Excess pore pressure in unsaturated soil foundations considering elastoplastic deformation

XIA Qiong; XIN Jialu; MAN Benxuan; LIU Deren

doi:10.11835/j.issn.2096-6717.2025.120

您当前的位置：

首页 >

文章列表页 >

Excess pore pressure in unsaturated soil foundations considering elastoplastic deformation

更新时间：2025-12-25

- Excess pore pressure in unsaturated soil foundations considering elastoplastic deformation
- Journal of Civil and Environmental Engineering Pages: 1-11(2025)
- 作者机构：
  
  1.兰州交通大学，土木工程国家级实验教学示范中心，兰州 730070
  2.兰州交通大学，土木工程学院，兰州 730070
- 作者简介：
  
  XIA Qiong (1977-), PhD, associate professor, main research interest: soil mechanics and foundation engineering, E-mail: xemily@163.com.
- 基金信息：
  
  National Natural Science Foundation of China(42362033)
- DOI：10.11835/j.issn.2096-6717.2025.120
  CLC： TU431
- Received：09 August 2025，
  
  Online First：24 December 2025，
- 稿件说明：
移动端阅览
夏琼,辛佳璐,满本轩等.考虑弹塑性变形的非饱和土地基超静孔隙压力[J].土木与环境工程学报,

XIA Qiong,XIN Jialu,MAN Benxuan,et al.Excess pore pressure in unsaturated soil foundations considering elastoplastic deformation[J].Journal of Civil and Environmental Engineering,
夏琼,辛佳璐,满本轩等.考虑弹塑性变形的非饱和土地基超静孔隙压力[J].土木与环境工程学报, DOI：10.11835/j.issn.2096-6717.2025.120.

XIA Qiong,XIN Jialu,MAN Benxuan,et al.Excess pore pressure in unsaturated soil foundations considering elastoplastic deformation[J].Journal of Civil and Environmental Engineering, DOI：10.11835/j.issn.2096-6717.2025.120.

摘要

非饱和地基在瞬时局部加载作用下的力学响应特性是岩土工程领域的研究热点。基于Fredlund双应力变量理论与非饱和土弹塑性本构模型，建立考虑弹塑性应变的非饱和土全耦合固结理论，采用COMSOL多物理场耦合软件进行数值模拟，分析瞬时局部加载下非饱和地基初始超静孔隙压力分布、消散规律及塑性区发展规律，研究弹塑性应变与超静孔隙压力分布及消散的全耦合机制。结果表明：初始超静孔隙水压力空间分布与地基土体积应变类型相关，弹性应变状态下，荷载作用范围内超静孔隙水压力随深度递减，范围外浅层出现负值；塑性区超静孔隙水压力显著高于弹性区，且与塑性压缩体积应变呈正相关；荷载大小与加载宽度影响塑性区发展，局部荷载下塑性区可能自地表向下或自基底向上发展，两者贯通后超静孔隙压力沿深度分布规律与基底向上发展的塑性应变一致；弹塑性交界区超静孔隙压力消散过程中出现两次曼代尔-克雷尔效应。

Abstract

The mechanical response characteristics of unsaturated foundations under instantaneous local loading are a research focus in the field of geotechnical engineering. By employing Fredlund's dual stress variable theory and an elastoplastic constitutive model for unsaturated soils

a fully coupled consolidation theory for unsaturated soils considering elastoplastic strain was established. Numerical simulations were conducted using COMSOL Multiphysics software

analyzing the initial excess pore pressure distribution

dissipation patterns

and development rules of plastic zones in unsaturated foundations under instantaneous local loads

and investigating the fully coupled mechanism between elastoplastic strain and excess pore pressure distribution and dissipation. The results indicate that the spatial distribution of initial excess pore water pressure is related to the volumetric strain type of the foundation soil. Under elastic strain conditions

excess pore water pressure within the loading area decreases with depth

while negative values appear in the shallow layers outside the loading region. The excess pore water pressure in plastic zones is significantly higher than in elastic zones and positively correlated with plastic volumetric compression strain. The magnitude and width of the load affect the development of plastic zones. Under local loading

plastic zones may develop downward from the surface or upward from the base; once they connect

the depth distribution of excess pore water pressure aligns with the development of plastic strain from the base upward. During dissipation in the elastoplastic interface zone

two instances of the Mandel-Cryer effect were observed.

