水压轴压联合作用下煤岩的统计损伤本构模型研究
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摘要
从煤岩内部节理、裂隙和物质分界面等缺陷的随机性分布特征出发,基于反映煤岩内部缺陷的微元强度服从Weibull分布的概念,建立了水压和轴压联合作用下煤岩的损伤本构模型.以东庞北井9#煤静态压缩试验为基础确定了模型里面的相关参数,并得出了与峰值应力对应的累积损伤度(即临界损伤度).研究结果表明:(1)模型参数少且易于确定;(2)模型能反映围压效应,即可以体现煤岩体强度随水压变化的规律;(3)模型参数确定方法揭示了模型参数的物理意义;(4)可以通过不同围压下煤岩体应力-应变全曲线特征及在不同围压下峰值应力与应变之间的关系来确定模型参数;(5)在弹性矩阵中引入孔隙水压力影响因子来考虑孔隙水压力对煤岩损伤本构模型的影响,这种方法被证明是可行的.
The statistical damage constitutive model for coal-rock subjected to hydraulic pressure and pulldown was established based on the random distribution property of the inner flaw,such as joint,cranny and interface,and the conception that the infinitesimal element strength of the inner flaw in the coal-rock satisfies the Weibull distribution.The correlative parameters were determined by axial compression experimention of 9# coal in the north mine shaft of the DONG PANG colliery,and the damage cumulation(critical damage) corresponding to peak stress were obtained.The results show:(1)There are only three parameters in this model and they can be determined.(2)The model can reflect the confining pressure effect,namely the regularity of the coal rock strength changing with the hydraulic pressure could be showed.(3)The way of determining the parameters indicated the physical meaning of the parameters of model.(4)The statistical parameters in the constitutive model can be obtained by the characteristics of the full stress-strain curve of coal rock and the relationship between the characteristic parameters(the stress and strain at the peak-stress point) under dissimilar hydraulic pressure.(5)The effect of the pore water pressure to the statistical damage constitutive model for coal-rock was considered by introducing the influencing factor of pore water pressure in the elasticity matrix.This method proved feasible.
The statistical damage constitutive model for coal-rock subjected to hydraulic pressure and pulldown was established based on the random distribution property of the inner flaw,such as joint,cranny and interface,and the conception that the infinitesimal element strength of the inner flaw in the coal-rock satisfies the Weibull distribution.The correlative parameters were determined by axial compression experimention of 9# coal in the north mine shaft of the DONG PANG colliery,and the damage cumulation(critical damage) corresponding to peak stress were obtained.The results show:(1)There are only three parameters in this model and they can be determined.(2)The model can reflect the confining pressure effect,namely the regularity of the coal rock strength changing with the hydraulic pressure could be showed.(3)The way of determining the parameters indicated the physical meaning of the parameters of model.(4)The statistical parameters in the constitutive model can be obtained by the characteristics of the full stress-strain curve of coal rock and the relationship between the characteristic parameters(the stress and strain at the peak-stress point) under dissimilar hydraulic pressure.(5)The effect of the pore water pressure to the statistical damage constitutive model for coal-rock was considered by introducing the influencing factor of pore water pressure in the elasticity matrix.This method proved feasible.
引文
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[2]曹文贵,赵明华,刘成学.岩石损伤统计强度理论研究[J].岩土工程学报,2004,26(6):820-823.CAO Wen-gui,ZHAO Ming-hua,LI UCheng-xue.Astudy on damage statistical strengththeoryfor rock[J].Chi-nese Journal of Geotechnical Engineering,2004,26(6):820-823.
[3]张子明,赵吉坤,吴昊,等.混凝土单轴荷载下细观损伤破坏的数值模拟[J].河海大学学报:自然科学版,2005,33(4):422-425.ZHANG Zi-ming,ZHAOJi-kun,WU Hao,et al.Numerical si mulation of meso-damage of concrete subjected to u-niaxial loads[J].Journal of Hehai University(Natural Sciences),2005,33(4):422-425.
[4]刘齐建,杨林德,曹文贵.岩石统计损伤本构模型及其参数反演[J].岩石力学与工程学报,2004,24(4):616-621.LI U Qi-jian,YANG Lin-de,CAO Wen-gui.Statistical Damage Constitutive Model for Rock and Back Analysis of its Parameters[J].Chinese Journal of Rock Mechanics and Engineering,2004,24(4):616-621.
[5]陈忠辉,傅宇方,唐春安.岩石破裂声发射过程的围压效应[J].岩石力学与工程学报,1997,16(1):65-70.CHEN Zhong-hui,FU Yu-fang,TANG Chun-an.Confining PRESSURE Effect on Acoustic Emissions During Rock Failure[J].Chinese Journal of Rock Mechanics and Engineering,1997,16(1):65-70.
[6]陈忠辉,林忠明,谢和平,等.三维应力状态下岩石损伤破坏的卸荷效应[J].煤炭学报,2004,29(1):31-35.CHEN Zhong-hui,LIN Zhong-ming,XIE He-ping,et al.Damage study on brittle rock failure under complicated stress[J].Journal of China Coal Society,2004,29(1):31-35.
[7]徐志英.岩石力学[M].北京:中国水利水电出版社,1981:57-59.XU Zhi-ying.Rock Mechanics[M].Beijing:China Water Power Press,1981:57-59.
[8]周飞平,刘光延.饱和软岩受压硬化、强度折减及本构模型[J].水利水运工程学报,2002,12(4):39-43.ZHOU Ping-fei,LI U Guang-yan.Initial harding and strength reduction of compression saturated soft rock and its constitutive model[J].Hydro science and engineering,2002,12(4):39-43.
[9]杨明辉,赵明华,曹文贵.岩石损伤软化统计本构模型参数的确定方法[J].水利学报,2005,36(3):345-349.YANG Ming-hui,ZHAO Ming-hua,CAO Wen-gui.Method for determining the parameters of statistical damage softening constitutive model for rock[J].Journal of Hydraulic Engineering,2005,36(3):345-349.
[10]张安哥,朱成九,陈梦成.疲劳、断裂与损伤[M].成都:西南交通大学出版社,2005:110-120.ZHANG An-ge,ZHUJiu-cheng,CHEN Meng-cheng.Fatigue,Fracture and Damage[M].Chengdu:Southwest Communications Press,2006:110-120.
[11]喻磊,姚谦峰,张荫.基于集中损伤力学的钢筋混凝土框架结构非线性分析[J].西安建筑科技大学学报:自然科学版,2006,38(4):518-522.YU Lei,YAO Qian-feng,ZHANG Yin.Nonlinear analysis of reinforced concrete frames based onlumped damage mechanic[J]J.Xi′an Univ.of Arch.&Tech.(Natural Science Edition),2006,38(4):518-522.
[12]尹海军,徐雷,申跃奎,等.汶川地震中桥梁损伤机理探讨[J].西安建筑科技大学学报:自然科学版,2008,40(5):672-677.YIN Hai-jun,XU Lei,SHEN Yue-kui,et al.Study on the seismic damages to the bridges in Wenchuan Earth-quak[J].J.Xi′an Univ.of Arch.&Tech.(Natural Science Edition),2008,40(5):672-677.
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