Advanced Search
  • 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引（EI）收录期刊
  • Scopus数据库收录期刊
Volume 36 Issue 5
Turn off MathJax
Article Contents
Abstract
References
ZHOU Hang, KONG Gang-qiang, LIU Han-long. Elasto-plastic solution for elliptical cavity expansion in saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(5): 983-988. DOI: 10.11779/CJGE201405025
Citation: ZHOU Hang, KONG Gang-qiang, LIU Han-long. Elasto-plastic solution for elliptical cavity expansion in saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(5): 983-988. DOI: 10.11779/CJGE201405025
shu

Elasto-plastic solution for elliptical cavity expansion in saturated soils

  • 1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China; 2. College of Civil and Transportation Engineering, Hohai University, Nanjing 210098, China

More Information
  • Received Date: September 01, 2013
  • Published Date: May 20, 2014
    Graphical Abstract
    • Abstract
  • The cavity expansion theory has been widely used in geotechnical engineering as a mature theoretical tool. However, many practice problems are related to elliptical cavity expansion rather than cylindrical cavity expansion. The elliptical cavity on the physical plane is mapped to the unit circle on the phase plane by conformal mapping method, and the velocity boundary condition caused by the elliptical cavity expansion on the physical plane is transformed to the phase plane. The elasto-plastic solution of displacement-controlled elliptical cavity expansion is presented by the plane complex variable elasticity method. This solution is compared with the Gibson's elasto-plastic cylindrical cavity expansion solution, and the reliability of this study is verified. Then, the proposed solution is used to calculate the excess pore water pressure induced by the PVD installation using a mandrel. The theoretical prediction of the excess pore water pressure is compared with the model tests by Indraratna. The results show that this solution is consistent with the conventional cylindrical cavity expansion method when this study is degenerated to the cylindrical cavity. The proposed solution can simulate the excess pore water pressure induced by the PVD installation very well.
    • FullText(HTML)
    • References (17)
  • [1]
    HILL R. The mathematical theory of plasticity[M]. London: Oxford, 1950.
    [2]
    GIBSON R E, ANDERSON W F. In-situ measurement of soil properties with the pressure meter[J]. Civil Engineering Public Works Reviews.1960, 56: 615-618.
    [3]
    BUTTERFIELD R, BANERJEE P K. Application of electro-osmosisto soils, part2[R]. Southampton: Department of Civil Engineering, 1968.
    [4]
    VESIC A S. Expansion of cavities in infinite soil mass[J]. Journal of the Soil Mechanics and Foundations Division, 1972, 98(3): 265-290.
    [5]
    YU H S, HOULSBY G T. Finite cavity expansion in dilation: Loading analysis[J]. Géotechnique, 1991, 41(2): 173-183.
    [6]
    CAO L F, TEH C I, CHANG M F. Undrained cavity expansion in modified Cam clay I: Theoretical analysis[J]. Géotechnique, 2001, 51(4): 323-334.
    [7]
    GHANDEHARIOON A, INDRARATNA B, RUJIKIATKAMJORN C. Analysis of soil disturbance associated with mandrel-driven prefabricated vertical drains using an elliptical cavity expansion theory[J]. International Journal of Geomechanics, 2010, 10(2): 53-64.
    [8]
    BALIGH M M. Strain path method[J]. Journal of geotechnical engineering. ASCE, 1985, 111(9): 1108-1136.
    [9]
    MUSKHELISHVILI N I. Some basic problems of the mathematical theory of elasticity[M]. Netherlands: Speringer, 1997.
    [10]
    拉夫连季耶夫.复变函数引论[M]. 高等教育出版社, 2005.(LAVRENTIEFF M A. Methods of functions of a complex variable[M]. Beijing: Higher Education Press, 2005. (in Chinese)).
    [11]
    徐芝纶. 弹性力学[M]. 高等教育出版社, 2006. (XU Zhi-lun. Elasticity[M]. Beijing: Higher Education Press, 2006. (in Chinese))
    [12]
    SAGASETA C A, WHITTLE A J, SANTAGATA M. Deformation analysis of shallow penetration in clay[J]. International Journal of Numerical and Analytical Method in Geomechanics, 1997, 21(10): 687-719.
    [13]
    郑俊杰, 鲁燕儿, 陈保国. 拉压模量不同的剪胀土体中的球孔扩张问题[J]. 岩土工程学报, 2009, 31(5): 675-680. (ZHENG Jun-jie, LU Yan-er, CHEN Bao-guo. Spherical cavity expansion in dilatant soils with different tension and compression moduli[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(5): 675-680. (in Chinese))
    [14]
    蒋明镜, 沈珠江. 考虑材料应变软化的柱形孔扩张问题[J]. 岩土工程学报, 1995, 17(4): 10-19. (JIANG Ming-jing, SHEN Zhu-jiang. Expansion of cylindrcial cavity of materials with strain-softening behaviour[J]. Chinese Journal of Geotechnical Engineering, 1995, 17(4): 10-19. (in Chinese))
    [15]
    刘维正, 石名磊, 徐林荣. 考虑软黏土结构性损伤的圆柱孔扩张弹塑性分析[J]. 岩土工程学报, 2013, 35(3): 487-494. (LIU Wei-zheng1, SHI Ming-lei2, XU Lin-rong1. Elastoplastic analysis of cylindrical cavity expansion in natural sedimentary soft clay with structure damage [J]. Chinese Journal of Geotechnical Engineering, 2013, 35(3): 487-494. (in Chinese))
    [16]
    SATHANANTHAN I, INDRARATNA B. Laboratory evaluation of smear zone and correlation between permeability and moisture content[J]. Geotechnical and Geoenvironment Engineering, 2006, 132(7): 942-945.
    [17]
    周 航, 孔纲强, 刘汉龙. 正方形孔扩张弹性分析[J]. 工程力学, 2013, 30(12): 183-188. (ZHOU Hang, KONG Gang-qiang, LIU Han-long. Elastic analysis of square cavity expansion[J]. Engineering Mechanics, 2013, 30(12): 183-188. (in Chinese))
    • Related Articles
  • Supplements (0)

