水泥搅拌桩复合土钉在基坑支护中的应用研究
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摘要
基坑支护技术是岩土工程中的热点问题,传统土钉支护有其自身的局限性,适用范围受到限制,复合土钉支护应运而生。水泥搅拌桩与土钉复合支护是一种常用的方法,其用水泥土搅拌桩作为止水帷幕,具有工期短,造价低,施工对周围环境影响小等特点,在地下水位较高,土质较软的沿海地区基坑支护中得到广泛应用。但是复合土钉支护的的理论研究相对落后,需要继续深入研究,完善其设计计算理论和方法。本文以某基坑工程为背景,结合有限元软件ABAQUS对水泥搅拌桩复合土钉支护的变形和内力进行了分析。主要工作和研究内容如下：
(1)阐述了土钉支护和复合土钉支护技术的形成、发展和研究现状以及复合土钉支护的概念。综合分析了水泥搅拌桩复合土钉支护的工作机理,探讨了水泥搅拌桩复合土钉支护稳定性验算方法。
(2)结合工程实例,通过现场测试,分析水泥搅拌桩复合土钉支护的变形性状。得出基坑水平位移随基坑的开挖逐渐增大,最大水平位移与开挖深度成线性关系。地表沉降受工期和土体固结影响较大。采用正态分布概率密度函数拟合地表沉降曲线的方法预测地面沉降,取得较好的效果。
(3)利用有限元软件ABAQUS对复合土钉支护进行有限元模拟,分析了水泥搅拌桩复合土钉支护的变形和内力的规律。结果表明复合土钉支护基坑的地面沉降及侧向变形均与实际情况较为吻合,搅拌桩水平位移最大值在基坑的中下部,地表沉降最大值出现在搅拌桩后1倍开挖深度附近。水泥搅拌桩复合土钉支护中土钉的轴力几乎沿全长递减,最大值出现在墙后的联结点上。
Excavation retaining technology is a hot topic in geotechnical engineering. Conventional soil nailing has its own limitations, limiting the scope of its usage, so emerged the composite soil nailing. Cement mixed pile composite soil nailing is a common method in which cement mixed piles are used as membrane barrier curtains, with advantages such as short construction length, low cost, little influence on the environment. This method has been widely applied in coastal areas where underground water level is high and the soil is relatively soft. But the research on this method is relatively backward, which means further efforts are needed to improve the theory and method for its designing and calculating. Based on a foundation pit project, using ABAQUS software, this paper analyzes the deformation and internal forces of cement mixed pile composite soil nailing. The main work and research contents of the paper are as follows:
(1) This paper elaborates the formation, development and research status quo of soil nailing technology and composite soil nailing technology, and clearly illustrates the definition of composite soil nailing. Comprehensive analysis of the working mechanism of cement mixed pile composite soil nailing, and investigates the methods of checking computations for the stability of cement mixed pile composite soil nailing.
(2) Combined with the project, this paper analyzed the deformation behavior of cement mixed pile composite soil nailing by field testing. Reached conclusion that the horizontal displacement of foundation pit increases during the construction process. Duration and soil consolidation have greater impact on surface sedimentation. The maximum horizontal displacement has a linear relationship with the depth of excavation. normal distribution probability density function is used to check the surface sedimentation, and getting the better prediction results.
(3) Simulated the composite soil nailing with finite element method by ABAQUS software. this paper Analyzes the rules of deformation and internal force of composite soil nailing. The results show that the finite element method can simulate the field performance fairly well. The maximum horizontal displacement of the mixed pile is in the middle lower part of the foundation pit, while the maximum of the sedimentation is about the same as the depth of the excavation behind the mixed pile. For the cement mixed pile composite soil nailing, the axial force in soil nails almost decreases along the length of the nail, with the maximum appearing on the connecting point between Cement mixed pile and nail.