关键词

Keywords

references

李盾 . 半渗透边界条件下非饱和土二维固结特性分析 [D ] . 长沙 : 湖南大学 , 2019 .

LI D . Analysis on two-dimensional consolidation process of unsaturated soil under semi-permeable boundary conditions [D ] . Changsha : Hunan University , 2019 . (in Chinese)

陈仲颐 , 周景星 , 王洪瑾 . 土力学 [M ] . 北京 : 清华大学出版社 , 1994 .

CHEN Z Y , ZHOU J X , WANG H J . Soil mechanics [M ] . Beijing : Tsinghua University Press , 1994 . (in Chinese)

FREDLUND D G , MORGENSTERN N R . Constitutive relations for volume change in unsaturated soils [J ] . Canadian Geotechnical Journal , 1976 , 13 ( 3 ): 261 - 276 .

FREDLUND D G , RAHARDJO H . Soil Mechanics for Unsaturated Soils [M ] . New York : Wiley , 1993 .

FREDLUND D G , HASAN J U . One-dimensional consolidation theory: Unsaturated soils [J ] . Canadian Geotechnical Journal , 1979 , 16 ( 3 ): 521 - 531 .

沈珠江 . 非饱和土简化固结理论及其应用 [J ] . 水利水运工程学报 , 2003 ( 4 ): 1 - 6 .

SHEN Z J . Simplified consolidation theory for unsaturated soils and its application [J ] . Hydro-Science and Engineering , 2003 ( 4 ): 1 - 6 . (in Chinese)

秦爱芳 , 陈光敬 , 谈永卫 , 等 . 非饱和土层一维固结问题的解析解 [J ] . 应用数学和力学 , 2008 , 29 ( 10 ): 1208 - 1218 .

QIN A F , CHEN G J , TAN Y W , et al . Analytical solution to one-dimensional consolidation in unsaturated soils [J ] . Applied Mathematics and Mechanics , 2008 , 29 ( 10 ): 1208 - 1218 . (in Chinese)

秦爱芳 , 郑青青 , 江良华 . 统一边界条件下非饱和土一维固结理论研究 [J ] . 工程力学 , 2024 , 41 ( 3 ): 63 - 72 .

QIN A F , ZHENG Q Q , JIANG L H . Study on one-dimensional consolidation theory of unsaturated soil with general boundary conditions [J ] . Engineering Mechanics , 2024 , 41 ( 3 ): 63 - 72 . (in Chinese)

周万欢 , 赵林爽 . 复杂初始和边界条件对一维非饱和土固结的影响 [J ] . 岩土工程学报 , 2013 , 35 ( 增刊1 ): 305 - 311 .

ZHOU W H , ZHAO L S . Influence of initial and boundary conditions on one-dimensional consolidation of unsaturated soil [J ] . Chinese Journal of Geotechnical Engineering , 2013 , 35 ( Sup 1 ): 305 - 311 . (in Chinese)

ZHOU W H , ZHAO L S . One-dimensional consolidation of unsaturated soil subjected to time-dependent loading with various initial and boundary conditions [J ] . International Journal of Geomechanics , 2014 , 14 ( 2 ): 291 - 301 .

HO L , FATAHI B . Analytical solution to axisymmetric consolidation of unsaturated soil stratum under equal strain condition incorporating smear effects [J ] . International Journal for Numerical and Analytical Methods in Geomechanics , 2018 , 42 ( 15 ): 1890 - 1913 .

朱合华，刘国彬，梁发云 . 岩土力学的数值分析方法和理论 [M ] . 北京：人民交通出版社， 2007 .

ZHU H H , LIU G B , LIANG F Y . Numerical analysis methods and theories of geomechanics [M ] . Beijing : China Communications Press , 2007 . (in Chinese)

吴意谦 , 朱彦鹏 . 考虑疏干带非饱和土影响下基坑降水引起地面沉降的计算 [J ] . 工程力学 , 2016 , 33 ( 3 ): 179 - 187 .

