考虑颗粒黏结效应的非饱和土水-力耦合边界面模型

韩博文; 蔡国庆; 李舰; 赵成刚

doi:10.11779/CJGE202011011

考虑颗粒黏结效应的非饱和土水-力耦合边界面模型 English Version

韩博文^{1, 2,},
蔡国庆^{1, 2, ,},
李舰²,
赵成刚²

1.
北京交通大学城市地下工程教育部重点实验室,北京　100044
2.
北京交通大学土木建筑工程学院,北京　100044

基金项目:

国家自然科学基金项目 52078031

国家自然科学基金项目 51722802

国家自然科学基金项目 U1834206

北京市自然科学基金面上项目 8202038

详细信息

作者简介:
韩博文(1992—),男,博士研究生,主要从事非饱和土力学相关研究。E-mail：18115022@bjtu.edu.cn

通讯作者:
蔡国庆, E-mail：guoqing.cai@bjtu.edu.cn

中图分类号: TU43
计量
- 文章访问数: 277
- HTML全文浏览量: 26
- PDF下载量: 150
出版历程
- 收稿日期: 2020-02-08
- 网络出版日期: 2022-12-05
- 刊出日期: 2020-10-31

Hydro-mechanical coupling bounding surface model for unsaturated soils considering bonding effect of particles

HAN Bo-wen^{1, 2,},
CAI Guo-qing^{1, 2, ,},
LI Jian²,
ZHAO Cheng-gang²

1.
Key Laboratory of Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing 100044, China
2.
School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

摘要

摘要: 颗粒间黏结效应对非饱和土水-力耦合特性影响显著,建立考虑黏结效应的非饱和土本构模型,对于准确分析非饱和土的水-力耦合特性具有重要意义。在边界面塑性理论框架下,建立了一个同时考虑基质吸力、饱和度和孔隙结构对黏结效应影响的非饱和土水-力耦合模型。对于力学部分,选取有效应力与黏结变量作为本构变量,建立了黏结变量与 $e / e_{s}$ 之间的关系,并基于边界面塑性理论对非饱和土变形特性进行描述；对于水力部分,建立了考虑变形影响的水力滞后土-水特征曲线方程。利用膨润土-高岭土混合土、重塑高岭土的试验结果对所建立的模型进行了参数标定和模型验证,结果表明,所建立模型能够合理预测非饱和土的水-力耦合特性。
- 非饱和土 /
- 边界面模型 /
- 黏结效应 /
- 微观孔隙结构 /
- 水-力耦合
Abstract: The interparticle bonding effect has a significant influence on the hydro-mechanical coupling characteristics of unsaturated soils. Establishing a constitutive model for unsaturated soils considering the bonding effect is of great significance for accurately analyzing their hydro-mechanical coupling characteristics. Based on the theory of bounding surface plasticity, a hydro-mechanical coupling model for unsaturated soils considering the influences of matric suction, degree of saturation and pore structure on the bonding effect is established. For the mechanics part, the effective stress and bonding variable are selected as the constitutive variables, the relationship between the bonding variable and $e / e_{s}$ is established, and the deformation characteristics of unsaturated soils are described based on the theory of bounding surface plasticity. For the hydraulic part, a hydraulic hysteresis soil-water characteristic curve equation considering the effect of deformation is established. The experimental results of bentonite-kaolin mixture and reconstituted kaolin are used for parameter calibration and model verification of the proposed model. The results show that the proposed model can reasonably predict the hydro-mechanical coupling characteristics of unsaturated soils.
- unsaturated soil /
- bounding surface model /
- bonding effect /
- microcosmic pore structure /
- hydro-mechanical coupling

HTML全文

图 1 $f (s)$ 与s关系曲线

Figure 1. Curve of relation between $f (s)$ ands

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图 2 压缩状态面及压缩曲线示意图

Figure 2. Diagrams of compression state surface and compression curve

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图 3 $p^{″}$ -q- $ζ$ 空间内的边界面

Figure 3. Bounding surfaces in $p^{″}$ -q- $ζ$ space

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图 4 边界面映射法则

Figure 4. Mapping rules of bounding surface

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图 5 扫描曲线示意图

Figure 5. Diagram of scanning curve

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图 6 参数a,b标定

Figure 6. Calibration of parametersa,b

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图 7 土水特征曲线参数标定

Figure 7. Calibration of soil-water characteristic curve parameters

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图 8 模型预测与试验数据对比

Figure 8. Comparison between model predictions and experimental data

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图 9 模型预测与试验数据对比

Figure 9. Comparison between model predictions and experimental data

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图 10 参数a,b标定

Figure 10. Calibration of parametersa,b

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图 11 模型预测与试验数据对比

Figure 11. Comparison between model predictions and experimental data

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表 1 膨润土-高岭土混合土模型参数

Table 1 Model parameters of bentonite-kaolin mixture

$a$	$b$	$λ$	$κ$	$N$	${p^{″}}_{0} /kPa$	$m_{1 d}$	$m_{1 w}$
0.349	1.366	0.144	0.04	1.759	17	0.0047	0.0195
$m_{1}$	$m_{2}$	$m_{3}$	$m_{4}$	$η$	$γ_{0}$	$D$	$S_{res}$
0.0195	6.911	3.929	0.03636	0.45	5	10	0.05

