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 34 Issue 10
Turn off MathJax
Article Contents
Abstract
References
Related Articles
AI Zhi-yong, LI Bo. Analytical layer element solutions to plane strain problem of transversely isotropic multilayered soils[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(10): 1787-1791.
Citation: AI Zhi-yong, LI Bo. Analytical layer element solutions to plane strain problem of transversely isotropic multilayered soils[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(10): 1787-1791.
shu

Analytical layer element solutions to plane strain problem of transversely isotropic multilayered soils

  • (1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China)

More Information
  • Received Date: September 13, 2011
  • Published Date: November 13, 2012
    Graphical Abstract
    • Abstract
  • Based on the governing equations of plane strain problem, the transfer matrix of a single soil layer of transversely isotropic multilayered soils is obtained by using the Fourier transform and Cayley-Hamilton theorem. Then its exact stiffness matrix is deduced by means of the matrix transformation, which is called analytical layer element. The total stiffness matrix is established on the basis of the principle of finite layer method, and the solutions to the plane strain problem of transversely isotropic multilayered soils in the integral transform domain are obtained by solving it. The actual solutions in the physical domain are acquired by inverting the Fourier transform. The calculated results acquired by corresponding computer program agree fairly well with those by finite element analysis software. Numerical analysis shows that the influence of the stratification and transverse isotropy on the deformation of soils is significant.
    • FullText(HTML)
    • References (8)
  • [1]
    王林生. 用柔度矩阵递推法计算横观各向同性成层地基[J]. 河海大学学报, 1989, 17(2): 104–110. (WANG lin-sheng. Flexibility matrix recursion method to solve transversely isotropic multilayered soil[J]. Journal of Hohai University, 1989, 17(2): 104–110. (in Chinese))
    [2]
    钟 阳, 耿立涛. 多层弹性平面问题解的精确刚度矩阵法[J]. 岩土力学, 2008, 29(10): 2829–2832. (ZHONG Yang, GENG Li-tao. Explicit solution of multiplayer elastic plane by exact stiffness matrix method[J]. Rock and Soil Mechanics, 2008, 29(10): 2829–2832. (in Chinese))
    [3]
    艾智勇, 曾文泽. 解析层元法求解层状地基非轴对称荷载问题[J]. 岩土工程学报, 2011, 33(7): 1078–1081. (AI Zhi-yong, ZENG Wen-ze. Analytical layer-element method for non-axisymmetric loading problem for multi-layered soils[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(7): 1078–1081. (in Chinese))
    [4]
    艾智勇, 吴 超. 三维直角坐标系下分层地基的传递矩阵解[J]. 重庆建筑大学学报, 2008, 30(2): 43–46. (AI Zhi-yong, WU Chao. Transfer matrix solutions of multi-layered soils in rectangular coordinate system[J]. Journal of Chongqing Jianzhu University, 2008, 30(2): 43–46. (in Chinese))
    [5]
    AI Z Y, YUE Z Q, THAM L G, YANG M. Extended Sneddon and Muki solutions for multilayered elastic materials[J]. International Journal of Engineering Science, 2002, 40(13): 1453–1483.
    [6]
    栗振锋, 胡长顺. 横观各向同性轴对称层状弹性体系半空间问题的求解[J]. 西安公路交通大学学报, 2000, 20(4): 8–10. (LI Zhen-feng, HU Chang-shun. The solution of axisymmetrical problems in transversely isotropic multilayered elastic half space[J]. Journal of Xi'an Highway University, 2000, 20(4): 8–10. (in Chinese))
    [7]
    陈光敬, 赵锡宏, 于 立. 传递矩阵法求解成层横观各向同性弹性体轴对称问题[J]. 岩土工程学报, 1998, 20(5): 105–108. (CHEN Guang-jing, ZHAO Xi-hong, YU Li. Transferring matrix method to solve axisymmetric problem of layered cross-anisotropic elastic body[J]. Chinese Journal of Geotechnical Engineering, 1998, 20(5): 105–108. (in Chinese))
    [8]
    李沛豪, 朱向荣. 横观各向同性弹性半空间非轴对称问题解析解[J]. 岩土工程学报, 2004, 26(3): 331–334. (LI Pei-hao, ZHU Xiang-rong. Analytic solution of non- axisymmetric problems in transversely isotropic elastic half space[J]. Chinese Journal of Geotechnical Engineering, 2004, 26(3): 331–334. (in Chinese))
    • Related Articles

  • Related Articles

    [1]SUN Rui, ZHANG Jian, YANG Junsheng, YANG Feng. Axisymmetric adaptive lower bound finite element method based on Mohr-Coulomb yield criterion and second-order cone programming[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(11): 2387-2395. DOI: 10.11779/CJGE20220781
    [2]LIU Jin, ZHANG Yu, SHAO Sheng-jun, ZHAO Yang, MENG Tian-yi, SHE Fang-tao. Earth pressure problems under different plane strain strength theories and their application[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(S1): 30-35. DOI: 10.11779/CJGE2021S1006
    [3]SUN Rui, YANG Jun-sheng, ZHAO Yi-ding, YANG Feng. Upper bound adaptive finite element method with higher-order element based on Drucker-Prager yield criterion[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(2): 398-404. DOI: 10.11779/CJGE202002022
    [4]XU Ping. Elastoplastic analysis of gas drainage hole based on Tresca yield criterion[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(zk2): 16-20.
    [5]DAI Zihang, ZHOU Ruizhong, LU Caijin. Discussions on yield criterions and stress paths of soils in tests and numerical analyses[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(7): 968-976.
    [6]DENG Chujian, HE Guojie, ZHENG Yingren. Studies on Drucker-Prager yield criterions based on M-C yield criterion and application in geotechnical engineering[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(6): 735-739.
    [7]YUAN Jing, GONG Xiaonan, LIU Xingwang, YI Deqing. An anisotropic time-dependent trinal-yield-surface model for the stress-strain-time behavior of soft clay[J]. Chinese Journal of Geotechnical Engineering, 2004, 26(1): 88-94.
    [8]ZHANG Luyu, LIU Dongsheng, SHI Weimin. Application of the extended general Drucker-Prager yield criterion to slope stability analysis[J]. Chinese Journal of Geotechnical Engineering, 2003, 25(2): 216-219.
    [9]XU Jun, LIU Dongsheng, ZHENG Yingren. Analysis of elastic-plastic stochastic finite element method based on probabilistic yield criterion[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(2): 225-228.
    [10]LI Guangxin, HUANG Yongnan, ZHANG Qiguang. The principal stress of soil in the direction of plane strain[J]. Chinese Journal of Geotechnical Engineering, 2001, 23(3): 358-361.
    • Supplements (0)

Catalog

    Get Citation
    PDF
    XML
    Article views PDF downloads Cited by()
    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