|
|
|
| STATISTICAL DAMAGE SOFTENING MODEL OF FRACTURED
ROCK BASED ON SMP FAILURE CRITERION
AND ITS APPLICATION |
| ZHU Jianming1,CHENG Haifeng1,YAO Yangping2 |
(1. College of Architecture and Civil Engineering,North China University of Technology,Beijing 100144,China;
2. School of Transportation Science and Engineering,Beihang University,Beijing 100191,China) |
|
|
|
|
Abstract The rock material is a kind of non-homogeneous material and there are a large number of defects such as fissures,voids,interfaces in the broken rock. Its micro units damage more randomness under the loads. Starting from micro units strength are random distribution on the basis of damage theory,a method for measuring microcosmic element strength of rock is presented with consideration of damage threshold. Assuming the micro units strength of broken rock obey Weibull distribution,combined with the SMP criterion,which considers the intermediate principal stress,the statistical damage softening constitutive model is built. And the model parameters m and F0 are computed using some methods. Through the calculation results of two kinds of broken rock in Xiaoguanzhuang indicate that:the predicted stress-strain curves under different confining pressures agree well with the test data,and it can reflect not only the influence of damage threshold but also more desirable in the lower confining pressures. At the same time,this model can reflect the characteristic that the peak strength increases and ductility increases with the confining pressure increase,which further shows that the applicability of the model and a strong application value.
|
|
Received: 07 September 2012
|
|
|
|
| [1] 曹文贵,方祖烈,唐学军. 岩石损伤软化统计模型之研究[J]. 岩石力学与工程学报,1998,17(6):628–633.(CAO Wengui,FANG Zulie,TANG Xuejun. A study of statistical constitutive model for soft and damage rocks[J]. Chinese Journal of Rock Mechanics and Engineering,1998,17(6):628–633.(in Chinese))
[2] 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测试及试验验证[J]. 岩石力学与工程学报,2008,27(1):124–134. (HUANG Shuling,FENG Xiating,ZHANG Chuanqing. Brittle rock generalized multi-axis strain energy intensity criteria and test and test verification[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(1):124–134.(in Chinese))
[3] HARRISON J P. 工程岩石力学[M]. 冯夏庭译. 北京:科学出版社,2009:24–28.(HARRISON J P. Engineering rock mechanics[M]. Translated by FENG Xiating. Beijing:Science Press,2009:24–28. (in Chinese))
[4] 吴黎辉. 岩石经验强度准则研究[硕士学位论文][D].西安:长安大学,2004.(WU Lihui. The experience strength criterion of the rock[M. S. Thesis][D]. Xi?an:Chang?an University,2004.(in Chinese))
[5] 路德春. 基于广义非线性强度理论土的应力路径本构模型[博士学位论文][D]. 北京:北京航空航天大学,2006.(LU Dechun. Stress path of soil based on the generalized nonlinear strength theory constitutive model [Ph. D. Thesis][D]. Beijing:Beihang University,2006.(in Chinese))
[6] 朱建明,彭新坡,姚仰平. SMP准则在计算煤柱极限强度中的应用[J]. 岩土力学,2010,31(9):2 987–2 990.(ZHU Jianming,PENG Xinpo,YAO Yangping. SMP criterion in the calculation of the coal pillar ultimate strength[J]. Rock and Soil Mechanics,2010,31(9): 2 987–2 990.(in Chinese))
[7] 朱建明,彭新坡. 基于SMP准则的衬砌隧道围压抗力系数的计算[J]. 岩土工程学报,2011,33(5):700–704.(ZHU Jianming,PENG Xinpo. Confining pressure resistance coefficient calculation based on the SMP criterion lined tunnel[J]. Chinese Journal of Geotechnical Engineering,2011,33(5):700–704.(in Chinese))
[8] MATSUOKA H,NAKAI T. Stress-deformation and strength characteristics of soil under three different principal stresses[C]// Proceedings of JSCE. [S.l.]:[s.n.],1974:59–70.
[9] MATSUOKA H,HOSHIKAWA T,UENO K. A general failure criterion and stress-strain retain for granular materials to metals[J]. Soil and Foundations,1990,30(2):119–127.
[10] 朱建明,徐秉业,任天贵. 基于三轴压缩试验的破裂岩损伤演化方程的建立[J]. 工程地质学报,2000,8(2):175–179.(ZHU Jianming,XU Bingye,REN Tiangui. Establishing the damage evolution equation of the fractured rocks based on the triaxial compression tests[J]. Journal of Engineering Geology,2000,8(2):175–179.(in Chinese))
[11] 游 强,游 猛. 岩石统计损伤本构模型及对比分析[J]. 兰州理工大学学报,2011,37(3):119–123.(YOU Qiang,YOU Meng. Statistical damage constitutive models of rock and their comparative analysis[J]. Journal of Lanzhou University of Technology,2011,37(3):119–123.(in Chinese))
[12] NELSON W. Applied life data analysis[M]. New York:John Wiley and Sons,1982:335–341.
[13] NELSON W. Accelerated testing:statistical models,test plans,and data analysis[M]. New York:John Wiley and Sons,1990:23–25.
[14] 金少华. 电工产品可靠度评估方法与贝叶斯理论的应用[硕士学位论文][D]. 石家庄:河北工业大学,2002.(JIN Shaohua. The reliability evaluation methods of the products of electrical engineering and applications of the bayes theory[[M. S. Thesis][D]. Shijiazhuang:Hebei University of Technology,2002.(in Chinese))
[15] 曹文贵,赵明华,刘成学. 基于Weibull分布的岩石损伤软化模型及其修正方法研究[J]. 岩石力学与工程学报,2004,23(19):3 226– 3 231.(CAO Wengui,ZHAO Minghua,LIU Chengxue. Study on the model and its modifying method for rock softening and damage based on Weibull random distribution[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(19):3 226–3 231.(in Chinese))
[16] 蒋 维,邓 建,李 隐. 基于对数正态分布的岩石损伤本构模型研究[J]. 地下空间与工程学报,2010,6(6):1 190–1 194(JIANG Wei,DENG Jian,LI Yin. Study on constitutive model of rock damage based on lognormal distribution[J]. Chinese Journal of Underground Space and Engineering,2010,6(6):1 190–1 194.(in Chinese))
[17] 蒋 维,邓 建,司庆超. 基于Mohr准则的岩石损伤本构模型及其修正研究[J]. 河北工程大学学报,2010,27(2):30–37.(JIANG Wei,DENG Jian,SI Qingchao. Study on the constitutive model and its modifying for rock damage based on Mohr criterion[J]. Journal of Hebei University of Engineering,2010,27(2):30–37.(in Chinese))
[18] 曹文贵,赵 衡,张 玲,等. 考虑损伤阈值影响的岩石统计损伤软化本构模型及其参数确定方法[J]. 岩石力学与工程学报,2008,27(6):1 148–1 154.(CAO Wengui,ZHAO Heng,ZHANG Ling,et al. Damage statistical softening constitutive model for rock considering effect of damage threshold and its parameters determination method[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(6):1 148–1 154.(in Chinese)) |
|
|
|