(1)阐述了土钉支护和复合土钉支护技术的形成、发展和研究现状以及复合土钉支护的概念。综合分析了水泥搅拌桩复合土钉支护的工作机理,探讨了水泥搅拌桩复合土钉支护稳定性验算方法。
(2)结合工程实例,通过现场测试,分析水泥搅拌桩复合土钉支护的变形性状。得出基坑水平位移随基坑的开挖逐渐增大,最大水平位移与开挖深度成线性关系。地表沉降受工期和土体固结影响较大。采用正态分布概率密度函数拟合地表沉降曲线的方法预测地面沉降,取得较好的效果。
(3)利用有限元软件ABAQUS对复合土钉支护进行有限元模拟,分析了水泥搅拌桩复合土钉支护的变形和内力的规律。结果表明复合土钉支护基坑的地面沉降及侧向变形均与实际情况较为吻合,搅拌桩水平位移最大值在基坑的中下部,地表沉降最大值出现在搅拌桩后1倍开挖深度附近。水泥搅拌桩复合土钉支护中土钉的轴力几乎沿全长递减,最大值出现在墙后的联结点上。
Excavation retaining technology is a hot topic in geotechnical engineering. Conventional soil nailing has its own limitations, limiting the scope of its usage, so emerged the composite soil nailing. Cement mixed pile composite soil nailing is a common method in which cement mixed piles are used as membrane barrier curtains, with advantages such as short construction length, low cost, little influence on the environment. This method has been widely applied in coastal areas where underground water level is high and the soil is relatively soft. But the research on this method is relatively backward, which means further efforts are needed to improve the theory and method for its designing and calculating. Based on a foundation pit project, using ABAQUS software, this paper analyzes the deformation and internal forces of cement mixed pile composite soil nailing. The main work and research contents of the paper are as follows:
(1) This paper elaborates the formation, development and research status quo of soil nailing technology and composite soil nailing technology, and clearly illustrates the definition of composite soil nailing. Comprehensive analysis of the working mechanism of cement mixed pile composite soil nailing, and investigates the methods of checking computations for the stability of cement mixed pile composite soil nailing.
(2) Combined with the project, this paper analyzed the deformation behavior of cement mixed pile composite soil nailing by field testing. Reached conclusion that the horizontal displacement of foundation pit increases during the construction process. Duration and soil consolidation have greater impact on surface sedimentation. The maximum horizontal displacement has a linear relationship with the depth of excavation. normal distribution probability density function is used to check the surface sedimentation, and getting the better prediction results.
(3) Simulated the composite soil nailing with finite element method by ABAQUS software. this paper Analyzes the rules of deformation and internal force of composite soil nailing. The results show that the finite element method can simulate the field performance fairly well. The maximum horizontal displacement of the mixed pile is in the middle lower part of the foundation pit, while the maximum of the sedimentation is about the same as the depth of the excavation behind the mixed pile. For the cement mixed pile composite soil nailing, the axial force in soil nails almost decreases along the length of the nail, with the maximum appearing on the connecting point between Cement mixed pile and nail.
