基于Mindlin解分析隧道开挖对近邻桩基的影响
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摘要
预测隧道开挖对邻近桩基产生的附件内力和变形对隧道建设具有重要意义。传统弹性地基梁法忽略了相邻桩-土界面单元的相互作用和桩-土界面的塑性变形,其预测结果与实际有较大出入。基于Mindlin解考虑桩-土界面单元相互作用,假设桩-土界面为理想弹塑性体,根据摩尔-库仑准则得出桩侧土体的极限剪应力和极限土压力,可由本构方程得出隧道开挖引起的桩基附加内力和变形的塑性解。将该方法得到的塑性解与离心试验结果进行对比,验证了该方法的合理性。新方法考虑了桩身相邻桩-土界面单元的相互作用,得到的附加变形较传统地基梁解大。最后,讨论了桩-土界面塑性变形对桩基附加内力及变形的影响,由于不考虑桩-土界面塑性变形,导致桩基附加内力和变形产生较大偏差,并且随着地层损失率增加,偏差增大。
Predicting the internal forces and deformation of the adjacent pile is significantly important for the impacts of tunnel excavation.The traditional elastic foundation beam method ignores the plastic deformation of pile-soil interface and its interaction,resulting error between actual results and predicted values.Based on Mindlin solution,we assume the interface is perfectly elastic-plastic for the pile-soil interactions,and derive the maximum shear stress and lateral soil pressure according to Mohr Coulomb criterion.From the constitutive equations,we derive the plastic solutions considering internal force and deformation of the pile due to tunneling.The validity of this new method can be verified by comparing the plastic solutions and the centrifugal test results.By accounting the plastic deformation in pile-soil interface,additional deformation by proposed procedure is greater than that by traditional foundation beam methods.Finally,the effects on the internal forces and deformation of adjacent pile are analyzed.Results show that large deviation of internal force and deformation in pile occurs in case where plastic deformation of pile-soil interface being ignored,and this deviation increases with the increase of ground loss rate.
Predicting the internal forces and deformation of the adjacent pile is significantly important for the impacts of tunnel excavation.The traditional elastic foundation beam method ignores the plastic deformation of pile-soil interface and its interaction,resulting error between actual results and predicted values.Based on Mindlin solution,we assume the interface is perfectly elastic-plastic for the pile-soil interactions,and derive the maximum shear stress and lateral soil pressure according to Mohr Coulomb criterion.From the constitutive equations,we derive the plastic solutions considering internal force and deformation of the pile due to tunneling.The validity of this new method can be verified by comparing the plastic solutions and the centrifugal test results.By accounting the plastic deformation in pile-soil interface,additional deformation by proposed procedure is greater than that by traditional foundation beam methods.Finally,the effects on the internal forces and deformation of adjacent pile are analyzed.Results show that large deviation of internal force and deformation in pile occurs in case where plastic deformation of pile-soil interface being ignored,and this deviation increases with the increase of ground loss rate.
引文
[1]MORTON J D,KING K H.Effects of tunneling on the bearing capacity and settlement of piled foundations[C]//Proceedings of Tunnelling.[S.1.]:[s.n.],1979,79:57-58.
[2]HERGARDEN H,VAN DER POEL J T,VAN DER SCHRIER J S.Ground movements due to tunneling:influence on pile foundations[C]//Proceedings of the International Symposium on Geotechnical Aspects of Underground Construction in Soft Ground.London:A.A.Balkema,1996:519-524.
[3]LOGANATHAN N,POULOS H Q STEWART D P.Centrifuge model testing of tunnelling-induced ground and pile deformations[J].Geotechnique,2000,50(3):283-294.
[4]JACOBSZ S W,STANDING J G,MAIR R J,et al.Centrifuge modelling of tunnelling near driven piles[J].Journal of the Japanese Geotechnical Society:Soils&Foundations,2004,44(1):49-56.
[5]ONG C W,LEUNG C F,CHOW Y K.Experimental study of tunnel-soil-pile interaction[C]//Proceedings of Underground Singapore.Singapore:National University of Singapore,2007:256-263.
[6]孙庆,杨敏,冉侠,等.隧道开挖对周围土体及桩基影响的试验研究[J].同济大学学报(自然科学版),2011,39(7):989-993.SUN Qing,YANG Min,RAN Xia,et al.Test study on tunneling-induced soil movements and pile responses[J].Journal of TongJi Uinversity(Natural Science),2011,39(7):989-993.