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表 2 重塑高岭土模型参数

Table 2 Model parameters of reconstituted kaolin

$a$	$b$	$λ$	$κ$	$N$	${p^{″}}_{0} /kPa$	$M$	$G /kPa$
0.359	1.286	0.128	0.02	1.64	18	0.73	10000
$m_{1}$	$m_{2}$	$m_{3}$	$m_{4}$	$γ_{0}$	$D$	$S_{res}$
0.0378	8.033	3.747	0.03635	5	1	0.05

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参考文献(35)

[1]	GALLIPOLI D, GENS A, SHARMA R, et al. An elasto-plastic model for unsaturated soil incorporating the effects of suction and degree of saturation on mechanical behaviour[J]. Géotechnique, 2003, 53(1): 123-135. doi: 10.1680/geot.2003.53.1.123
[2]	邵龙潭, 郭晓霞, 郑国锋. 粒间应力、土骨架应力和有效应力[J]. 岩土工程学报, 2015, 37(8): 1478-1483. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201508022.htm SHAO Long-tan, GUO Xiao-xia, ZHENG Guo-feng. Intergranular stress, soil skeleton stress and effective stress[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(8): 1478-1483. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201508022.htm
[3]	BISHOP A W. The principle of effective stress[J]. Teknisk Ukeblad, 1959, 106(39): 859-863.
[4]	ALONSO E E, GENS A, JOSA A. Constitutive model for partially saturated soils[J]. Géotechnique, 1990, 40(3): 405-430. doi: 10.1680/geot.1990.40.3.405
[5]	FREDLUND D G, MORGENSTERN N R. Stress state variables for unsaturated soils[J]. Journal of Geotechnical and Geoenviromnental Engineering, 1977, 103(5): 447-466.
[6]	沈珠江. 广义吸力和非饱和土的统一变形理论[J]. 岩土工程学报, 1996, 18(2): 1-9. doi: 10.3321/j.issn:1000-4548.1996.02.001 SHEN Zhu-jiang. Generalized suctions and unified deformation theory for unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 1996, 18(2): 1-9. (in Chinese) doi: 10.3321/j.issn:1000-4548.1996.02.001
[7]	汤连生, 王思敬. 湿吸力及非饱和土的有效应力原理探讨[J]. 岩土工程学报, 2000, 22(1): 83-88. doi: 10.3321/j.issn:1000-4548.2000.01.015 TANG Lian-sheng, WANG Si-jing. Absorbed suction and principle of effective stress in unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 2000, 22(1): 83-88. (in Chinese) doi: 10.3321/j.issn:1000-4548.2000.01.015
[8]	WHEELER S J, SHARMA R J, BUISSON M S R. Coupling of hydraulic hysteresis and stress-strain behaviour in unsaturated soils[J]. Géotechnique, 2003, 53(1): 41-54. doi: 10.1680/geot.2003.53.1.41
[9]	孙德安. 非饱和土的水力和力学特性及其弹塑性描述[J]. 岩土力学, 2009, 30(11): 3217-3231. doi: 10.3969/j.issn.1000-7598.2009.11.001 SUN De-an. Hydro-mechanical behaviours of unsaturated soils and their elastoplastic modelling[J]. Rock and Soil Mechanics, 2009, 30(11): 3217-3231. (in Chinese) doi: 10.3969/j.issn.1000-7598.2009.11.001
[10]	ZHOU A N, SHENG D, SLOAN S W, et al. Interpretation of unsaturated soil behaviour in the stress-Saturation space, I: volume change and water retention behaviour[J]. Computers and Geotechnics, 2012, 43: 178-187. doi: 10.1016/j.compgeo.2012.04.010
[11]	HU R, LIU H H, CHEN Y, et al. A constitutive model for unsaturated soils with consideration of inter-particle bonding[J]. Computers and Geotechnics, 2014, 59: 127-144. doi: 10.1016/j.compgeo.2014.03.007
[12]	MA T T, WEI C F, XIA X L, et al. Constitutive model of unsaturated soils considering the effect of intergranular physicochemical forces[J]. Journal of Engineering Mechanics. 2016, 142(11): 04016088. doi: 10.1061/(ASCE)EM.1943-7889.0001146
[13]	ALONSO E E, PEREIRA J M, VAUNAT J, et al. A microstructurally based effective stress for unsaturated soils[J]. Géotechnique, 2010, 60(12): 913-925. doi: 10.1680/geot.8.P.002
[14]	蔡国庆, 王亚南, 周安楠, 等. 考虑微观孔隙结构的非饱和土水-力耦合本构模型[J]. 岩土工程学报, 2018, 40(4): 618-624. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201804008.htm CAI Guo-qing, WANG Ya-nan, ZHOU An-nan, et al. A microstructure-dependent hydro-mechanical coupled constitutive model for unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(4): 618-624. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201804008.htm
[15]	陈正汉. 非饱和土与特殊土力学的基本理论研究[J]. 岩土工程学报, 2014, 36(2): 201-272. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201402002.htm CHEN Zheng-han. On basic theories of unsaturated soils and special soils[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(2): 201-272. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201402002.htm
[16]	DAFALIAS Y F, HERRMANN L R. Bouding surface formulation of soil plasticity[C]//Soil Mechanics-Transient and Cyclic Loads, 1982, New Yor.
