岩石广义非线性统一强度理论

昝月稳; 俞茂宏

doi:10.3969/j.issn.0258-2724.2013.04.005

岩石广义非线性统一强度理论

doi: 10.3969/j.issn.0258-2724.2013.04.005

昝月稳¹,
俞茂宏²

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- 文章访问数: 991
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- 被引次数: 0
出版历程
- 收稿日期: 2012-09-06
- 刊出日期: 2013-08-25

Generalized Nonlinear Unified Strength Theory of Rock

ZAN Yuewen¹,
YU Maohong²

摘要

摘要: 广义Hoek-Brown强度准则广泛用于岩石工程,但其没有考虑中间主应力效应.为此,根据双剪模型和广义Hoek-Brown强度准则,建立了广义非线性统一强度理论.该理论的极限面覆盖了全部外凸区域,构成岩石材料在主应力空间的全部极限面,广义Hoek-Brown强度准则和岩石广义非线性双剪强度准则是其特例.广义非线性统一强度理论的内边界是广义Hoek-Brown强度准则,外边界是岩石广义非线性双剪强度准则,其间是一系列新的极限面.广义非线性统一强度理论可以将统一屈服准则、统一强度理论、岩石非线性统一强度理论联系在一起.
- 岩石强度理论 /
- 双剪模型 /
- 统一强度理论 /
- 广义Hoek-Brown强度准则
Abstract: The generalized Hoek-Brown strength criterion is used widely in rock engineering. The effect of the intermediate principal stress, however, is not taken into account in the Hoek-Brown criterion. The twin-shear models and the generalized Hoek-Brown strength criterion were generalized and combined into a generalized nonlinear unified strength theory. The serial limit surfaces of the generalized nonlinear unified strength theory cover the whole convex region, and encompasses the generalized Hoek-Brown strength criterion and the generalized nonlinear twin shear strength criterion as two special cases. In the stress space, the inner bound of limit surface of the generalized nonlinear unified strength theory is the generalized Hoek-Brown strength criterion, and the outer bound is the generalized twin shear strength criterion. A series of new limit surfaces cover the all region between these two bounds. As a result, the unified yield criterion, the unified strength theory, the rock nonlinear unified strength theory can be linked with the generalized nonlinear unified strength theory.
- rock strength theory /
- twin shear model /
- unified strength theory /
- generalized Hoek-Brown strength criterion

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参考文献(42)

张雪颖,阮怀宁,梁培新,等. 基于粒子群算法的多剪强度准则研究[J]. 武汉理工大学学报,2010,32(14): 153-158. ZHANG Xueying, RUAN Huaining, LIANG Peixin, et al. Research on mutil-shear strength criterion based on partical swarm optimization[J]. Journal of Wuhan University of Technology, 2010, 32(14): 153-158.

ANDREEV G. Brittle failure of rock materials[M]. Rotterdam: A. A. Balkema, 1995: 15-64.

SHEOREY P R. Empirical rock failure criteria[M]. Rotterdam: A. A. Balkema, 1997: 1-200.

HOEK E, BROWN E T. Empirical strength criterion for rock masses[J]. Journal of Geotechnical Engineering Division, 1980, 106: 1013-1035.

HOEK E, BROWN E T. Practical estimates of rock mass strength[J]. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(8): 1165-1186.

俞茂宏. 双剪理论及其应用[M]. 北京: 科学出版社,1998: 249-282.

俞茂宏. 强度理论新体系:理论、发展和应用[M]. 2版. 西安: 西安交通大学出版社,2011: 75-95.

昝月稳. 岩石非线性统一强度理论及其在岩体工程中应用[D]. 西安:西安交通大学建筑工程与力学学院,2001.

昝月稳,俞茂宏,吉嶺充俊. 一种适合于岩石材料的双剪模型[J]. 工程地质学报,2004,12(3): 274-279. ZAN Yuewen, YU Maohong, YOSHIMINE M. A twin-shear model for rock materials[J]. Journal of Engineering Geology, 2004, 12(3): 274-279.

崔科宇,章敏,王星华. 嵌岩桩桩端极限承载力的研究[J]. 中国铁道科学,2010,31(2): 1-5. CUI Keyu, ZHANG Min, WANG Xinghua. Research on the ultimate bearing capacity of rock socketed pile end[J]. China Railway Science, 2010, 31(2): 1-5.