引文
[1]赵锡宏,李蓓等,大型超深基坑工程实践与理论[M].北京：人民交通出版社,2004.9
[2]李海深复合型土钉支护工作性能的研究.[湖南大学博士学位论文].长沙.湖南大学,2004
[3]陈肇元,崔京浩.土钉支护在基坑工程中的应用[M].北京：中国建筑工业出版社,1997
[4]周龙翔,土钉在基坑和边坡支护中的应用[J].见：广东省岩石力学与工程学会编.岩石力学与工程新进展.广州：华南理工大学出版社,1996：60-67
[5]程良奎,杨志银编著.喷射混凝土与土钉墙[M].北京：中国建筑工业出版社,1998
[6]程良奎,张作帽,杨志银.岩土加固实用技术[M].北京：地震出版社,1994
[7]程良奎,范景伦.土钉墙技术的研究与应用[M].见：中国岩土锚固工程协会编.岩土锚固工程技术.北京：人民交通出版社,1996：21-27
[8]叶书麟,韩杰,叶观宝编著.地基处理与托换技术[M].北京：中国建筑工业出版社,1994：484-514
[9]杨志银,土钉支护技术中的新发展[J],岩土锚固协会论文集,中国建筑工业出版社,1996
[10]胡井友,复合土钉支护稳定性分析及工程应用研究[M].西南交通大学,2004
[11]Gassler, G.&Gudenhus, G. Soil Nailing-Some Aspects of a New Technique, Pro.ICSMEF,1981, Vol.3:665-670
[12]Schlosser, F. Soil Nailing in France-Research and Practice, Transportation Research Record 1330, Transportation Research Board, Washington, D. C., 1992
[13]Bruce, D. A.&Jewell, R. A. Soil Nailing:Application and Practice-Part 1. Ground Engineering,1986,19(12):10-15
[14]Bruce, D. A.&Jewell, R. A. Soil Nailing: Application and Practice-Part 2. Ground Engineering,1987,20(1):21-23
[15]Plumelle, C.&Schlosser, F. French National Research Project CLOUTERRE on Soil Nailing, Geotechnical Special Publication, ASCE,1990, No.25:661-675
[16]Schlosser, F.&Unterreiner, P. French Research Program CLOUTERRE on Soil Nailing, Geotechnical Special Publication, ASCE,1992, Vol.2, No.30
[17]Scientific Committee of the French National Project CLOUTERRE (President: F.Schlosser) Recommendations CLOUTERRE 1991 for Designing, Calculating, Constructing and Inspecting Earth Support Systems Using Soil Nailing, FHWA/SA-93/026,1993
[18]Byrne, R. J, Walkingshaw, J. L. FHWA International Scanning Tour for Geotechnology, September-Octomber 1992, FHWA/PL93/020, June 1993
[19]Stocker, M. F. Soil Nailing. Proc. Int. Conf. on Soil Reinforcement, Paris, French,1979:635-648
[20]Stocker, M. F. ect. The Bearing Behavior of Nailed Retaining Structures, Geotechnical Special Publication, ASCE,1990, No.25:612-628
[21]Elias, V. & Juran, I. Soil Nailing for Stabilization of Highway Slopes and Excavations. FHWA/RD-89/198, Jun 1991:868-905
[22]Juran, I. & Elias, V. Ground Anchors and Soil Nails in Retaining Structures, Foundation Engineering Handbook, Chapter 26, Fang. H. Y. (Ed.), Van Nostrad Beinhold Pub.,1991:868-906
