Semi-analytical solutions to two-dimensional plane strain consolidation for unsaturated soil

被引：20
|
作者：
Wang, Lei [1 ,2 ]
Xu, Yongfu [1 ]
Xia, Xiaohe [1 ]
Sun, De'an [3 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Civil Engn, Shanghai 200240, Peoples R China
[2] Shanghai Univ Engn Sci, Coll Urban Railway Transportat, Shanghai 201620, Peoples R China
[3] Shanghai Univ, Dept Civil Engn, Shanghai 200444, Peoples R China
来源：
COMPUTERS AND GEOTECHNICS | 2018年 / 101卷
基金：
中国国家自然科学基金;
关键词：
Semi-analytical solution; Unsaturated soil; Two-dimensional plane strain consolidation; Homogeneous and mixed boundaries; Finite sine transform; Laplace transform; ONE-DIMENSIONAL CONSOLIDATION;
D O I：
10.1016/j.compgeo.2018.04.015
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper presents semi-analytical solutions to two-dimensional plane strain consolidation of unsaturated soils under different initial and boundary conditions. By applying the finite sine and Laplace transforms, the partial differential equations are converted to the ordinary differential equations. The semi-analytical solutions are obtained by using the finite sine inversion transform. Crump's method is adopted to perform the inverse Laplace transform to obtain analytical solutions in time domain. The present solutions are more general and can be degenerated into conventional solutions to one-dimensional consolidation of unsaturated soils. Several examples are provided to investigate two-dimensional plane strain consolidation behavior of unsaturated soils.
引用
收藏
页码：100 / 113
页数：14
相关论文
共 50 条
  • [21] Semi-analytical solutions to one-dimensional consolidation for unsaturated soils with semi-permeable drainage boundary
    Wang, Lei
    Sun, De'an
    Xu, Yongfu
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2017, 38 (10) : 1439 - 1458
  • [22] Semi-analytical solutions to one-dimensional consolidation for unsaturated soils with semi-permeable drainage boundary
    Lei WANG
    De'an SUN
    Yongfu XU
    AppliedMathematicsandMechanics(EnglishEdition), 2017, 38 (10) : 1439 - 1458
  • [23] Semi-analytical solutions to one-dimensional consolidation for unsaturated soils with semi-permeable drainage boundary
    Lei Wang
    De’an Sun
    Yongfu Xu
    Applied Mathematics and Mechanics, 2017, 38 : 1439 - 1458
  • [24] Semi-analytical solution to one-dimensional consolidation in unsaturated soils
    Ai-fang Qin
    De-an Sun
    Yong-wei Tan
    Applied Mathematics and Mechanics, 2010, 31 : 215 - 226
  • [25] Semi-analytical solutions for one- and two-dimensional pellet problems
    Marchant, TR
    Nelson, MI
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2004, 460 (2048): : 2381 - 2394
  • [26] Semi-analytical solutions for two-dimensional elastic capsules in Stokes flow
    Higley, Michael
    Siegel, Michael
    Booty, Michael R.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2012, 468 (2146): : 2915 - 2938
  • [27] One-dimensional consolidation of unsaturated soils considering self-weight: Semi-analytical solutions
    Wang, Lei
    Zhou, Annan
    Xu, Yongfu
    Xia, Xiaohe
    SOILS AND FOUNDATIONS, 2021, 61 (06) : 1543 - 1554
  • [28] Semi-analytical solutions to one-dimensional consolidation for unsaturated soils with symmetric semi-permeable drainage boundary
    Wang, Lei
    Sun, De'an
    Li, Linzhong
    Li, Peichao
    Xu, Yongfu
    COMPUTERS AND GEOTECHNICS, 2017, 89 : 71 - 80
  • [29] Semi-analytical solution to one-dimensional consolidation for viscoelastic unsaturated soils
    Qin, Aifang
    Sun, De'an
    Zhang, Jiulong
    COMPUTERS AND GEOTECHNICS, 2014, 62 : 110 - 117
  • [30] Semi-analytical solutions for the consolidation of unsaturated composite ground with floating permeable columns under equal strain condition
    Tang, Zhijun
    Wang, Lei
    Zhou, Annan
    Sun, De'an
    Li, Jie
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2024, 48 (01) : 154 - 183
12345