HOEK E, CARRANZA T S, CORKUM B. Hoek-Brown failure criterion-2002 edition[C]//Proceedings of the Fifth North American Rock Mechanics Symposium (NARMS-TAC). Toronto: University of Toronto Press, 2002: 267-273.

SINGH B, GOEL R K, MEHROTRA V K, et al. Effect of intermediate principal stress on strength of anisotropic rock mass[J]. Tunnelling and Under-ground Space Technology, 1998, 13(1): 71-79.

昝月稳,俞茂宏,王思敬. 岩石非线性统一强度准则[J]. 岩石力学与工程学报,2002,21(10): 1435-1441. ZAN Yuewen, YU Maohong, WANG Sijing. Nonlinear unified strength criterion of rock[J]. Chinese Journal of Rock Mechanics and Engineering, 2002, 21(10): 1435-1441.

YU Maohong, ZAN Yuewen, ZHAO Jian, et al. A unified strength criterion for rock material[J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(8): 975-989.

俞茂宏,昝月稳,李建春. 统一强度理论角点奇异性的统一处理[J]. 岩石力学与工程学报,2000,19(增刊): 849-852. YUE Maohong, ZAN Yuewen, LI Jianchun. Unified manner to eliminate the corner singularity of unified strength theory[J]. Chinese Journal of Rock Mechanics and Engineering, 2000, 19(Sup.): 849-852.

昝月稳,俞茂宏. 岩石非线性统一弹塑性模型[J]. 矿山压力与顶板管理,2005,22(3): 49-54. ZAN Yuewen, YU Maohong. An elastoplastic model of the rock nonlinear unified strength theory[J]. Ground Pressure and Strata Control, 2005, 22(3): 49-54.

KUMAR P. Shear failure envelope of Hoek-Brown criterion for rock mass[J]. Tunnelling and Underground Space Technology, 1998, 13(4): 453-458.

YOSHIDA N, MORGENSTERN N R, CHAN D H. A failure criterion for stiff soils and rock exhibiting softening[J]. Candian Geotechical Journal, 1990, 27(2): 195-202.

栗红玉. 预应力锚索侧阻力分布规律的研究及应用[D]. 长沙:中南大学资源与安全工程学院,2010.

苗立. 基于统一强度理论在地下工程中力学性质研究[D]. 重庆:重庆交通大学土木建筑学院,2009.

马黎明,李夕兵,栗红玉,等. 基于非线性统一强度理论的锚索极限抗拔力的计算[J]. 矿业研究与开发,2012,32(2): 108-112. MA Liming, LI Xibing, LI Hongyu, et al. Calculation of ultimate pullout force of cable based on nonlinear unified strength criterion[J]. Mining Research and Development, 2012, 32(2): 108-112.

张雪颖,阮怀宁. 新非线性强度准则在岩石材料中的应用[J]. 煤炭学报,2011,36(8): 1264-1269. ZHANG Xueying, RUAN Huaining. Application of new nonlinear strength criterion to rock materials[J]. Journal of China Coal Society, 2011, 36(8): 1264-1269.

周小平,钱七虎,杨海清. 深部岩体强度准则[J]. 岩石力学与工程学报,2008,27(1): 117-123. ZHOU Xiaoping, QIAN Qihu, YANG Haiqing. Strength criteria of deep rock mass[J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(1): 117-123.

周小平,张永兴,王建华. 节理岩体圆形隧道滑动区的研究[J]. 岩土力学,2004,25(11): 139-143. ZHOU Xiaoping, ZHANG Yongxing, WANG Jianhua. Study on slip zones around circular cavities on crack-weakened rock masses based on nonlinear unified strength criterion[J]. Rock and Soil Mechanics, 2004, 25(11): 139-143.

周小平,张永兴. 节理岩体地基极限承载力研究[J]. 岩土力学,2004,25(8): 1254-1258. ZHOU Xiaoping, ZHANG Yongxing. Research on ultimate load bearing capacity of foundation of jointed rock masses[J]. Rock and Soil Mechanics, 2004, 25(8): 1254-1258.

周小平,张永兴. 基于非线性统一强度理论的裂隙岩体圆形隧道扩张问题的弹塑性研究[J]. 应用力学学报,2006,23(3): 373-376. ZHOU Xiaoping, ZHANG Yongxing. Analysis to slip zones around circular cavities in cracked rock masses following general nonlinear unified strength criterion[J].Chinese Journal of Applied Mechanics, 2006, 23(3): 373-376.

