|
|
|
| A theoretical approach to estimation of the rock failure strength under complex compression |
| LIN Dachao1,XU Qian2,WANG Zhongqi2,LIU Haibo1 |
| (1.Department of Civil Engineering,North China Institute of Science and Technology,Sanhe,Hebei 065201,China;2. State Key Laboratory of Explosion Science and Technology,Beijing Institute of Technology,Beijing 100081,China) |
|
|
|
|
Abstract There is still a challenge to reliably predict failure strengths of a rock subjected to complex loads by means of its experimental results under simple loading conditions. This work,based on the energy description of the mechanical model of Mohr-Coulomb criterion,suggests an approach to theoretically estimating the failure strength of the rock under complex compression from uniaxial compression test. It includes a critical energy condition for failure that is resulted from the energy conservation law between the elastic strain energy and the surface energy of crack at a point on the failure surface,and a failure criterion of the rock under polyaxial compression that is derived from the critical energy condition under the condition of constant shear modulus of elasticity and the volume change following a power law of the volumetric stress. Different from previously developed rock failure criteria,this criterion takes characteriscs of the rock deformation and cracking into account. Instead of being determined by fitting the test data of strengths,its three parameters are determined in calculation by using information of the uniaxial compression test. Applications show that the accuracy of its strength prediction may reach the same level as the best-fitting solution by using the Hoek-Brown empirical failure criterion.
|
|
|
|
|
|
| [1] 尤明庆. 岩石的力学性质[M]. 北京:地质出版社,2007:57–170.(YOU Mingqing. Mechanical properties of rocks[M]. Beijing:Geological Publishing House,2007:57–170.(in Chinese))
[2] RENANI H R,MARTIN C D,HOEK E. Application of the Christensen failure criterion to intact rock[J]. Geotechnical and Geological Engineering,2016,34(1):297–312.
[3] COLMENARES L B, ZOBACK M D. A statistical evaluation of intact rock failure criteria constrained by polyaxial test data for five different rocks[J]. International Journal of Rock Mechanics and Mining Sciences,2002,39(6):695–729.
[4] 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.
[5] YOU M. True-triaxial strength criteria for rock[J]. International Journal of Rock Mechanics and Mining Sciences,2009,46(1):115–127.
[6] RAFIEI H. New empirical polyaxial criterion for rock strength[J]. International Journal of Rock Mechanics and Mining Sciences,2011,48(6):922–931.
[7] YANG Y,GAO F,CAI C,et al. A novel polyaxial strength criterion for rock materials under general stress condition[J]. International Journal of Applied Mechanics,2018,10(8):1850082.
[8] LABUZ J F,ZANG A. Mohr-Coulomb failure criterion[J]. Rock Mechanics and Rock Engineering,2012,45(6):975–979.
[9] EBERHARDT E. The Hoek-Brown failure criterion[J]. Rock Mechanics and Rock Engineering,2012,45(6):981–988
[10] LABUZ J F,ZENG F,MAKHNENKO R,et al. Brittle failure of rock:A review and general linear criterion[J]. Journal of Structural Geology,2018,112:7–28.
[11] PRIEST S. Three-dimensional failure criteria based on the Hoek-Brown criterion[J]. Rock Mechanics and Rock Engineering,2012,45(6):989–993.
[12] HOEK E,BROWN E T. The Hoek-Brown failure criterion and GSI-2018 edition[J]. Journal of Rock Mechanics and Geotechnical Engineering,2019,11(3):445–463.
[13] 苏承东,尤明庆. 单一试样确定大理岩和砂岩强度参数的方法[J]. 岩石力学与工程学报,2004,23(18):3 055–3 058.(SU Chengdong,YOU Mingqing. Determination method of strength parameters for sandstone and marble with one specimen[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(18):3 055–3 058.(in Chinese))
[14] 林大超,杜景峰,刘海波,等. Mohr-Coulomb准则模型的能量描述[J]. 华北科技学院学报,2020,17(2):69–76.(LIN Dachao,DU Jingfeng,LIU Haibo,et al. Energy description on the mechanical model of Mohr-Coulomb criterion[J]. Journal of North China Institute of Science and Technology,2020,17(2):69–76.(in Chinese))
[15] BRACE W F,PAULDING B W,SCHOLZ C. Dilatancy in the fracture of crystalline rocks[J]. Journal of Geophysical Research,1966,71(16):3 939–3 953.
[16] 陈国庆,吴家尘,蒋万增,等. 基于弹性能演化全过程的岩石脆性评价方法[J]. 岩石力学与工程学报,2020,39(5):901–911.(CHEN Guoqing,WU Jiachen,JIANG Wanzeng,et al. An evaluation method of rock brittleness based on the whole process of elastic energy evolution[J]. Chinese Journal of Rock Mechanics and Engineering,2020,39(5):901–911.(in Chinese))
[17] MARTIN C D,CHANDLER N A. The progressive fracture of Luc du Bonnet granite[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1994,31(6):643–659.
[18] EBERHARDT E,STEAD D,STIMPSON B,et al. Identifying crack initiation and propagation thresholds in brittle rock[J]. Canadian Geotechnical Journal,1998,35(2):222–233.
[19] SKB. Site Investigations. Investigation methods and general execution programme[Z]. Stockholm:Swedish Nuclear Fuel and Waste Management Co,2001. http://www.skb.se.
[20] JACOBSSON L. Borehole KLX10:Uniaxial compression test of intact rock[R]. Stockholm:Swedish Nuclear Fuel and Waste Management Co,2006.
[21] JACOBSSON L. Borehole KLX10:Triaxial compression test of intact rock[R]. Swedish Nuclear Fuel and Waste Management Co,2006.
[22] JACOBSSON L. Borehole KLX11A:Uniaxial compression test of intact rock[R]. Stockholm:Swedish Nuclear Fuel and Waste Management Co,2006.
[23] JACOBSSON L. Borehole KLX11A:Triaxial compression test of intact rock[R]. Stockholm: Swedish Nuclear Fuel and Waste Management Co,2006.
[24] ZHANG H,LI C C. Effects of confining stress on the post-peak behaviour and fracture angle of Fauske marble and Iddefjord granite[J]. Rock Mechanics and Rock Engineering,2019,52(5):1 377–1 385.
[25] 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(1):285–296.
[26] ZHANG G K,LI H B,WANG M Y,et al. Crack intiation of granite under uniaxial compression tests:A comparison study[J]. Journal of Rock Mechanics and Geotechnical Engineering,2020,12(3):656–666.
[27] 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.
[28] CHANG C,HAIMSON B. True triaxial strength and deformability of the German Continental Deep Drilling Program(KTB) deep hole amphibolites[J]. Journal of Geophysical Research,2000,105(B8):18 999–19 013.
[29] MOGI K. Experimental rock mechanics[M]. London:Taylor and Francis Group,2007:51–113.
[30] TAKAHASHI M,KOIDE F. Effect of the intermediate principal stress on strength and deformation behavior of sedimentary rocks at the depth shallower than 2000m[C]// Rock at GREAT DEPTH. Rotterdam:AA Balkema,1989:19–26. |
|
|
|