[7]NG C W W,SOOMRO M A,HONG Y.Threedimensional centrifuge modelling of pile group responses to side-by-side twin tunnelling[J].Tunnelling and Underground Space Technology,2014,43:350-361.
[8]MROUEH H,SHAHROUR I.Three-dimensional finite element analysis of the interaction between tunneling and pile foundations[J].International Journal for Numerical and Analytical Methods in Geomechanics,2002,26(3):217-230.
[9]LEE C J,JACOBSZ S W.The influence of tunnelling on adjacent piled foundations[J].Tunnelling and Underground Space Technology,2006,21(3):430.
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[11]朱逢斌,杨平,林水仙.盾构隧道施工对邻近承载桩基影响研究[J].岩土力学,2010,31(12):3894-3900.ZHU Feng-bin,YANG Ping,LIN Shui-xian.Study of influence of shield tunneling on neighboring loaded piles[J].Rock and Soil Mechanics,2010,31(12):3894-3990.
[12]杨超,黄茂松,刘明蕴.隧道施工对临近桩基影响的三维数值分析[J].岩石力学与工程学报,2007,26(增刊1):2601-2607.YANG Chao,HUANG Mao-song,LIU Ming-yun.ThreeDimensional numerical analysis of effect of tunnel construction on adjacent pile foundation[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(Supp.l):2601-2607.
[13]LEE C J.Three-dimensional numerical analyses of the response of a single pile and pile groups to tunnelling in weak weathered rock[J].Tunnelling and Underground Space Technology,2012,32(32):132-142.
[14]黄茂松,张宏博,陆荣欣.浅埋隧道施工对建筑物桩基的影响分析[J].岩土力学,2006,27(8):1379-1383.HUANG Mao-song,ZHANG Hong-bo,LU Rong-xin.Analysis of pile responses caused by tunneling[J].Rock and Soil Mechanics,2006,27(8):1379-1383.
[15]梁发云,于峰,李镜培,等.土体水平位移对邻近既有桩基承载性状影响分析[J].岩土力学,2010,31(2):449-454.LIANG Fa-yun,YU Feng,LI Jing-pei,et al.Analysis of bearing capacity of a single pile under adjacent building subjected to lateral soil movemens[J].Rock and Soil Mechanics,2010,31(2):449-454.
[16]ZHANG AIJUN,MO HAIHONG,ZHU ZHENDE.Theoretical elastio-plastic solution for piles subject to lateral soil movement[J].Procedia Earth and Planetary Science,2012,5(32):58-63.
[17]LIANG F,YU F,HAN J.A simplified analytical method for response of an axially loaded pile group subjected to lateral soil movement[J].KSCE Journal of Civil Engineering,2013,17(2):368-376.
[18]吴翔天.隧道开挖对桩基承载性状的影响分析及试验研究[D].西安:西安科技大学,2013.WU Xiang-tian.Research on the effect of tunneling on the bearing behavior of piles[D].Xi'an:Xi'an University of Science and Technology,2013.
[19]王雨,陈文化,王锦华.隧道开挖引起邻近单桩水平反应分析[J].岩土力学,2016,37(3):819-826.WANG Yu,CHEN Wen-hua,WANG Jin-hua.Lateral response of adjacent single pile due to tunneling[J].Rock and Soil Mechanics,2016,37(3):819-826.
[20]ZHANG R,ZHENG J,PU H,et al.Analysis of excavation-induced responses of loaded pile foundations considering unloading effect[J].Tunnelling and Underground Space Technology,2011,26(2):320-335.
[21]MINDLIN R D.Force at a point in the interior of a semi-infinite solid[J].Journal of Applied Physics,1936,7(5):195-202.
[22]吕凡任,陈云敏,梅英宝.一种基于Mindlin解的直桩沉降弹塑性分析方法[J].岩石力学与工程学报,2004,23(17):2988-2991.LU Fan-ren,CHEN Yun-min,MEI Ying-bao.Elastoplastic analysis method for vertical pile based on Mindin's solution[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(17):2988-2991.