张斌伟,严松宏,吕亮,等. 基于岩石非线性统一强度理论的地下洞室弹塑性分析[J]. 兰州交通大学学报:自然科学版,2007,26(6): 25-28. ZHANG Binwei, YAN Songhong, LV Liang, et al. Elastic-plastic analysis of circular tunnel based on the nonlinear unified strength theory of rock[J]. Journal of Lanzhou Jiaotong University: Natural Sciences, 2007, 26(6): 25-28.

ZHANG Changguang, ZHANG Qinghe, ZHAO Junhai, et al. Unified analytical solutions for a circular opening based on non-linear unified failure criterion[J]. Journal of Zhejiang University, Science A: Applied Physics & Engineering, 2010, 11(2): 71-79.

张斌伟,严松宏,李平. 考虑围岩非线性和剪胀特性的地下硐室极限解[J]. 地下空间与工程学报,2012,8(3): 473-479. ZHANG Binwei, YAN Songhong, LI Ping. Limit solution of underground chamber considering non-linear softening and dilatancy of surrounding rock[J]. Chinese Journal of Underground Space and Engineering, 2012, 8(3): 473-479.

师林,朱大勇,沈银斌. 基于非线性统一强度理论的节理岩体地基承载力研究[J]. 岩土力学,2012,33(增刊2): 371-376. SHI Lin, ZHU Dayong, SHEN Yinbin. Study of foundation bearing capacity of joined rock masses based on nonlinear unified strength theory[J]. Rock and Soil Mechanics, 2012, 33(Sup.2): 371-376.

MORTARA G. A new yield and failure criterion for geomaterial[J]. Geotechnique, 2008, 58(2): 125-132.

俞茂宏. 线性和非线性统一强度理论[J]. 岩石力学与工程学报,2007,26(4): 662-669. YU Maohong. Linear and nonlinear unified strength theory[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(4): 662-669.

昝月稳,俞茂宏,赵坚,等. 高应力状态下岩石非线性统一强度理论[J]. 岩石力学与工程学报,2004,23(13): 849-852. ZAN Yuewen, YU Maohong, ZHAO Jian, et al. Nonlinear unified strength theory of rock under high stress state[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(13): 2143-2148.

沈珠江. 关于破坏准则和屈服函数的总结[J]. 岩土工程学报,1995,17(1): 1-8. SHEN Zhujiang. Summary of the failure criteria and yield function[J]. Chinese Journal of Geotechnical Engineering, 1995, 17(1): 1-8.

PAN X D, HUDSON J A. A simplified three-dimen-sional Hoek-Brown yield criterion[C]//ROMANA M. Rock Mechanics and Power Plants. Rotterdam: A.A. Balkema, 1988: 95-103.

PRIEST S D. Determination of shear strength and three dimensional yield strength for the Hoek-Brown criterion[J]. Rock Mechanics and Rock Engineering, 2005, 38(4): 299-327.

MELKOUMIAN N, PRIEST S D, HUNT S P. Further development of the three dimensional Hoek Brown yield criterion[J]. Rock Mechanics and Rock Engineering, 2009, 42(6): 835-847.

ZHANG Lianyang, ZHU Hehua. Three dimensional Hoek Brown strength criterion for rocks[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2007, 133(9): 1128-1135.

EBERHARDT E. The Hoek-Brown failure criterion[J]. Rock Mechanics and Rock Engineering, 2012, 45(6): 981-988.

ZHANG L. A generalized three dimensional Hoek Brown strength criterion[J]. Rock Mechanics and Rock Engineering, 2008, 41(6): 893-915.

ZHANG Qi, ZHU Hehua, ZHANG Lianyang. Modification of a generalized three dimensional Hoek-Brown strength criterion[J]. International Journal of Rock Mechanics and Mining Sciences, 2013, 59(4): 80-96.

JIANG Hua, XIE Yongli. A new three dimensional Hoek-Brown strength criterion[J]. Acta Mechanica Sinica, 2012, 28(2): 393-406.

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文章访问数: 991
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岩石广义非线性统一强度理论

doi: 10.3969/j.issn.0258-2724.2013.04.005

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出版历程

Generalized Nonlinear Unified Strength Theory of Rock

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出版历程

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