[23]Xanthakos, P. P., Abramson, J. W.&Bruce, D. A. Ground control and Improvement, John Weily&Sons Pub.,1994:331-405
[24]Bang, S. Investigation of Soil Nailing Systems. Advances in Geotechnical Engineering, Transport Research Record 1396,1992
[25]Christopher, B. R., Gill, S. A. Reinforced Soil Structures. Volume 1, Design and Construction Guidelines, FHWA/RD-89/043, Nov.1990
[26]Porterfield, J. A. Soil Nailing Field Inspectors Manual:Soil Nail Walls. FHWA/SA-93/068,Apr.1994
[27]Ingold, T. S. & Myles, B. Ballistic Soil Nailing. Earth Reinforcement, Ochiai, Yasufuku & Omine (eds), Balkeman, Rotterdam,1996:765-770
[28]曾宪明,曾荣生编著.岩土深基坑喷锚网支护原理—设计施工指南[J].上海：同济大学出版社,1997,95-105
[29]张峰、杨生贵、杜建东.土钉支护技术在深基坑开挖中的应用[J].建筑科学,1999,15(2),29-31
[30]建设部建[1998]200号文件.建筑业10项新技术.建筑技术开发1999,26(1)：10-15
[31]Shen, C. K., Bang, S., Herrmann, L. R.. Ground Movement Analysis of Earth Support Systems[J]. Journal of the Geotechnical Engineering Division, 1981,107(12):1609-1624
[32]林希强：基坑复合土钉支护全过程内力及变形研究.[中国地质大学大学博士学位论文].武汉.中国地质大学大学,2003
[33]俞季民,邹勇.土钉支护结构模型试验研究[J].土工基础,1998,12(1)：14-19
[34]莫暖娇,何之民,陈利洲.土钉墙模型试验分析[J].上海地质,1999,3：47-49
[35]陈福全,马时东.土钉加固边坡的离心模型试验与分析[J].工业建筑.1999,29(9)：12-15
[36]Schlosser, F. Behavior and Design of Soil Nailing, Proc. Of Symposium on Recent Developments in Ground Improvement Techniques. Bangkok, nov.29, 1982
[37]Bridle, R. J. Soil Nailing Analysis and Design, Ground Engineering,Sep.1989
[38]张明聚,宋二祥等.基坑土钉支护稳定分析方法及其应用[J].工程力学,1998,15(3)：36-43
[39]张明聚,杨兴堂.土钉支护稳定性的参数分析[J].石家庄铁道学院学报,2000,13(3)：24-27
[40]王安宝,史维汾等.土钉支护的稳定分析(条分法结合复形调优法)[J].地下空间,1997.17(1)：1-8
[41]王安宝,史维汾,王国俊.土钉支护的稳定分析—条分法结合复形调优法[J].地下空间.1997,17(1)：1-8
[42]罗晓辉.土体有限变形理论的弹性本构关系之辨析[J].武汉城市建设学院学报2000,17(2)
[43]C. K.Shen, Bang, S., etal. Ground Movement Analysis of Earth Support System, J. Geotech.Eng., ASCE, Dec.1981
[44]Smith, I. M. Three-dimensional analysis of reinforced and nailed soil. In:Pande, Pietruszczak, eds. Numerical models in geomechanics, Balkema, Rotterdam, 1992:829-838
[45]宋二祥,陈肇元.土钉支护的有限元分析[J].工程勘察,1996,(2)：1-5
[46]宋二祥.盾构施工隧道衬砌内力内力及地表沉降计算[J].建筑结构,1999,(2)：23-26
[47]陈肇元,崔京浩,宋二祥,张鑫,深基开挖的土钉支护技术(一)[J],地下空间,Vol.15, No.4,1995,241-249
[48]赵国景,崔岩,吴世红,土钉支护有限元计算方法研究[J],工程力学,Vol.18, No.4,2001,145-150
[49]崔岩,张鑫,深基坑土钉支护的有限元分析[J],工程力学,Vol.13, No.2, 1996,103-109
[50]钟正雄,复合型土钉墙的受力变形与承载机理的研究,[同济大学博士学位
论文],2000
[51]程良奎,刘启深.岩土锚固技术的应用与发展[M].北京：万国学术出版社,1996
