含裂隙类岩石材料的局部化渐进破损模型研究
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摘要
结合含裂隙类岩石材料模型试验观测结果,从含裂隙类岩石材料破坏过程和破坏机制出发,将表征体单元(RVE)划分为弹性区及剪切局部化带两个部分,并把剪切局部化带内的变形过程抽象为胶结强度弱化及摩擦强度增强两个阶段。重点考虑了这两个阶段一前一后发挥作用这一由试验所揭示的结构性破坏本质,同时借助于试样的滑移变形定义与胶结强度弱化相关的破损变量,抓住试样渐进性破坏的特征,进而采用细观链式模型及均匀化方法将破坏过程的细观特征与宏观力学特性相结合,建立含裂隙类岩石材料局部化渐进破损模型的理论公式。最后对已建立的含裂隙类岩石材料局部化渐进破损模型进行试验验证,模型计算结果与M.Yumlu和M.U.Ozbay的试验结果吻合很好,证明所提出模型的正确性。
The constitutive model of rock mass remains one of the most fundamental theoretical problems in rock mechanics to be solved.Based on the experimental results of the fractured rocklike materials,the localized progressive damage model is built.In this model,the representative volume element(RVE) is divided into the elastic zone and localized shear band according to the failure process and failure mechanisms of the fractured rocklike materials.The deformation process of the localized shear band is divided into cohesion weakening and friction strengthening phases.So,the emphasis in establishing the model is placed on the failure essence of the fractured rocklike materials,that is to say,the phases of cohesion weakening and friction strengthening should be exerted in tandem,which is discovered by the experiment.Moreover,in this model the processes of cohesion weakening and friction strengthening are represented by the damage variable which is defined in virtue of the relative sliding displacement of the shear band that represents the characteristics of the progressive failure process of the RVE.Furthermore,the chain model in localized band and homogenization method are adopted to combine the meso characteristics with the macro mechanical properties in this localized progressive damage model.Finally,based on the experimental results of M.Yumlu and M.U.Ozbay,the localized progressive damage model is validated.The result calculated through the localized progressive damage model agrees well with the experimental result,which proves the model is right.
The constitutive model of rock mass remains one of the most fundamental theoretical problems in rock mechanics to be solved.Based on the experimental results of the fractured rocklike materials,the localized progressive damage model is built.In this model,the representative volume element(RVE) is divided into the elastic zone and localized shear band according to the failure process and failure mechanisms of the fractured rocklike materials.The deformation process of the localized shear band is divided into cohesion weakening and friction strengthening phases.So,the emphasis in establishing the model is placed on the failure essence of the fractured rocklike materials,that is to say,the phases of cohesion weakening and friction strengthening should be exerted in tandem,which is discovered by the experiment.Moreover,in this model the processes of cohesion weakening and friction strengthening are represented by the damage variable which is defined in virtue of the relative sliding displacement of the shear band that represents the characteristics of the progressive failure process of the RVE.Furthermore,the chain model in localized band and homogenization method are adopted to combine the meso characteristics with the macro mechanical properties in this localized progressive damage model.Finally,based on the experimental results of M.Yumlu and M.U.Ozbay,the localized progressive damage model is validated.The result calculated through the localized progressive damage model agrees well with the experimental result,which proves the model is right.
引文
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[11]张平.裂隙介质静动应力条件下的破坏模式与局部化渐进破损模型研究[博士学位论文][D].西安:西安理工大学,2004.(Zhang Ping.Research on failure modes and localized progressive failure model of the cracked media under static and dynamic stress conditions[Ph.D.Thesis][D].Xi′an:Xi′an University of Technology,2004.(in Chinese))
[12]Zhou G L,Tham L G,Lee P K K,et al.A phenomenological constitutive model for rocks with shear failure mode[J].International Journal for Numerical and Analytical Methods in Geomachanics,2001,25(4):391–414.
[13]Hajiabdolmajid V,Kaiser P K,Martin C D.Modelling brittle failure of rock[J].International Journal of Rock Mechanics and Mining Sciences,2002,39(6):731–741.