[17]	杨杰, 尹振宇, 黄宏伟, 等. 基于扰动状态概念硬化参量的结构性黏土边界面模型[J]. 岩土工程学报, 2017, 39(3): 554-561. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201703028.htm YANG Jie, YIN Zhen-yu, HUANG Hong-wei, et al. Bounding surface plasticity model for structured clays using disturbed state concept-based hardening variables[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(3): 554-561. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201703028.htm
[18]	张卫华, 赵成刚, 傅方. 饱和砂土相变状态边界面本构模型[J]. 岩土工程学报, 2013, 35(5): 930-939. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201305022.htm ZHANG Wei-hua, ZHAO Cheng-gang, FU Fang. Bounding-surface constitutive model for saturated sands based on phase transformation state[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(5): 930-939. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201305022.htm
[19]	黄茂松, 杨超, 崔玉军. 循环荷载下非饱和结构性土的边界面模型[J]. 岩土工程学报, 2009, 31(6): 817-823. doi: 10.3321/j.issn:1000-4548.2009.06.001 HUANG Mao-song, YANG Chao, CUI Yu-jun. Elasto- plastic bounding surface model for unsaturated soils under cyclic loading[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(6): 817-823. (in Chinese) doi: 10.3321/j.issn:1000-4548.2009.06.001
[20]	李舰, 赵成刚, 刘艳, 等. 适用于膨胀性非饱和土的边界面模型的数值实现[J]. 岩石力学与工程学报, 2017, 36(10): 2551-2562. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201710024.htm LI Jian, ZHAO Cheng-gang, LIU Yan, et al. Numerical implementation of a bounding surface model for unsaturated expansive clays[J]. Chinese Journal of Rock Mechanics and Engineering, 2017, 36(10): 2551-2562. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201710024.htm
[21]	RUSSELL A R, KHALILI N. A unified boundig surface plasticity model for unsaturated soils[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2006, 30: 181-212.
[22]	FISHER R A. On the capillary forces in an ideal soil: correction of formulae given by W B Haines[J]. The Journal of Agricultural Science, 1926, 16(3): 492-505.
[23]	GALLIPOLI D, GENS A, CHEN G J, D'ONZA F. Modelling unsaturated soil behaviour during normal consolidation and at critical state[J]. Computers and Geotechnics, 2008, 35: 825-834.
[24]	BARDET J P. Bounding surface plasticity model for sands[J]. Journal of Engineering Mechanics, 1986, 112: 1198-1217.
[25]	ZIENKIEWICZ O C, LEUNG K H, PASTOR M. Simple model for transient soil loading in earthquake analysis: I Basic model and its application[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1985, 9: 453-476.
[26]	GALLIPOLI D, WHEELER S J, KARSTUNEN M. Modelling the variation of degree of saturation in a deformable unsaturated soil[J]. Géotechnique, 2003, 53(1): 105-112.
[27]	GALLIPOLI D. A hysteretic soil-water retention model accounting for cyclic variations of suction and void ratio[J]. Géotechnique, 2012, 62(7): 605-616.
[28]	HU R, CHEN Y F, LIU H H, et al. A water retention curve and unsaturated hydraulic conductivity model for deformable soils: consideration of the change in pore-size distribution[J]. Géotechnique, 2013, 63(16): 1389-1405.
[29]	蔡国庆, 田京京, 李舰, 等. 考虑变形及滞回效应影响的三维土-水特征曲面模型[J]. 土木工程学报, 2019, 52(11): 97-107. https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC201911011.htm CAI Guo-qing, TIAN Jing-jing, LI Jian, et al. A three-dimensional soil water characteristic surface model considering deformation and hysteresis effect[J]. China Civil Engineering Journal, 2019, 52(11): 97-107. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC201911011.htm
[30]	VAN Genuchten M T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils[J]. Soil Science Society of America Journal, 1980, 44: 892-898.
[31]	WEI C F, DEWOOLKAR M M. Formulation of capillary hysteresis with internal state variables[J]. Water Resources Research, 2006, 42: W07405.
[32]	HU R, CHEN Y F, LIU H H, et al. A coupled stress-strain and hydraulic hysteresis model for unsaturated soils: Thermodynamic analysis and model evaluation[J]. Computers and Geotechnics, 2015, 63: 159-170.
[33]	SHARMA R S. Mechanical Behaviour of Unsaturated Highly Expansive Clays[D]. Glasgow: University of Oxford, 1998.
[34]	SIVAKUMAR V. A Critical State Framework for Unsaturated Soil[D]. Glasgow: University of Sheffield, 1993.
[35]	GALLIPOLI D. Constitutive and Numerical Modelling of Unsaturated Soils[D]. Glasgow: University of Glasgow, 2000.

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