[52]肖毅等.钉锚结合支护的模型试验研究[J].武汉水利电力大学报.1999,32(1)：73-77.
[53]李象范,徐水根.复合型土钉挡墙的研究[J].上海地质,1999,3：1-11
[54]徐水根,张忠明等.软土地基中的复合土钉支护[J].上海地质,1999,3：12-15
[55]李象范,何之民,徐水根.淤泥地层中复合土钉墙的受力及变形性状[J].1999(3)：16-27
[56]中华人民共和国建设部,(GB5007-2002)《建筑地基基础设计规范》[S],北京.2002
[57]赵永伦.土钉支护的工作性能分析及稳定性计算程序的研制.[申请硕士学位论文],上海.同济大学.1999
[58]胡杨生.软土地区复合土钉墙支护机理及稳定性研究：[硕士学位论文].武汉.武汉理工大学.2006
[59]夏明耀,曾进伦.地下工程设计施工手册仁[M].中国建筑工业出版社,1999
[60]冯涛.搅拌桩与微预应力土钉复合支护体系的稳定与变形分析：[硕士学位论文].广州.广州大学.2007
[61]龚晓南.深基坑支护设计手册[M].北京：中国建筑工业出版社,1999
[62]池鹏.深基坑围护结构变形规律监测及其优化研究.[硕士学位论文],西安.西安科技大学.2008
[63]王建军.基坑支护现场试验研究与数值分析.[博士学位论文],北京.中国建筑科学研究院.2006
[64]唐孟雄陈如桂陈伟.深基坑工程变形控制[M].北京：中国建筑工业出版社,2006
[65]吴琦琪.复合型土钉支护结构有限元数值分析：[硕士学位论文].杭州：浙江大学.2004
[66]高玲.深基坑复合土钉支护变形及稳定性分析：[硕士学位论文].青岛：中国石油大学.2009
[67]张宗领.复合土钉支护施工过程及地震作用下的有限元分析：[硕士学位论文].苏州：苏州理工大学.2007
[68]江见鲸.有限元法及其应用[M].北京：机械工业出版社.2006
[69]周昌玉,贺小华.有限元分析的基本方法及工程应用[M].北京：化学工业出版社.2006
[70]朱以文,蔡元奇,徐晗ABAQUS与岩土工程分析[M].香港：中国图书出版社,2005
[71]张永昌.深基坑工程流固藕合分析：[硕士学位论文].南京：河海大学.2007
[72]何俏江.土钉—面层—土体的共同作用分析：[硕士学位论文].杭州：浙江大学.2007
[73]高志辉.有限元边坡稳定参数敏感性分析：[硕士学位论文].北京：北京工业大学.2007
[74]庞晓明.水泥土搅拌桩复合土钉支护基坑的变形与稳定性分析：[硕士学位论文].上海：上海交通大学.2007
[75]秦四清,王建党等著.土钉支护机理与优化设计[M].北京：地质出版社1999.
[2]李海深复合型土钉支护工作性能的研究.[湖南大学博士学位论文].长沙.湖南大学,2004
[3]陈肇元,崔京浩.土钉支护在基坑工程中的应用[M].北京：中国建筑工业出版社,1997
[4]周龙翔,土钉在基坑和边坡支护中的应用[J].见：广东省岩石力学与工程学会编.岩石力学与工程新进展.广州：华南理工大学出版社,1996：60-67
[5]程良奎,杨志银编著.喷射混凝土与土钉墙[M].北京：中国建筑工业出版社,1998
[6]程良奎,张作帽,杨志银.岩土加固实用技术[M].北京：地震出版社,1994
[7]程良奎,范景伦.土钉墙技术的研究与应用[M].见：中国岩土锚固工程协会编.岩土锚固工程技术.北京：人民交通出版社,1996：21-27
[8]叶书麟,韩杰,叶观宝编著.地基处理与托换技术[M].北京：中国建筑工业出版社,1994：484-514
[9]杨志银,土钉支护技术中的新发展[J],岩土锚固协会论文集,中国建筑工业出版社,1996
[10]胡井友,复合土钉支护稳定性分析及工程应用研究[M].西南交通大学,2004
[11]Gassler, G.&Gudenhus, G. Soil Nailing-Some Aspects of a New Technique, Pro.ICSMEF,1981, Vol.3:665-670
[12]Schlosser, F. Soil Nailing in France-Research and Practice, Transportation Research Record 1330, Transportation Research Board, Washington, D. C., 1992
[13]Bruce, D. A.&Jewell, R. A. Soil Nailing:Application and Practice-Part 1. Ground Engineering,1986,19(12):10-15
[14]Bruce, D. A.&Jewell, R. A. Soil Nailing: Application and Practice-Part 2. Ground Engineering,1987,20(1):21-23
[15]Plumelle, C.&Schlosser, F. French National Research Project CLOUTERRE on Soil Nailing, Geotechnical Special Publication, ASCE,1990, No.25:661-675
