基于广义Hoek-Brown屈服准则的非线性弹塑性岩石(体)本构模型及其数值实现

doi:10.13722/j.cnki.jrme.2014.1525

Abstract
Figure/Table
References (22)
Related Citation (15)

Download: PDF (1834 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract In order to deal with the singularity of Hoek-Brown(H-B) yield criterion，a nonlinear elasto-plastic model based on the Hoek-Brown yield criterion was developed，where the stress was updated in the principal stress space and was mapped into general stress space，and the nonlinearity of elastic deformation was also taken into account. This method can serve as an accurate implementation of the Hoek-Brownyield criterion model. For the validation of the model，the user defined material(UMAT) code was redeveloped in Ls-dyna with Fortran programming language. With the building of 3D geometry of uniaxial compressive test model and Brazilian test model，the exact solution of the model based on H-B yield criterion including failure mode was implemented by deleting of elements whose effective plastic strain is up to a given value. Finally，the numerical results were compared with the experimental test and showed good agreement，which indicates a high accuracy of the presented model.

Key words： rock mechanics Hoek-Brown(H-B) yield criterion nonlinearity elasto-plasticity rock constitutive relations numerical implementation

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	SHU Cai1
	2
	SHI Feng1
	2
	HU Guozhong3
	WANG Hongtu1
	2

Cite this article:

SHU Cai1,2,SHI Feng1, et al. Development of nonlinear elasto-plastic constitutive model for rock based on Hoek-Brown yield criterion and its numerical implementation[J]. , 2016, 35(S1): 2627-2634.

URL:

https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2014.1525 OR https://rockmech.whrsm.ac.cn/EN/Y2016/V35/IS1/2627

[1]	朱合华，张琦，章连洋. Hoek-Brown强度准则研究进展与应用综述[J]. 岩石力学与工程学报. 2013，32(10)：1 945-1 963.(ZHU Hehua，ZHANG Qi，ZHANG Lianyang.Review of research progresses and applications of hoek-brown strength criterion[J].Chinese Journal of Rock Mechanicsand Engineering，2013，32(10)：1 945-1 963.(in Chinese))
[2]	WAN R. Implicit integration algorithm for Hoek-Brown elastic-plastic model[J]. Computers and Geotechnics，1992，14(3)：149-177.
[3]	SOFIANOS AI，NOMIKOS PP. Equivalent Mohr-Coulomb and generalized Hoek-Brown strength parameters for supported axisymmetric tunnels in plastic or brittle rock[J]. International Journal of Rock Mechanics and Mining Sciences，2006，43(5)：683-704.
[4]	CLAUSEN J，DAMKILDE L. An exact implementation of the Hoek-Brown criterion for elasto-plastic finite element calculations[J]. International Journal of Rock Mechanics and Mining Sciences，2008，45(6)：831-847.
[5]	KARAOULANIS FE. 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.
[6]	CUNDALL P，CARRANZA-TORRES C，HART R，et al. A new constitutive model based on the Hoek-Brown criterion[C]// Proceedings of the 3rd International FLAC Symposium. Sudbury，Ontario，Canada：[s.n.]，2003：17-25.
[7]	Itasca Consulting Group Inc..3DEC—3 dimensional distinct element code user's guide(Version 4.10)[M].Minneapolis：Itasca Consulting Group Inc.，2005：4_21-4_22.
[8]	CAI M. Practical estimates of tensile strength and Hoek-Brown strength parameter miof brittle rocks[J]. Rock Mechanics and Rock Engineering，2009，43(2)：167-184.
[9]	HOEK E，BROWN ET. Practical estimates of rock mass strength[J]. International Journal of Rock Mechanics and Mining Sciences，1997，34(8)：1165-1 186.
[10]	HOEK E，CARRANZA-TORRES C，CORKUM B. Hoek-Brown failure criterion-2002 edition[C]//Proceedings of NARMS-Tac. [S.l.]：[s.n.]，2002：267-273.
[11]	SHEN J，MURAT K. Simplified method for estimating the hoek-brown constant for intact rocks[J]. Journal of Geotechnical and Geoenvironmental Engineering，2014，140(6)：04014025.
[12]	COLAK K，UNLU T. Effect of transverse anisotropy on the Hoek-Brown strength parameter ‘mi’for intact rocks[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(6)：1045-1 052.
[13]	SARI M. An improved method of fitting experimental data to the Hoek-Brown failure criterion[J]. Engineering Geology，2012，127(2012)：27-35.
[14]	杨帆. 急倾斜煤层采动覆岩移动模式及机制研究[博士学位论文][D].阜新：辽宁工程技术大学，2006.(YANG Fan. Study on overburden strata¢s movement pattern and mechanism of ming steeply inclined seams[Ph. D thesis][D].Fuxin：Liaoning Technical University，2006.(in Chinese))
[15]	LIU HH，RUTQVIST J，BERRYMAN JG. On the relationship between stress and elastic strain for porous and fractured rock[J]. International Journal of Rock Mechanics and Mining Sciences，2009，46(2)：289-296.
[16]	NOCEDAL J，WRIGHT S. Numerical optimization[M]. 2nd edSpringer New York，2006：258-261.
[17]	王青春，范子杰. 利用Ls-Dyna计算结构准静态压溃的改进方法[J]. 力学与实践，2003，25(3)：20-23.(WANG Qingchun，FAN Zijie，Improvement in analysis of quasi-static collapse with Ls-Dyna[J].Mechanics and Practice，2003，25(3)：20-23.(in Chinese))
[18]	BELYTSCHKO T，LIU W K，MORAN B，et al. Nonlinear finite elements for continua and structures[M]：[S.l.]：John Wiley andSons，2013.
[19]	白金泽. LS-DYNA3D理论基础与实例分析[M]. 北京：科学出版社，2005：104-123.(BAI Jingzhe. LS-DYNA3Dtheoreticalbasis and case study[M]. Beijing：Science Press，2005：104-123.(inChinese))
[20]	FAIRHURST C，HUDSON J. Draft ISRM suggested method for the complete stress-strain curve for intact rock in uniaxial compression[J]. International Journal of Rock Mechanics and Mining Sciences，1999，36(3)：279-289.
[21]	柳赋铮. 拉伸和拉剪状态下岩石力学性质的研究[J]. 长江科学院院报，1996，13(3)：38-42.(LIU Fuzheng. Study on mechanical property of rock in tension and tension-shear state[J]. Journal of Yangtze RiverScientific Research Institute，1996，13(3)：38-42.(in Chinese))
[22]	李庶林，尹贤刚，王泳嘉，等. 单轴受压岩石破坏全过程声发射特征研究[J]. 岩石力学与工程学报，2004，23(15)：2 499-2 503.(LI Shulin，YIN Xiangang，WANG Yongjia. Studies on acoustic emission characteristics of uniaxial compressive rock failure[J]. Chinese Journal of Rock Mechanicsand Engineering，2004，23(15)：2 499-2 503.(in Chinese))