[14]沈珠江.科学抽象在岩土力学研究中的意义[A].见:中国土木工程学会编.中国土木工程学会第九届土力学及岩土工程学术会议论文集(上册)[C].北京:清华大学出版社,2003.97–101.(Shen Zhujiang.Meaning of scientific abstract in geotechnical mechanics[A].In:China Civil Engineering Society ed.Proceedings of the 9th Soil Mechanics and Geotechnical Engineering Conference(Volume I)[C].Beijing:Tsinghua University Press,2003.97–101.(in Chinese))
[15]沈珠江.岩土破损力学:理想脆弹塑性模型[J].岩土工程学报,2003,25(3):253–257.(Shen Zhujiang.Breakage mechanics for geological materials:an ideal brittle-elasto-plastic model[J].Chinese Journal of Geotechnical Engineering,2003,25(3):253–257.(in Chinese))
[16]沈珠江,陈铁林.岩土破损力学:基本概念、目标和任务[A].见:中国岩石力学与工程学会主编.中国岩石力学与工程学会第七次学术大会论文集[C].北京:中国科学技术出版社,2002.9–12.(Shen Zhujiang,Chen Tielin.Breakage mechanics for geological materials:basic concepts,goal and task[A].In:Chinese Society for Rock Mechanics and Engineering ed.Proceedings of the 7th Rock Mechanics and Engineering Conference[C].Beijing:China Science and Technology Press,2002.9–12.(in Chinese))
[17]Krajcinovic D,Silva M A G.Statistical aspects of the continuous damage theory[J].International Journal of Solids and Structures,1982,18(7):551–-562.
[18]Brown E T,Hudson J A.Fatigue failure characteristics of some models of jointed rock[J].Earthquake Engineering and Structural Dynamics,1974,2(4):379–386.
[19]葛修润,蒋宇,卢允德,等.周期荷载作用下岩石疲劳变形特性试验研究[J].岩石力学与工程学报,2003,22(10):1 581–1 585.(Ge Xiurun,Jiang Yu,Lu Yunde,et al.Testing study on fatigue deformation law of rock under cyclic loading[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(10):1 581–1 585.(in Chinese))
[20]Yumlu M,Ozbay M U.Study of the behaviour of brittle rocks under plane strain and triaxial loading conditions[J].International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1995,32(7):725–733.
[2]刘元高,周维垣,赵吉东,等.裂隙岩体损伤局部化破坏分岔模型及其应用[J].力学学报,2003,35(4):411–418.(Liu Yuangao,Zhou Weiyuan,Zhao Jidong,et al.Discontinuous bifurcation model of damage localization for jointed rocks and its application[J].Acta Mechanica Sinica,2003,35(4):411–418.(in Chinese))
[3]王学滨,赵扬锋,代树红,等.地震块体模型的共轭剪切破裂带数值模拟[J].防灾减灾工程学报,2004,24(2):119–125.(Wang Xuebin,Zhao Yangfeng,Dai Shuhong,et al.Numerical simulation of conjugate shear fracture bands for seismic block model[J].Journal of Disaster Prevention and Mitigation Engineering,2004,24(2):119–125.(in Chinese))
[4]王庚荪.边坡的渐进破坏及稳定性分析[J].岩石力学与工程学报,2000,19(1):29–33.(Wang Gengsun.The progressive failure of slope and the stability analyses[J].Chinese Journal of Rock Mechanics and Engineering,2000,19(1):29–33.(in Chinese))
[5]Lajtai E Z.Strength of discontinuous rocks in direct shear[J].Geotechnique,1969,19(2):218–233.
[6]Wong R H C,Wang S W.Experimental and numerical study on the effect of material property,normal stress and the position of joint on the progressive failure under direct shear[A].In:Narms-tac2002,Mining and Tunnelling Innovation and Opportunity[C].Toronto:[s.n.],2002.1 009–1 016.
[7]Gehle C,Kutter H K.Breakage and shear behaviour of intermittent rock joints[J].International Journal of Rock Mechanics and Mining Sciences,2003,40(5):687–700.