[16]Schlosser, F.&Unterreiner, P. French Research Program CLOUTERRE on Soil Nailing, Geotechnical Special Publication, ASCE,1992, Vol.2, No.30
[17]Scientific Committee of the French National Project CLOUTERRE (President: F.Schlosser) Recommendations CLOUTERRE 1991 for Designing, Calculating, Constructing and Inspecting Earth Support Systems Using Soil Nailing, FHWA/SA-93/026,1993
[18]Byrne, R. J, Walkingshaw, J. L. FHWA International Scanning Tour for Geotechnology, September-Octomber 1992, FHWA/PL93/020, June 1993
[19]Stocker, M. F. Soil Nailing. Proc. Int. Conf. on Soil Reinforcement, Paris, French,1979:635-648
[20]Stocker, M. F. ect. The Bearing Behavior of Nailed Retaining Structures, Geotechnical Special Publication, ASCE,1990, No.25:612-628
[21]Elias, V. & Juran, I. Soil Nailing for Stabilization of Highway Slopes and Excavations. FHWA/RD-89/198, Jun 1991:868-905
[22]Juran, I. & Elias, V. Ground Anchors and Soil Nails in Retaining Structures, Foundation Engineering Handbook, Chapter 26, Fang. H. Y. (Ed.), Van Nostrad Beinhold Pub.,1991:868-906
[23]Xanthakos, P. P., Abramson, J. W.&Bruce, D. A. Ground control and Improvement, John Weily&Sons Pub.,1994:331-405
[24]Bang, S. Investigation of Soil Nailing Systems. Advances in Geotechnical Engineering, Transport Research Record 1396,1992
[25]Christopher, B. R., Gill, S. A. Reinforced Soil Structures. Volume 1, Design and Construction Guidelines, FHWA/RD-89/043, Nov.1990
[26]Porterfield, J. A. Soil Nailing Field Inspectors Manual:Soil Nail Walls. FHWA/SA-93/068,Apr.1994
[27]Ingold, T. S. & Myles, B. Ballistic Soil Nailing. Earth Reinforcement, Ochiai, Yasufuku & Omine (eds), Balkeman, Rotterdam,1996:765-770
[28]曾宪明,曾荣生编著.岩土深基坑喷锚网支护原理—设计施工指南[J].上海：同济大学出版社,1997,95-105
[29]张峰、杨生贵、杜建东.土钉支护技术在深基坑开挖中的应用[J].建筑科学,1999,15(2),29-31
[30]建设部建[1998]200号文件.建筑业10项新技术.建筑技术开发1999,26(1)：10-15
[31]Shen, C. K., Bang, S., Herrmann, L. R.. Ground Movement Analysis of Earth Support Systems[J]. Journal of the Geotechnical Engineering Division, 1981,107(12):1609-1624
[32]林希强：基坑复合土钉支护全过程内力及变形研究.[中国地质大学大学博士学位论文].武汉.中国地质大学大学,2003
[33]俞季民,邹勇.土钉支护结构模型试验研究[J].土工基础,1998,12(1)：14-19
[34]莫暖娇,何之民,陈利洲.土钉墙模型试验分析[J].上海地质,1999,3：47-49
[35]陈福全,马时东.土钉加固边坡的离心模型试验与分析[J].工业建筑.1999,29(9)：12-15
