STUDY OF STATISTICAL DAMAGE CONSTITUTIVE MODEL FOR ROCK CONSIDERING PORE WATER PRESSURE
WANG Wei1,2,TIAN Zhenyuan1,2,ZHU Qizhi1,2,LI Xuehao3,XU Weiya1,2
(1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering,Hohai University,Nanjing,Jiangsu 210098,China;2. Institute of Geotechnical Engineering,Hohai University,Nanjing,Jiangsu 210098,China;3. Shanxi Provincial Communications Planning Surveying and Design Institute,Taiyuan,Shanxi 030012,China)
On the basis of damage theory,combing effective stress principle with Lemaitre¢s strain equivalence assumptions,an expression of effective stress under stress and seepage coupling conditionwas established. Assuming that the micro-unit strength obeys Weibull distribution,a statistical damage constitutive model considering pore water pressure was established. Comparing the test datawith the results obtained from the statistical model,the new model can fit the test data well,showing the validity and feasibility of the new model. Then the relationship between pore water pressure and model parameters,damage characteristics were discussed,and it will provide good reference for safety analysis ofrock engineering under stress and seepage coupling condition.
王 伟1,2,田振元1,2,朱其志1,2,李雪浩3,徐卫亚1,2. 考虑孔隙水压力的岩石统计损伤本构模型研究[J]. 岩石力学与工程学报, 2015, 34(S2): 3676-3682.
WANG Wei1,2,TIAN Zhenyuan1,2,ZHU Qizhi1,2,LI Xuehao3,XU Weiya1,2. STUDY OF STATISTICAL DAMAGE CONSTITUTIVE MODEL FOR ROCK CONSIDERING PORE WATER PRESSURE. , 2015, 34(S2): 3676-3682.
阎 岩,王恩志,王思敬,等. 岩石渗流-流变耦合的试验研究[J].岩土力学,2010,31(7):2 009-2 013.(YAN Yan,WANG Enzhi,WANG Sijing,etal.Study of seepage-rheology coupling experiment of rocks[J].Rock and Soil Mechanics,2010,31(7):2009-2013.(in Chinese))
[2]
朱珍德,张爱军,徐卫亚. 脆性岩石全应力-应变过程渗流特性试验研究[J]. 岩土力学,2002,23(5):555-563.(ZHU Zhende,ZHANGAijun,XU Weya. Experimental research on complete stress-strain process seepage characteristics of brittle rock[J]. Rock and Soil Mechanics,2002,23(5):555-563.(in Chinese))
[3]
邢福东,朱珍德,刘汉龙,等. 高围压高水压作用下脆性岩石强度变形特性试验研究[J]. 河海大学学报:自然科学版,2004,32(2):184-187.(XING Fudong,ZHU Zhende,LIU Hanlong,etal. Experimental study on strength and deformation characteristics of brittle rocks under high confining pressure and hydraulic pressure[J].Journal of Hohai University:Natural Science,2004,32(2):184-187.(in Chinese))
[4]
许 江,杨红伟,彭守建,等. 孔隙水压力-围压作用下砂岩力学特性的试验研究[J]. 岩石力学与工程学报,2010,29(8):1 618- 1 623.(XU Jiang,YANG Hongwei,PENG Shoujian,et al. Experimental study of mechanical propertyof sandstone under pore water pressure and confining pressure[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(8):1 618-1 623.(in Chinese))
[5]
杨红伟. 循环载荷作用下岩石与孔隙水耦合作用机制研究[博士学位论文][D]. 重庆:重庆大学,2011.(YANG Hongwei. Study on coupling mechanism of rock and pore water under cyclic loading[Ph. D. Thesis][D]. Chongqing:Chongqing University,2011.(in Chinese))
[6]
徐卫亚,韦立德. 岩石损伤统计本构模型的研究[J]. 岩石力学与工程学报,2002,21(6):787-791.(XUWeiya,WEILide. Study on statistical damage constitutive model of rock[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(6):787-791.(in Chinese))
[7]
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))
[8]
曹文贵,赵明华,刘成学. 基于统计损伤理论的莫尔-库仑岩石强度判据修正方法之研究[J]. 岩石力学与工程学报,2005,24(14):2 403-2 408.(CAO Wengui,ZHAO Minghua,LIU Chengxue. Study on rectified method of Mohr-Coulomb strength criterion for rock based on statistical damage theory[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(14):2403-2408.(in Chinese))
[9]
杨圣奇,徐卫亚,苏承东. 考虑尺寸效应的岩石损伤统计本构模型研究[J]. 岩石力学与工程学报,2005,24(24):4 484-4 490.(YANG Shengqi,XU Weiya,SU Chengdong. Study on Statistical damage constitutive model of rock considering scale effect[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(24):4484-4490.(in Chinese))
[10]
韦立德,徐卫亚,杨春和. 饱和、非饱和岩石损伤统计本构模型探讨[J]. 岩石力学与工程学报,2004,23(增):4 285-4 291.(WEI Lide,XU Weiya,YANG Chunhe. Statistical damage constitutivemodel for saturated and unsaturated rock[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(Supp.):4 285-4 291.(in Chinese))
[11]
TERZAGHIK. The shearing resistance of saturated soils and the angle between the planes of shear[C]//Proceedings of the 1st International Conference of Soil Mechanics and Foundation Engineering. Cambridge,England:[s.n.],1936:54-56.
[12]
BIOT M A. General theory of three-dimensional consolidation[J]. Journal of Applied Physics,1941,12:155-164.
[13]
胡大伟,周 辉,潘鹏志,等. 砂岩三轴循环加卸载条件下的渗透率研究[J]. 岩土力学,2010,31(9):2 749-2 754.(HU Dawei,ZHOU Hui,PAN Pengzhi,et al.Study of permeability of sandstone in triaxial cyclic stress tests[J].Rock and Soil Mechanics,2010,31(9):2749- 2754.(in Chinese))
[14]
卢应发,孙 慧,李建林,等. 水-岩石相互作用力学参数的探讨[J]. 岩石力学与工程学报,2009,28(10):1 995-2 005.(LU Yingfa,SUN Hui,LI Jianlin,etal. Investigation on mechanical parameters of water-rockinteraction[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(10):1 995-2 005.(in Chinese))
[15]
LEMAITREJ.How to use damage mechanics[J]. Nuclear Engineering and Design,1984,80(3):233-245.
[16]
康亚明,刘长武,贾 延,等. 岩石的统计损伤本构模型及临界损伤度研究[J]. 四川大学学报:工程科学版,2009,41(4):42-46. (KANG Yaming,LIU Changwu,JIA Yan,et al. Research on statistical damage constitutive model and critical damage for rock subjected to triaxial stress condition[J].Journal of Sichuan University:Engineering Science Edition,2009,41(4):42-46.(in Chinese))