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Journal of Zhejiang University SCIENCE A

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Two-dimensional plane-strain consolidation for unsaturated soils under non-uniform trapezoidal loads

Author(s): Chengjia TANG, Lei WANG, Sidong SHEN, Minjie WEN, Annan ZHOU
Affiliation(s): School of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai 201620, China; more
Corresponding email(s): wangleiwangjiang@163.com
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Chengjia TANG, Lei WANG, Sidong SHEN, Minjie WEN, Annan ZHOU. Two-dimensional plane-strain consolidation for unsaturated soils under non-uniform trapezoidal loads[J]. Journal of Zhejiang University Science A,in press.Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/jzus.A2200525

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author="Chengjia TANG, Lei WANG, Sidong SHEN, Minjie WEN, Annan ZHOU",
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year="in press",
publisher="Zhejiang University Press & Springer",
doi="https://doi.org/10.1631/jzus.A2200525"
}

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%T Two-dimensional plane-strain consolidation for unsaturated soils under non-uniform trapezoidal loads
%A Chengjia TANG
%A Lei WANG
%A Sidong SHEN
%A Minjie WEN
%A Annan ZHOU
%J Journal of Zhejiang University SCIENCE A
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doi="https://doi.org/10.1631/jzus.A2200525"

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T1 - Two-dimensional plane-strain consolidation for unsaturated soils under non-uniform trapezoidal loads
A1 - Chengjia TANG
A1 - Lei WANG
A1 - Sidong SHEN
A1 - Minjie WEN
A1 - Annan ZHOU
J0 - Journal of Zhejiang University Science A
SP - 277
EP - 284
%@ 1673-565X
Y1 - in press
PB - Zhejiang University Press & Springer
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doi="https://doi.org/10.1631/jzus.A2200525"

Abstract
Chinese Summary
Academic Network
Reviewer Comment

Abstract: In highway construction, filled embankments are trapezoidal, and the ground is always improved by sand wells or columns. During embankment construction, because the width and height of the embankment are changing, a non-uniform load that varies with time and lateral location is applied to the underlying ground. The consolidation phenomenon under two-dimensional (2D) conditions will keep pace with the construction of the embankment. In addition, because of evaporation and rainfall, the soils are mostly unsaturated. Therefore, it is meaningful to research the consolidation properties of unsaturated ground under non-uniform loading.

非均匀梯形荷载下非饱和土二维平面应变固结特性研究

作者：唐程嘉¹，汪磊¹，沈思东¹，闻敏杰²，周安楠³
机构：¹上海工程技术大学，城市轨道交通学院，中国上海，201620；²浙江大学，软土与地质环境工程教育部重点实验室，中国杭州，310058；³墨尔本皇家理工学院，土木、环境和化学工程学院，澳大利亚墨尔本，VIC 3001
目的：在公路工程建设中，为使公路安全稳定，必须将原地面填筑成梯形路堤，而路堤的大小同时在宽度和高度上都有变化，这就造成了地面上的非均匀荷载。目前，关于固结特性的研究并没有考虑外部荷载沿水平方向的变化，且外部荷载被假定为随时间变化的、理想的均匀荷载。此外，由于气候条件的影响，实际工程中处理的通常是非饱和路基。基于此，本文旨在推导非均匀荷载下的非饱和土的二维平面应变固结的半解析解，并选择梯形荷载作为非均匀荷载的特例，研究非均匀梯形荷载下非饱和土的二维平面应变固结特性。
创新点：1.基于Dakshanamurthy和Fredlund二维平面应变固结理论，建立非均匀梯形荷载下非饱和土二维平面应变固结的参考模型；2.通过拉普拉斯变换与傅里叶展开推导非均匀荷载下非饱和土的二维平面应变固结的半解析解。
方法：1.建立非均匀梯形荷载下非饱和土二维平面应变固结的参考模型（图1）；2.推导非均匀荷载下非饱和土的二维平面应变固结的半解析解（公式(6),(7)和(9)）；3.绘制超孔隙压力与沉降在非均匀荷载下的变化图像，分析不同计算点、路肩宽度与路堤高度对固结特性的影响。
结论：1.不同计算点的超孔隙压力消散速度不同；路面下的超孔隙压力比路肩处的大很多，消散开始得晚，但消散速率快。2.路堤高度的增加会增加路面的最终沉降，但对路肩的影响较小。3.路肩的宽度和坡度都会影响路面和路肩的沉降；路基荷载越接近于均匀荷载，二维平面上的沉降就越均匀。

关键词组：非饱和土；非均匀荷载；二维平面应变固结；半解析解；拉普拉斯变换；傅里叶级数展开

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Reference

[1]AusilioE, ConteE, 1999. Settlement rate of foundations on unsaturated soils. Canadian Geotechnical Journal, 36(5):940-946.

[2]BardenL, 1965. Consolidation of compacted and unsaturated clays. Géotechnique, 15(3):267-286.

