|
|
|
| A SIMPLE,CONVENIENT THREE-DIMENSIONAL HOEK-BROWN CRITERION FOR ROCKS |
| JIANG Hua |
| (School of Highway,Chang?an University,Xi?an,Shaanxi 710064,China) |
|
|
|
|
Abstract Referencing the expression of the Ottsosen strength criterion for concrete,a simple three-dimensional Hoek-Brown(HB) criterion is proposed to overcome the shortcomings of the HB criterion,where the influence of the intermediate principal stress on rock failure is not taken into account. The mathematical deduction of three different expressions of the proposed strength criterion is made. Besides,the convex and smoothness of the failure envelope surface is proved. A non-linear multiple regression technique is adopted to obtain the best fitting material parameters,and Poly-axial test data for eight different rocks was used to verify the proposed criterion. In addition,a comparison of determination of coefficient for three different expressions of the proposed strength criterion is made. Further,a comparison of the new criterion with three existing ones is also made. The new 3D HB criterion is easier,robust and convenient to set up elasto-plastic constitutive models in future.
|
|
|
|
|
|
| [1] HOEK E,BROWN E T. Empirical strength criterion for rock masses [J].
Journal of the Geotechnical Engineering Division ASCE,1986,106(GT9):1 013–1 035.
[2] HOEK E,BROWN E T. Practical estimates of rock mass strength [J]. International Journal of Rock Mechanics and Mining Sciences,1997,34(8):1 165–1 186.
[3] HOEK E,CARRANZA-TORRES C,CORKUM B. A More Fundamental approach to plastic-stress strain relations[C]// Proceedings of the 5th North American Rock Mech. Symp and 17th Tunneling. Association of Canada Conference:NARMS–TAC 2002. Mining Innovation and Technology,Toronto,2002.
[4] PAN X D,HUDSON J A. A simpli?ed three dimensional Hoek-Brown yield criterion[J]. Rock Mechanics and Power Plants,1998:95–103.
[5] 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(6):299–327.
[6] ZHANG L,ZHU H. Three-dimensional Hoek-Brown strength criterion for rocks[J]. Journal of Geotechnical and Geoenvironmental Engineering,2007,133(9):1 128–1 135.
[7] ZHANG L. A generalized three-dimensional Hoek-Brown strength criterion[J]. Rock Mechanics and Rock Engineering,2008,41(4):893–915.
[8] 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.
[9] JIANG H,WANG X W,XIE Y L. New strength criteria for rocks under polyaxial compression[J]. Canadian Geotechnical Journal,2011,48(8):1 233–1 245.
[10] OTTOSEN N S. A failure criterion for concrete[J]. Journal of the Engineering Mechanics Division,1977,103(4):527–535.
[11] 姜 华. 基于等效Mohr-Coulomb 摩擦角的强度准则主应力平面表示[J]. 中南大学学报:自然科学版,2012,43(8):3 216–3 221. (JIANG Hua. Expressing strength criterion in principal stress plane base on equivalent Mohr Coulomb friction angle[J]. Journal of Central South University:Science and Technology,2012,43(8):3 216–3 221. (in Chinese))
[12] 俞茂鋐,刘凤羽. 双剪应力三参数准则及其角隅模型[J]. 土木工程学报,1988,21(3):90–95.(YU Maohong,LIU Fengyu. Twin shear stress three parameters criterion and its corner model[J]. China Civil Engineering Journal,1988,21(3):90–95.(in Chinese))
[13] KARAOULANIS F E. Implicit numerical integration of nonsmooth multisurface yield criteria in the principal stress space[J]. Archives of Computational Methods in Engineering,2013,20(3):263–308.
[14] MOGI K. Fracture and ?ow of rocks under high triaxial compression[J]. Journal of Geophysical Research,1971,76(5):1 255–1 269.
[15] COLMENARES L B,ZOBACK M D. A statistical evaluation of intact rock failure criterial constrained by polyaxial test data for ?ve different rocks[J]. International Journal of Rock Mechanics and Mining Sciences,2002,39(6):695–729.
[16] AL-AJMI A M,ZIMMERMAN R W. Relationship between the parameters of the Mogi and Coulomb failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences,2005,42(3):431–439.
[17] 尤明庆. 岩石强度准则的数学形式和参数确定的研究[J]. 岩石力学与工程学报,2010,29(11):2 182–2 184.(YOU Mingqing. Study of mathematical equation and parameter determination of strength criteria for rock[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(11):2 182–2 184.(in Chinese))
[18] JIANG H,XIE Y L. A new three-dimensional Hoek-Brown strength criterion[J]. Acta Mechanica Sinica,2012,28(2):393–406.
[19] OTTOSEN N S. A failure criterion for concrere[J]. Journal of the Engineering Medianics Division ASCE,1977,103(4):527–535. |
|
|
|