[23]周平槐,杨学林.考虑开挖卸载影响的桩侧摩阻力等效计算方法[J].岩土力学,2016,37(10):2953-2960.ZHOU Ping-huai,YANG Xue-lin.An equivalent method for calculating side friction of pile considering excavation induced unloading effect[J].Rock and Soil Mechanics,2016,37(10):2953-2960
[24]KLAR A,VORSTER T E,SOGA K,et al.Elastoplastic solution for soil-pipe-tunnel interaction[J].Journal of Geotechnical and Geoenvironmental Engineering,2007,133(7):782-792.
[25]毛亚明,叶银灿.横向荷载作用下桩侧极限土抗力的上下限分析[J].海洋学研究,2010,28(3):90-96.MAO YA-ming,YE Yin-can.Analysis of upper and lower limits of the ultimate pile-side soil resistance under the action of transverse load[J].Journal of Marine Sciences,2010,28(3):90-96.
[26]LOGANATHAN N,POULOS H G Analytical prediction for tunneling-induced ground movements in clays[J].Journal of Geotechnical and Geoenvironmental Engineering,1998,124(9):846-856.
[27]HUANG M S,ZHANG C,LI Z.A simplified analysis method for the influence of tunneling on grouped piles[J].Tunnelling and Underground Space Technology,2009,24(4):410-422.
[28]胡建荣,王金昌,朱向荣.滑动土体与邻近桩基相互作用的弹塑性解[J].岩土力学,2011,32(11):3414-3419.HU Jian-rong,WANG Jin-chang,ZHU Xiang-rong.Elastoplastic solution for interaction between slipping soil and adjacent piles[J].Rock and Soil Mechanics,2011,32(11):3414-3419.
[2]HERGARDEN H,VAN DER POEL J T,VAN DER SCHRIER J S.Ground movements due to tunneling:influence on pile foundations[C]//Proceedings of the International Symposium on Geotechnical Aspects of Underground Construction in Soft Ground.London:A.A.Balkema,1996:519-524.
[3]LOGANATHAN N,POULOS H Q STEWART D P.Centrifuge model testing of tunnelling-induced ground and pile deformations[J].Geotechnique,2000,50(3):283-294.
[4]JACOBSZ S W,STANDING J G,MAIR R J,et al.Centrifuge modelling of tunnelling near driven piles[J].Journal of the Japanese Geotechnical Society:Soils&Foundations,2004,44(1):49-56.
[5]ONG C W,LEUNG C F,CHOW Y K.Experimental study of tunnel-soil-pile interaction[C]//Proceedings of Underground Singapore.Singapore:National University of Singapore,2007:256-263.
[6]孙庆,杨敏,冉侠,等.隧道开挖对周围土体及桩基影响的试验研究[J].同济大学学报(自然科学版),2011,39(7):989-993.SUN Qing,YANG Min,RAN Xia,et al.Test study on tunneling-induced soil movements and pile responses[J].Journal of TongJi Uinversity(Natural Science),2011,39(7):989-993.
[7]NG C W W,SOOMRO M A,HONG Y.Threedimensional centrifuge modelling of pile group responses to side-by-side twin tunnelling[J].Tunnelling and Underground Space Technology,2014,43:350-361.
[8]MROUEH H,SHAHROUR I.Three-dimensional finite element analysis of the interaction between tunneling and pile foundations[J].International Journal for Numerical and Analytical Methods in Geomechanics,2002,26(3):217-230.
[9]LEE C J,JACOBSZ S W.The influence of tunnelling on adjacent piled foundations[J].Tunnelling and Underground Space Technology,2006,21(3):430.
[10]CHENG C Y,DASARI G R,LEUNG C F,et al.3D numerical study of tunnel-soil-pile interaction[J].Tunnelling and Underground Space Technology,2004,19(4):381-382.
[11]朱逢斌,杨平,林水仙.盾构隧道施工对邻近承载桩基影响研究[J].岩土力学,2010,31(12):3894-3900.ZHU Feng-bin,YANG Ping,LIN Shui-xian.Study of influence of shield tunneling on neighboring loaded piles[J].Rock and Soil Mechanics,2010,31(12):3894-3990.
[12]杨超,黄茂松,刘明蕴.隧道施工对临近桩基影响的三维数值分析[J].岩石力学与工程学报,2007,26(增刊1):2601-2607.YANG Chao,HUANG Mao-song,LIU Ming-yun.ThreeDimensional numerical analysis of effect of tunnel construction on adjacent pile foundation[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(Supp.l):2601-2607.
