一种模拟岩石破裂的细观数值计算模型

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (0 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract A numerical procedure is developed to generate randomly and uniformly distributed Voronoi diagram，which is used as the basic mesh for rigid body spring method(RBSM). The midpoint contact model of original RBSM is modified into distributed interface contact model. A fracture criterion is proposed through combining Mohr-Coulomb law and tension strength，which can account for mode I and mode II fracturing at the same time. It is found from a series of numerical tests that mesh size and mesh arrangement have little effects on the relationship between macro and meso elastic parameters. A fitting relation is given to overcome the problem of mesh dependency of particle discrete element method and to simplify the complex calibration procedure of which for macro-meso parameters identification. Comparison with Vienne rock experiments shows that both strength and deformation analyzed by the proposed model are in good agreement with the experiment data. Thus，the validity of the proposed model is verified.

Key words： rock mechanics rigid body spring method rock fragmentation Voronoi diagram mesh dependency

Received: 05 November 2012

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors

Cite this article:

URL:

https://rockmech.whrsm.ac.cn/EN/Y2013/V32/Is2/3146

[1] JING L. A review of techniques，advances and outstanding issues in numerical modelling for rock mechanics and rock engineering[J]. International Journal of Rock Mechanics and Mining Sciences，2003，40(3)：283–353. [2] DONZE F V，RICHEFEU V，MAGNIER S A. Advances in discrete element method applied to soil，rock and concrete mechanics[J]. Electronic Journal of Geotechnical Engineering，2009，14(8)：1–44. [3] POTYONDY D O，CUNDALL P A. A bonded-particle model for rock[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(8)：1 329–1 364. [4] MAS I D，PIERCE M E，DARCEL C，et al. The synthetic rock mass approach for jointed rock mass modeling[J]. International Journal of Rock Mechanics and Mining Sciences，2011，48(2)：219–244. [5] CUNDALL P A，STRACK O. A discrete numerical model for granular assemblies[J]. Geotechnique，1979，29(1)：47–65. [6] WANG Y N，TONON F. Modeling Lac du Bonnet granite using a discrete element model[J]. International Journal of Rock Mechanics and Mining Sciences，2009，46(7)：1 124–1 135. [7] KAWAI T，TOI Y. A new element in discrete analysis of plane strain problems[J]. Seisan Kenkyu，1977，29(4)：204–207 [8] TED B，PLESHA M，DOWDING C H. A computer method for stability analysis of caverns in jointed rock[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1984，8(5)：473–492. [9] WANG B L，GARGA V K. A numerical method for modelling large displacements of jointed rocks. I. fundamentals[J]. Canadian Geotechnical Journal，1993，30(1)：96–108. [10] 钱令希，张雄. 结构分析中的刚体有限元法[J]. 计算结构力学及其应用，1991，8(1)：1–14.(QIAN Lingxi，ZHANG Xiong. Rigid body finite element method in structural analysis[J]. Computational Structural Mechanics and Applications，1991，8(1)：1–14.(in Chinese)) [11] 卓家寿，赵宁. 不连续介质静、动力分析的刚体–弹簧元法[J]. 河海大学学报，1993，21(5)：34–43.(ZHUO Jiashou，ZHAO Ning. Piecewise rigid body interface spring method for problems of discontinuous medium[J]. Journal of Hohai University，1993，21(5)：34–43.(in Chinese)) [12] CHEN S H. Slope stability analysis based on the rigid finite element method[J]. Géotechnique. 1999，49(5)：585–593. [13] 章青，卓家寿. 三峡船闸高边坡稳定分析的界面元法与评判准则[J]. 岩石力学与工程学报，2000，19(3)：285–288.(ZHANG Qing，ZHUO Jiashou. Interface element method and criterion for stability analysis of high slopes in three gorges shiplock[J]. Chinese Journal of Rock Mechanics and Engineering，2000，19(3)：285–288.(in Chinese)) [14] 陈胜宏，汪卫明，邹丽春，等. 岩石边坡开挖及加固分析的弹黏塑性块体元方法[J]. 岩石力学与工程学报，2002，21(7)：953–958.(CHEN Shenghong，WANG Weiming，ZOU Chunli. Elasto- viscoplastic block element method for excavation and reinforcement analysis of rock slope[J]. Chinese Journal of Rock Mechanics and Engineering，2002，21(7)：953–958.(in Chinese)) [15] 卓家寿，章青. 不连续介质力学问题的界面元法[M]. 北京：科学出版社，2000：22–68.(ZHUO Jiashou，ZHANG Qing. Interface Stress Element Method of Discontinuous Mehanics[M]. Beijing： Science Press，2000：22–68.(in Chinese)) [16] 颜庆津. 数值分析[M]. 北京：北京航空航天大学出版社，2006：164–174.(YAN Qingjin. Numerical analysis[M]. Beijing：Beijing University of Aeronautics and Astronautics Press，2006：164–174.(in Chinese)) [17] GREENGARD L，ROKHLIN V. A fast algorithm for particle simulations[J]. Journal of Computational Physics，1987，73(2)：325–349. [18] FORTUNE S. A sweepline algorithm for Voronoi diagrams[J]. Algorithmica，1987，2(1/2/3/4)：153–174. [19] HOMAND F，SHAO J F. Damage modelling in granites[R]. France：Research report for ANDRA，1998.