIANG H, WANG Xiao-wo, XIE Yong-li.New strength criteria for rocks under polyaxial compression[J]. Canada Geotechnique Journal, 2011, 48: 1233-1245.
[15]	DESCAMPS F.Study of the behavior of saturated porous rocks under great depth conditions[D]. Mons: The Faculty of Engineering, 2007.
[16]	HAIMSON B, CHANG CA new true triaxial cell for testing mechanical properties of rock, and its use to determine rock strength and deformability of Westerly granite[J]. International Journal of Rock Mechanics and Mining Science, 2000, 37: 285-296.
[17]	WILLIAM K J, WARNKE E P.Constitutive model for the triaxial behavior of concrete[C]// International Association for Bridge and Structural Engineering. Bergamo, 1975.
[18]	MATSUOKA H, NAKAI T.Stress-deformation and strength characteristics of soil under three different principal stress[J]. Doboku Gakkai Ronbunshu, 1974: 232: 59-70.
[19]	俞茂宏. 双剪理论及其应用[M]. 北京: 科学出版社, 1998. (YU Mao-hong.Twin-shear theory and its application[M]. Beijing: Science Press, 1998. (in Chinese))
[20]	MOGI K.Experimental rock mechanics[M]. Balkema: Taylor & Francis, 2006.
[21]	CHANG Chan-dong, BEZALEL H.True triaxial strength and deformability of the German Continental Deep Drilling Program (KTB) deep hole amphibolites[J]. Journal of Geophysical Research, 2000, 105(B8): 18999-19013.
[22]	PAUL MICHELIS A M. Polyaxial yielding of granular rock[J]. Journal of Engineering Mechanics, 2011, 111(8): 1049-1066.
[23]	HAIMSON B, CHANG C.A new true triaxial cell for testing mechanical properties of rock,and its use to determine rock strength and deformability of Westerly granite[J]. International Journal of Rock Mechanics and Mining Sciences, 2000, 37: 285-296.
[24]	TAKAHASHI M, KOIDE H.Effect of the intermediate principal stress on strength and deformation behavior of sedimentary rocks at the depth shallower than 2000 m[C]// ISRM International Symposium Rock Mechanics. Pau, 1989: 19-26.
[25]	WANG R, KEMENY J M.A new empirical criterion for rock under polyaxial compressive stresses[C]// The 35th US Symposium on Rock Mechanics. Reno, 1995: 453-458.
[26]	TANAPOL S, CHAOWARIN W, KITTITEP F.True-triaxial compressive strength of Maha Sarakham salt[J]. International Journal of Rock Mechanics and Mining Sciences, 2013, 61: 256-265.