[36]Schlosser, F. Behavior and Design of Soil Nailing, Proc. Of Symposium on Recent Developments in Ground Improvement Techniques. Bangkok, nov.29, 1982
[37]Bridle, R. J. Soil Nailing Analysis and Design, Ground Engineering,Sep.1989
[38]张明聚,宋二祥等.基坑土钉支护稳定分析方法及其应用[J].工程力学,1998,15(3)：36-43
[39]张明聚,杨兴堂.土钉支护稳定性的参数分析[J].石家庄铁道学院学报,2000,13(3)：24-27
[40]王安宝,史维汾等.土钉支护的稳定分析(条分法结合复形调优法)[J].地下空间,1997.17(1)：1-8
[41]王安宝,史维汾,王国俊.土钉支护的稳定分析—条分法结合复形调优法[J].地下空间.1997,17(1)：1-8
[42]罗晓辉.土体有限变形理论的弹性本构关系之辨析[J].武汉城市建设学院学报2000,17(2)
[43]C. K.Shen, Bang, S., etal. Ground Movement Analysis of Earth Support System, J. Geotech.Eng., ASCE, Dec.1981
[44]Smith, I. M. Three-dimensional analysis of reinforced and nailed soil. In:Pande, Pietruszczak, eds. Numerical models in geomechanics, Balkema, Rotterdam, 1992:829-838
[45]宋二祥,陈肇元.土钉支护的有限元分析[J].工程勘察,1996,(2)：1-5
[46]宋二祥.盾构施工隧道衬砌内力内力及地表沉降计算[J].建筑结构,1999,(2)：23-26
[47]陈肇元,崔京浩,宋二祥,张鑫,深基开挖的土钉支护技术(一)[J],地下空间,Vol.15, No.4,1995,241-249
[48]赵国景,崔岩,吴世红,土钉支护有限元计算方法研究[J],工程力学,Vol.18, No.4,2001,145-150
[49]崔岩,张鑫,深基坑土钉支护的有限元分析[J],工程力学,Vol.13, No.2, 1996,103-109
[50]钟正雄,复合型土钉墙的受力变形与承载机理的研究,[同济大学博士学位
论文],2000
[51]程良奎,刘启深.岩土锚固技术的应用与发展[M].北京：万国学术出版社,1996
[52]肖毅等.钉锚结合支护的模型试验研究[J].武汉水利电力大学报.1999,32(1)：73-77.
[53]李象范,徐水根.复合型土钉挡墙的研究[J].上海地质,1999,3：1-11
[54]徐水根,张忠明等.软土地基中的复合土钉支护[J].上海地质,1999,3：12-15
[55]李象范,何之民,徐水根.淤泥地层中复合土钉墙的受力及变形性状[J].1999(3)：16-27
[56]中华人民共和国建设部,(GB5007-2002)《建筑地基基础设计规范》[S],北京.2002
[57]赵永伦.土钉支护的工作性能分析及稳定性计算程序的研制.[申请硕士学位论文],上海.同济大学.1999
[58]胡杨生.软土地区复合土钉墙支护机理及稳定性研究：[硕士学位论文].武汉.武汉理工大学.2006
[59]夏明耀,曾进伦.地下工程设计施工手册仁[M].中国建筑工业出版社,1999
[60]冯涛.搅拌桩与微预应力土钉复合支护体系的稳定与变形分析：[硕士学位论文].广州.广州大学.2007
[61]龚晓南.深基坑支护设计手册[M].北京：中国建筑工业出版社,1999
[62]池鹏.深基坑围护结构变形规律监测及其优化研究.[硕士学位论文],西安.西安科技大学.2008
[63]王建军.基坑支护现场试验研究与数值分析.[博士学位论文],北京.中国建筑科学研究院.2006
[64]唐孟雄陈如桂陈伟.深基坑工程变形控制[M].北京：中国建筑工业出版社,2006
[65]吴琦琪.复合型土钉支护结构有限元数值分析：[硕士学位论文].杭州：浙江大学.2004
[66]高玲.深基坑复合土钉支护变形及稳定性分析：[硕士学位论文].青岛：中国石油大学.2009
[67]张宗领.复合土钉支护施工过程及地震作用下的有限元分析：[硕士学位论文].苏州：苏州理工大学.2007
[68]江见鲸.有限元法及其应用[M].北京：机械工业出版社.2006
[69]周昌玉,贺小华.有限元分析的基本方法及工程应用[M].北京：化学工业出版社.2006
[70]朱以文,蔡元奇,徐晗ABAQUS与岩土工程分析[M].香港：中国图书出版社,2005
[71]张永昌.深基坑工程流固藕合分析：[硕士学位论文].南京：河海大学.2007
[72]何俏江.土钉—面层—土体的共同作用分析：[硕士学位论文].杭州：浙江大学.2007
[73]高志辉.有限元边坡稳定参数敏感性分析：[硕士学位论文].北京：北京工业大学.2007
[74]庞晓明.水泥土搅拌桩复合土钉支护基坑的变形与稳定性分析：[硕士学位论文].上海：上海交通大学.2007
[75]秦四清,王建党等著.土钉支护机理与优化设计[M].北京：地质出版社1999.