[8]Wong R H C,Chau K T,Tang C A,et al.Analysis of crack coalescence in rock-like materials containing three flaws—part I:experimental approach[J].International Journal of Rock Mechanics and Mining Sciences,2001,38(7):909–924.
[9]Sagong M,Bobet A.Coalescence of multiple flaws in a rock-model material in uniaxial compression[J].International Journal of Rock Mechanics and Mining Sciences,2002,39(2):229–241.
[10]朱维申,李术才,陈卫忠.节理岩体破坏机制和锚固效应及工程应用[M].北京:科学出版社,2002.133–140.(Zhu Weishen,Li Shucai,Chen Weizhong.Fracture Mechanism and Anchoring Effect of Jointed Rock Mass and Its Application to Engineering[M].Beijing:Science Press,2002.133–140.(in Chinese))
[11]张平.裂隙介质静动应力条件下的破坏模式与局部化渐进破损模型研究[博士学位论文][D].西安:西安理工大学,2004.(Zhang Ping.Research on failure modes and localized progressive failure model of the cracked media under static and dynamic stress conditions[Ph.D.Thesis][D].Xi′an:Xi′an University of Technology,2004.(in Chinese))
[12]Zhou G L,Tham L G,Lee P K K,et al.A phenomenological constitutive model for rocks with shear failure mode[J].International Journal for Numerical and Analytical Methods in Geomachanics,2001,25(4):391–414.
[13]Hajiabdolmajid V,Kaiser P K,Martin C D.Modelling brittle failure of rock[J].International Journal of Rock Mechanics and Mining Sciences,2002,39(6):731–741.
[14]沈珠江.科学抽象在岩土力学研究中的意义[A].见:中国土木工程学会编.中国土木工程学会第九届土力学及岩土工程学术会议论文集(上册)[C].北京:清华大学出版社,2003.97–101.(Shen Zhujiang.Meaning of scientific abstract in geotechnical mechanics[A].In:China Civil Engineering Society ed.Proceedings of the 9th Soil Mechanics and Geotechnical Engineering Conference(Volume I)[C].Beijing:Tsinghua University Press,2003.97–101.(in Chinese))
[15]沈珠江.岩土破损力学:理想脆弹塑性模型[J].岩土工程学报,2003,25(3):253–257.(Shen Zhujiang.Breakage mechanics for geological materials:an ideal brittle-elasto-plastic model[J].Chinese Journal of Geotechnical Engineering,2003,25(3):253–257.(in Chinese))
[16]沈珠江,陈铁林.岩土破损力学:基本概念、目标和任务[A].见:中国岩石力学与工程学会主编.中国岩石力学与工程学会第七次学术大会论文集[C].北京:中国科学技术出版社,2002.9–12.(Shen Zhujiang,Chen Tielin.Breakage mechanics for geological materials:basic concepts,goal and task[A].In:Chinese Society for Rock Mechanics and Engineering ed.Proceedings of the 7th Rock Mechanics and Engineering Conference[C].Beijing:China Science and Technology Press,2002.9–12.(in Chinese))
[17]Krajcinovic D,Silva M A G.Statistical aspects of the continuous damage theory[J].International Journal of Solids and Structures,1982,18(7):551–-562.
[18]Brown E T,Hudson J A.Fatigue failure characteristics of some models of jointed rock[J].Earthquake Engineering and Structural Dynamics,1974,2(4):379–386.
[19]葛修润,蒋宇,卢允德,等.周期荷载作用下岩石疲劳变形特性试验研究[J].岩石力学与工程学报,2003,22(10):1 581–1 585.(Ge Xiurun,Jiang Yu,Lu Yunde,et al.Testing study on fatigue deformation law of rock under cyclic loading[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(10):1 581–1 585.(in Chinese))
[20]Yumlu M,Ozbay M U.Study of the behaviour of brittle rocks under plane strain and triaxial loading conditions[J].International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1995,32(7):725–733.
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