[13]LEE C J.Three-dimensional numerical analyses of the response of a single pile and pile groups to tunnelling in weak weathered rock[J].Tunnelling and Underground Space Technology,2012,32(32):132-142.
[14]黄茂松,张宏博,陆荣欣.浅埋隧道施工对建筑物桩基的影响分析[J].岩土力学,2006,27(8):1379-1383.HUANG Mao-song,ZHANG Hong-bo,LU Rong-xin.Analysis of pile responses caused by tunneling[J].Rock and Soil Mechanics,2006,27(8):1379-1383.
[15]梁发云,于峰,李镜培,等.土体水平位移对邻近既有桩基承载性状影响分析[J].岩土力学,2010,31(2):449-454.LIANG Fa-yun,YU Feng,LI Jing-pei,et al.Analysis of bearing capacity of a single pile under adjacent building subjected to lateral soil movemens[J].Rock and Soil Mechanics,2010,31(2):449-454.
[16]ZHANG AIJUN,MO HAIHONG,ZHU ZHENDE.Theoretical elastio-plastic solution for piles subject to lateral soil movement[J].Procedia Earth and Planetary Science,2012,5(32):58-63.
[17]LIANG F,YU F,HAN J.A simplified analytical method for response of an axially loaded pile group subjected to lateral soil movement[J].KSCE Journal of Civil Engineering,2013,17(2):368-376.
[18]吴翔天.隧道开挖对桩基承载性状的影响分析及试验研究[D].西安:西安科技大学,2013.WU Xiang-tian.Research on the effect of tunneling on the bearing behavior of piles[D].Xi'an:Xi'an University of Science and Technology,2013.
[19]王雨,陈文化,王锦华.隧道开挖引起邻近单桩水平反应分析[J].岩土力学,2016,37(3):819-826.WANG Yu,CHEN Wen-hua,WANG Jin-hua.Lateral response of adjacent single pile due to tunneling[J].Rock and Soil Mechanics,2016,37(3):819-826.
[20]ZHANG R,ZHENG J,PU H,et al.Analysis of excavation-induced responses of loaded pile foundations considering unloading effect[J].Tunnelling and Underground Space Technology,2011,26(2):320-335.
[21]MINDLIN R D.Force at a point in the interior of a semi-infinite solid[J].Journal of Applied Physics,1936,7(5):195-202.
[22]吕凡任,陈云敏,梅英宝.一种基于Mindlin解的直桩沉降弹塑性分析方法[J].岩石力学与工程学报,2004,23(17):2988-2991.LU Fan-ren,CHEN Yun-min,MEI Ying-bao.Elastoplastic analysis method for vertical pile based on Mindin's solution[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(17):2988-2991.
[23]周平槐,杨学林.考虑开挖卸载影响的桩侧摩阻力等效计算方法[J].岩土力学,2016,37(10):2953-2960.ZHOU Ping-huai,YANG Xue-lin.An equivalent method for calculating side friction of pile considering excavation induced unloading effect[J].Rock and Soil Mechanics,2016,37(10):2953-2960
[24]KLAR A,VORSTER T E,SOGA K,et al.Elastoplastic solution for soil-pipe-tunnel interaction[J].Journal of Geotechnical and Geoenvironmental Engineering,2007,133(7):782-792.
[25]毛亚明,叶银灿.横向荷载作用下桩侧极限土抗力的上下限分析[J].海洋学研究,2010,28(3):90-96.MAO YA-ming,YE Yin-can.Analysis of upper and lower limits of the ultimate pile-side soil resistance under the action of transverse load[J].Journal of Marine Sciences,2010,28(3):90-96.
[26]LOGANATHAN N,POULOS H G Analytical prediction for tunneling-induced ground movements in clays[J].Journal of Geotechnical and Geoenvironmental Engineering,1998,124(9):846-856.
[27]HUANG M S,ZHANG C,LI Z.A simplified analysis method for the influence of tunneling on grouped piles[J].Tunnelling and Underground Space Technology,2009,24(4):410-422.
[28]胡建荣,王金昌,朱向荣.滑动土体与邻近桩基相互作用的弹塑性解[J].岩土力学,2011,32(11):3414-3419.HU Jian-rong,WANG Jin-chang,ZHU Xiang-rong.Elastoplastic solution for interaction between slipping soil and adjacent piles[J].Rock and Soil Mechanics,2011,32(11):3414-3419.