深部围岩变形与破坏模型及数值方法研究

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (4568 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract A discontinuous elastoplastic model for plane strain was presented to depict rock shear strain localization phenomenon；and the classical slip line field theory is used as a frame in the model. The discontinuities of displacement field on slip lines are described with an assemblage of continuous functions；and control equations in the model are deduced from physical law in local orthogonal curvilinear coordinates. The deformation process is divided into three phases：elastic，plastic and post-peak shear localization phases. The materials on slip lines obey the Coulomb criterion and break on slip lines appeared after peak strength，while initial cohesion decreases linearly and finally disappears. The model is dispersed with finite element method(FEM) and solved with the Newmark method，which is actualized with Fortran code. A simple case is given to validate the model by comparing with the analytical solutions of traditional continuous model. Both strain and stress tensors of materials are asymmetric in the model；and plastic behavior and energy dissipation of materials depend on deformation motion at discontinuous interface. The discontinuous model can profoundly describe the post-peak shear localization phenomenon of deep rock mass.

Key words： rock mechanics strain localization discontinuous displacement field slip line discontinuous model post-peak

Received: 14 February 2011

	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/Y2011/V30/I6/1250

[1]	潘岳，王志强，王在泉. 非线性硬化与软化的巷道围岩应力分布与工况研究[J]. 岩石力学与工程学报，2006，25(7)：1 343-1 351. (PAN Yue，WANG Zhiqiang，WANG Zaiquan. Study on distribution of surrounding rock and work condition of tunnel based on strain nonlinear hardening and softening[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(7)：1 343-1 351.(in Chinese))
[2]	曹文贵，赵明华，唐学军. 岩石破裂过程的统计损伤模拟研究[J]. 岩土工程学报，2003，25(2)：184-187.(CAO Wengui，ZHAO Minghua，TANG Xuejun. Study on simulation of statistical model in the full process of rock failure[J]. Chinese Journal of Geotechnical Engineering，2003，25(2)：184-187.(in Chinese))
[3]	谢和平，鞠杨，黎立云. 基于能量耗散与释放原理的岩石强度与整体破坏准则[J]. 岩石力学与工程学报，2005，24(17)：3 003-3 010. (XIE Heping，JU Yang，LI Liyun. Criteria for strength and structural failure of rocks based on energy dissipation and energy release principles[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(17)：3 003-3 010.(in Chinese))
[4]	CARRANZA-TORRES C. Elastoplastic solution of tunnel problems using the generalized form of the Hoek-Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(3)：629-639. " target="_blank">
[5]	WANG Y L. The effect of a nonlinear Mohr-Coulomb criterion on borehole stresses and damage-zone estimate[J]. Canadian Geotechnical Journal，1994，31(1)：104-109. " target="_blank">
[6]	SHARAN S K. Exact and approximate solutions for displacements around circular openings in elastic-brittle-plastic Hoek-Brown rock[J]. International Journal of Rock Mechanics and Mining Sciences，2005，42(4)：542-549. " target="_blank">
[7]	俞茂宏. 双剪理论及其应用[M]. 北京：科学出版社，1998：363-383.(YU Maohong. Double shear theory and its application[M]. Beijing：Science Press，1998：363-383.(in Chinese)) " target="_blank">
[8]	邓宏见. 岩石局部剪切变形的弹塑性模型与数值分析方法[博士学位论文][D]. 南京：解放军理工大学，2007.(DENG Hongjian. The elastoplastic model for the local shear deformation of rock and the numerical analysis method[Ph. D. Thesis][D]. Nanjing：PLA University of Science and Technology，2007.(in Chinese)) " target="_blank">
[9]	黄书岭，冯夏庭，张传庆. 脆性岩石广义多轴应变能强度准则及试验验证[J]. 岩石力学与工程学报，2008，27(1)：124-134.(HUANG Shuling，FENG Xiating，ZHANG Chuanqing. A new generalized polyaxial strain energy strength criterion of brittle rock and polyaxial test validation[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(1)：124-134.(in Chinese))
[10]	王明洋，戚承志，钱七虎. 深部岩体块系介质变形与运动特性研究[J]. 岩石力学与工程学报，2005，24(16)：2 825-2 830.(WANG Mingyang，QI Chengzhi，QIAN Qihu. Study on deformation and motion characteristics of blocks in deep rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(16)：2 825-2 830.(in Chinese)) " target="_blank">
[11]	王明洋，周泽平，钱七虎. 深部岩体的构造和变形与破坏问题[J]. 岩石力学与工程学报，2006，25(3)：448-455.(WANG Mingyang，ZHOU Zeping，QIAN Qihu. Tectonic，deformation and failure problems of deep rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(3)：448-455.(in Chinese))
[12]	王明洋，宋华，郑大亮，等. 深部巷道围岩的分区破裂机制及“深部”界定探讨[J]. 岩石力学与工程学报，2006，25(9)：1 771-1 776. (WANG Mingyang，SONG Hua，ZHENG Daliang，et al. On mechanism of zonal disintegration within rock mass around deep tunnel and definition of deep rock engineering[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(9)：1 771-1 776.(in Chinese)) " target="_blank">
[13]	SHEMYAKIN E，FISENKO G L，KURLENYA M V，et al. Effect of zonal disintegration of rocks around the underground workings，part I：data of in situ observations[J]. Journal of Mining Science，1986，22(3)：157-168. " target="_blank">
[14]	钱七虎. 非线性岩石力学的新进展——深部岩体力学的若干问题[C]//第八次全国岩石力学与工程学术大会论文集. 北京：科学出版社，2004：10-17.(QIAN Qihu. The current development of nonlinear rock mechanics—the mechanical problems of deep rock mass[C]// Proceedings of the 8th Conference on Rock Mechanics and Engineering. Beijing：Science Press，2004：10-17.(in Chinese)) " target="_blank">
[15]	REVUZHENKO A F，SHEMYAKIN E I. Problem of plane strain of hardening and softening plastic materials[J]. Journal of Applied Mechanics and Technical Physics，1977，18(3)：406-420. " target="_blank">
[16]	陈士林，钱七虎，王明洋. 深部坑道围岩的变形与承载能力问题[J]. 岩石力学与工程学报，2005，24(13)：2 203-2 211.(CHEN Shilin，QIAN Qihu，WANG Mingyang. Problems of deformation and bearing capacity of rock mass around deep-buried tunnels[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(13)：2 203-2 211.(in Chinese)) " target="_blank">
[17]	李文培，王明洋，范鹏贤. 基于间断位移场的隧道围岩承载能力研究[J]. 岩土力学，2010，31(8)：2 441-2 447.(LI Wenpei，WANG Mingyang，FAN Pengxian. Bearing capacity of tunnel surrounding rock based on discontinuous displacement field[J]. Rock and Soil Mechanics，2010，31(8)：2 441-2 447.(in Chinese))
[18]	ERINGEN A C，SUHUBI E S. Elastodynamics：volume 1 finite motions[M]. New York-London：Academic Press，1975：72-80. " target="_blank">
[19]	ZHANG P，LI N，LI X B，et al. Compressive failure model for brittle rocks by shear faulting and its evolution of strength components[J]. International Journal of Rock Mechanics and Mining Sciences，2009，46(5)：830-841.
[20]	王勖成. 有限单元法[M]. 北京：清华大学出版社，2003：132-148.(WANG Xucheng. Finite element method[M]. Beijing：Tsinghua University Press，2003：132-148.(in Chinese)) " target="_blank">