WU Y Q , ZHU Y P . Calculation of settlement considering unsaturated soil influence on the dewatering of foundation pits [J ] . Engineering Mechanics , 2016 , 33 ( 3 ): 179 - 187 . (in Chinese)

叶梓 , 艾智勇 . 变荷载下层状非饱和土地基全耦合固结特性研究 [J ] . 岩土力学 , 2021 , 42 ( 1 ): 135 - 142 .

YE Z , AI Z Y . Fully-coupled consolidation characteristics of layered unsaturated soils subjected to varying loadings [J ] . Rock and Soil Mechanics , 2021 , 42 ( 1 ): 135 - 142 . (in Chinese)

LO W , BORJA R I , DENG J H , et al . Poroelastic theory of consolidation for a two-layer system with an upper unsaturated soil and a lower saturated soil under fully permeable boundary conditions [J ] . Journal of Hydrology , 2021 , 596 : 125700 .

刘松玉 . 特殊土与地区性地基 [M ] . 北京：科学出版社， 2017 .

LIU S Y . Special soils and regional foundations [M ] . Beijing : Science Press , 2017 . (in Chinese)

胡小荣 , 蔡晓锋 , 李春博 , 等 . 正常固结非饱和黏性土的三剪弹塑性本构模型 [J ] . 工程力学 , 2022 , 39 ( 1 ): 164 - 174 .

HU X R , CAI X F , LI C B , et al . Triple-shear elasto-plastic constitutive models of unsaturated clays in normal consolidation [J ] . Engineering Mechanics , 2022 , 39 ( 1 ): 164 - 174 . (in Chinese)

SHWAN B J . Microstructural interpretation of effective stress equations for unsaturated sands [J ] . International Journal of Geo-Engineering , 2023 , 14 ( 1 ): 4 .

NIU J J , LING D S , ZHU S , et al . Solutions for one-dimensional consolidation of unsaturated soil with general boundary conditions subjected to time-dependent load [J ] . International Journal for Numerical and Analytical Methods in Geomechanics , 2021 , 45 ( 11 ): 1664 - 1680 .

HUANG M H , ZHAO M H . A general analytical solution for one dimensional consolidation of unsaturated soil incorporating impeded drainage boundaries [J ] . Computers and Geotechnics , 2020 , 128 : 103801 .

凌道盛 , 赵天浩 , 钮家军 , 等 . 混合非齐次边界下非饱和土一维固结解析解 [J ] . 岩土力学 , 2021 , 42 ( 4 ): 883 - 891, 920 .

LING D S , ZHAO T H , NIU J J , et al . Analytical solutions for 1D consolidation of unsaturated soils with mixed nonhomogeneous boundary conditions [J ] . Rock and Soil Mechanics , 2021 , 42 ( 4 ): 883 - 891, 920 . (in Chinese)

ALONSO E E , GENS A , JOSA A . A constitutive model for partially saturated soils [J ] . Géotechnique , 1990 , 40 ( 3 ): 405 - 430 .

陈正汉 , 黄海 , 卢再华 . 非饱和土的非线性固结模型和弹塑性固结模型及其应用 [J ] . 应用数学和力学 , 2001 , 22 ( 1 ): 93 - 103 .

CHEN Z H , HUANG H , LU Z H . Non-linear and elasto-plasticity consolidation models of unsaturated soil and applications [J ] . Applied Mathematics and Mechanics , 2001 , 22 ( 1 ): 93 - 103 . (in Chinese)

刘洋 . 非饱和土二维平面应变固结特性的解析研究 [D ] . 武汉 : 华中科技大学 , 2022 .

LIU Y . Analytical analysis of two-dimensional plane strain consolidation characteristics for unsaturated soil [D ] . Wuhan : Huazhong University of Science and Technology , 2022 . (in Chinese)

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

AI问答

Address：Journals Department, Chongqing University, 174 Shazhengjie, Chongqing 400044, P.R.China Postal code：400044
Tel：+86-23-65111322 Email：xuebao@cqu.edu.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09064830号-19 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