  • Cited by

    Periodical cited type(8)

    1. 冯德銮，黎森宇，梁仕华. 水泥固化滨海软土动力特性研究进展与评述. 广东工业大学学报. 2024(02): 23-36 .
    2. 王喆恺，谭慧明，陶小三. 应力路径对盐城粉质黏土动剪切模量影响试验研究. 中国港湾建设. 2024(08): 44-49+73 .
    3. 苟乐宇，李飒，张先伟. 菌丝–砂复合轻质土的静力强度特性研究. 岩石力学与工程学报. 2024(10): 2590-2598 .
    4. 杨海华，刘亮，刘汉龙，高鹏展，陈育民. 高聚物胶凝戈壁土的动模量及阻尼比试验研究. 振动与冲击. 2023(03): 12-20 .
    5. 何俊，张驰，管家贤，吕晓龙. 碱渣固化疏浚淤泥的动变形特性研究. 岩石力学与工程学报. 2023(S1): 3712-3721 .
    6. 郭鹏斐，侯天顺，刘茜，骆亚生. 直剪试验方法对轻量土抗剪强度的影响规律研究. 水利水电技术(中英文). 2023(04): 161-170 .
    7. 杨凯旋，侯天顺，王琪，骆亚生. 剪切速率对EPS颗粒混合轻量土抗剪强度的影响规律研究. 水资源与水工程学报. 2022(05): 200-207 .
    8. 侯天顺，郭鹏斐，杨凯旋，王琪，骆亚生. 发泡颗粒混合轻量土静止土压力特性及计算方法研究. 岩土工程学报. 2022(12): 2234-2244 . 本站查看

    Other cited types(17)

Catalog

    Get Citation
    PDF
    XML
    Article views PDF downloads Cited by(25)
    Related
    Copyright © 2010 Editorial By Chinese Journal of Geotechnical Engineering 苏ICP备05007122号-11公安联网备案号：32010602011255
    Editorial Office address：34 Hujuguan,Nanjing 210024,ChinaPostal Code：210024Tel：025-85829534，85829556E-mail: ge@nhri.cn

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return