卵石土等效弹性模量理论预测模型初探
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摘要
卵石土是由卵石和土组成的、处于土和岩体之间的天然地质体,但其宏观力学特性完全不同于土和岩体。通过对成都地铁1号线隧道掘进机(TBM)施工现场调查可知,卵石地层可导致TBM刀具过量磨损、刀盘堵塞等非正常损坏,极大地影响了TBM施工效率,是TBM掘进极其不利的一种典型混合工作面。主要研究卵石土变形性能,建立在均匀应变基础上,假设卵石为理想圆形或椭圆形,从理论上得到卵石土等效弹性模量的解析预测公式。并通过数值试验验证了理论预测模型的有效性。结果表明,此模型预测结果与试验数据比较接近,可用来初步判断卵石地层等效弹性模量,有助于理解并提高该地层中的TBM掘进效率。
Cobblestone-soil is a natural geological situation consisting of cobblestones surrounded by soils.The mechanical performance of cobblestone-soil is between soil and rock mass and significant different from any component.Through the investigation in Chengdu Metro Line 1,the geological situation can result in a few non-normal damages(such as cutter wear,jam of roller cutterhead) and affects heavily the TBM performance.It is a typical mixed-face ground,which has an adverse influence on TBM tunnelling.This paper is intended to address the deformation problem of cobblestone-soil.Based on strain uniform assumption,analytic solutions were derived from the theoretical approach for equivalent elastic modulus while the cobblestone is assumed perfect circle and ellipse.The analytic solutions were validated by numerical modelling method.The results indicate that the equivalent elastic modulus derived from theoretical model and numerical is rather closely.The analytic solutions are helpful for improving the understanding of deformation for such ground condition and further to enhance TBM's performance.
Cobblestone-soil is a natural geological situation consisting of cobblestones surrounded by soils.The mechanical performance of cobblestone-soil is between soil and rock mass and significant different from any component.Through the investigation in Chengdu Metro Line 1,the geological situation can result in a few non-normal damages(such as cutter wear,jam of roller cutterhead) and affects heavily the TBM performance.It is a typical mixed-face ground,which has an adverse influence on TBM tunnelling.This paper is intended to address the deformation problem of cobblestone-soil.Based on strain uniform assumption,analytic solutions were derived from the theoretical approach for equivalent elastic modulus while the cobblestone is assumed perfect circle and ellipse.The analytic solutions were validated by numerical modelling method.The results indicate that the equivalent elastic modulus derived from theoretical model and numerical is rather closely.The analytic solutions are helpful for improving the understanding of deformation for such ground condition and further to enhance TBM's performance.
引文
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[2]台佳佳,邓建辉,谢和平,等.汶川大地震中映秀-虹口地区的地表破裂[J].四川大学学报(工程科学版),2009,41(3):109-118.TAI Jia-jia,DENG Jian-hui,XIE He-ping,et al.Surface ruptures induced by associated Wenchuan earthquake in Yingxiu and Hongkou area[J].Journal of Sichuan University(Engineering Science Edition),2009,41(3):109-118.
[3]ZHAO J.Keynote:Tunnelling in rocks—present technology and future challenges[C]//Underground Space.London:Taylor and Francis,2007:22-32.
[4]杨兴国,王烈恩,曹鹏飞,等.大型地下洞室群施工交通运输仿真分析[J].四川大学学报(工程科学版),2008,40(2):49-52.YANG Xing-guo,WANG Lie-en,CAO Peng-fei,et al.Construction traffic and transport simulation of large scale underground adits[J].Journal of Sichuan University(Engineering Science Edition),2008,40(2):49-52.
[5]ZHAO J,GONG Q M,EISENSTEN Z.Tunnelling through a frequently changing and mixed ground:A case history in Singapore[J].Tunnelling and Underground Space Technology,2007,22(4):388-400.
[6]STEINGRIMSSON J H,GRV E,NILSEN B.The significance of mixed-face conditions for TBM perfor-mance[C]//Mixed Face TBM Performance.Sydney:World Tunnelling,2002:435-441.
[7]BLINDHEIM O T,GR?V E,NILSEN B.The effect of mixed face conditions(MFC)on hard rock TBM performance[C]//Mixed Face TBM Performance.Sydney:World Tunnelling,2002:400-407.
[8]GONG Q M,ZHAO J,ZHANG X H.The influence of mixed face ground on TBM performance[C]//The 2nd International Geo-Changsha Conference.Singapore:CI-Premier Conference Organisation,2007:117-123.
[9]HASHIN Z.Theory of mechanical behavior of heterogeneous media[J].Applied Mechanics Reviews,1964,17(1):1-9.
[10]BISHOP C M,TANG M,CANNON R M,et al.Continuum modelling and representations of interfaces and their transitions in materials[J].Materials Science and Engineering:A,2006,422(1-2):102-114.
[11]LEE H K,PYO S H.Multi-level modeling of effective elastic behavior and progressive weakened interface in particulate composites[J].Composites Science and Technology,2008,68(2):387-397.
[12]WANG M,PAN N.Predictions of effective physical properties of complex multiphase materials[J].Materials Science and Engineering:R,2008,63(1):1-30.
[13]WONG C P,BOLLAMPALLY R S.Thermal conductivity,elastic modulus,and coefficient of thermal expansion of polymer composites filled with ceramic particles for electronic packaging[J].Journal of Applied Polymer Science,1999,74(14):3396-3403.
[14]VEKINIS G,SOFIANOPOULOS E,TOMLINSON W J.Alumina toughened with short nickel fibres[J].Acta Materialia,1997,45(11):4651-4661.
[15]HASHIN Z,SHTRIKMAN S.A variational approach to the theory of the elastic behaviour of multiphase materials[J].Journal of the Mechanics and Physics of Solids,1963,11(2):127-140.
[16]PAUL B.Prediction of elastic constants of multiphase materials[J].Transactions of the Metallurgical Society of AIME,1960,218 36-41.
[17]罗国煜,李生林.工程地质学基础[M].南京:南京大学出版社,1990.
[18]HOLTZ W G,GIBBS H J.Triaxial shear tests on pervious gravelly soils[J].Journal of the Soil Mechanics and Foundations Engineering Division,ASCE,1956,82(1):1-22.
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