[3]BiotMA, 1941. General theory of three-dimensional consolidation. Journal of Applied Physics, 12(2):155-164.

[4]ChangCS, DuncanJM, 1983. Consolidation analysis for partly saturated clay by using an elastic-plastic effective stress-strain model. International Journal for Numerical and Analytical Methods in Geomechanics, 7(1):39-55.

[5]ConteE, 2004. Consolidation analysis for unsaturated soils. Canadian Geotechnical Journal, 41(4):599-612.

[6]DakshanamurthyV, FredlundDD, 1980. Moisture and air flow in an unsaturated soil. Proceedings of the 4th International Conference on Expansive Soils, p.514-532.

[7]FredlundDG, MorgensternNR, 1977. Stress state variables for unsaturated soils. Journal of the Geotechnical Engineering Division, 103(5):447-466.

[8]FredlundDG, HasanJU, 1979. One-dimensional consolidation theory: unsaturated soils. Canadian Geotechnical Journal, 16(3):521-531.

[9]HoL, FatahiB, 2015. Analytical solution for the two-dimensional plane strain consolidation of an unsaturated soil stratum subjected to time-dependent loading. Computers and Geotechnics, 67:1-16.

[10]HoL, FatahiB, 2016. One-dimensional consolidation analysis of unsaturated soils subjected to time-dependent loading. International Journal of Geomechanics, 16(2):04015052.

[11]HoL, FatahiB, KhabbazH, 2015. A closed form analytical solution for two-dimensional plane strain consolidation of unsaturated soil stratum. International Journal for Numerical and Analytical Methods in Geomechanics, 39(15):1665-1692.

[12]HoL, FatahiB, KhabbazH, 2020. Analytical solution for one-dimensional consolidation of unsaturated soil deposit subjected to step loading. In: Russell AR (Ed.), Unsaturated Soils: Research & Applications. CRC Press, London, UK, p.1763-1769.

[13]LloretA, AlonsoEE, 1980. Consolidation of unsaturated soils including swelling and collapse behaviour. Géotechnique, 30(4):449-477.

[14]NgCWW, ZhanLT, CuiYJ, 2002. A new simple system for measuring volume changes in unsaturated soils. Canadian Geotechnical Journal, 39(3):757-764.

[15]QinAF, ChenGJ, TanYW, et al., 2008. Analytical solution to one-dimensional consolidation in unsaturated soils. Applied Mathematics and Mechanics, 29(10):1329-1340.

[16]QinAF, SunDA, TanYW, 2010a. Analytical solution to one-dimensional consolidation in unsaturated soils under loading varying exponentially with time. Computers and Geotechnics, 37(1-2):233-238.

[17]QinAF, SunDA, YangLP, et al., 2010b. A semi-analytical solution to consolidation of unsaturated soils with the free drainage well. Computers and Geotechnics, 37(7-8):867-875.

[18]QinAF, SunDA, ZhangJL, 2014. Semi-analytical solution to one-dimensional consolidation for viscoelastic unsaturated soils. Computers and Geotechnics, 62:110-117.

[19]ScottRF, 1963. Principles of Soil Mechanics. Addison-Wesley, Reading, USA.

[20]ShanZD, LingDS, DingHJ, 2013. Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 14(1):61-70.

[21]ŠimůnekJ, van GenuchtenMT, GribbMM, et al., 1998. Parameter estimation of unsaturated soil hydraulic properties from transient flow processes. Soil and Tillage Research, 47(1-2):27-36.

[22]TerzaghiK, 1943. Theoretical Soil Mechanics. John Wiley & Sons, Inc., New York, USA.

[23]WangL, SunDA, QinAF, et al., 2017a. Semi-analytical solution to one-dimensional consolidation for unsaturated soils with semi-permeable drainage boundary under time-dependent loading. International Journal for Numerical and Analytical Methods in Geomechanics, 41(16):1636-1655.

[24]WangL, SunDA, LiLZ, et al., 2017b. Semi-analytical solutions to one-dimensional consolidation for unsaturated soils with symmetric semi-permeable drainage boundary. Computers and Geotechnics, 89:71-80.

[25]WangL, XuYF, XiaXH, et al., 2018. Semi-analytical solutions to two-dimensional plane strain consolidation for unsaturated soil. Computers and Geotechnics, 101:100-113.

[26]WangL, XuYF, XiaXH, et al., 2019. Semi-analytical solutions of two-dimensional plane strain consolidation in unsaturated soils subjected to the lateral semipermeable drainage boundary. International Journal for Numerical and Analytical Methods in Geomechanics, 43(17):2628-2651.

[27]WongT, FredlundDG, KrahnJ, 1998. A numerical study of coupled consolidation in unsaturated soils. Canadian Geotechnical Journal, 35(6):926-937.

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非均匀梯形荷载下非饱和土二维平面应变固结特性研究

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