水力-力学耦合的超固结非饱和土本构模型的隐式积分算法及其应用

李吴刚; 杨庆

doi:10.11779/CJGE201809011

水力-力学耦合的超固结非饱和土本构模型的隐式积分算法及其应用 English Version

李吴刚^{1, 2},
杨庆^1, ,

1. 大连理工大学海岸和近海工程国家重点实验室,辽宁大连 116024;
2. 江南大学环境与土木工程学院,江苏无锡 214000

基金项目: 国家自然科学基金重点项目（51639002）; 国家自然科学基金项目（41572252）; 辽宁省博士科研启动基金项目（201601055）

详细信息

作者简介:
李吴刚(1988- ),男,博士研究生,主要从非饱和土本构关系的研究工作。E-mail: lwgjn@mail.dlut.edu.cn。

通讯作者:
杨庆，E-mail：qyang@dlut.edu.cn

中图分类号: TU432
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出版历程
- 收稿日期: 2017-06-28
- 发布日期: 2018-09-24

Implicit integration algorithm of hydro-mechanical constitutive model for overconsolidated unsaturated soils and its application

LI Wu-gang^{1, 2},
YANG Qing^1, ,

1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;
2. School of Environment and Civil Engineering, Jiangnan University, Wuxi 214000, China

摘要

摘要: 超固结非饱和土经常出现于工程实践中,表现出复杂的力学性质。从已有的非饱和土水力-力学耦合的本构模型出发,将超固结的影响加入到了模型中,使模型可以考虑超固结对非饱和土力学性质的影响。超固结非饱和土本构方程的求解是一个复杂的非线性问题,给出了该超固结非饱和土水力-力学耦合模型的隐式积分算法和本构模型的一致切线模量,并对该算法进行验证,证明了该算法的正确性,最后采用该算法对某非饱和土质边坡在地下水位上升的情况下进行有限元分析。
- 非饱和土 /
- 超固结 /
- 本构模型 /
- 隐式积分算法 /
- 数值模拟
Abstract: The overconsolidated unsaturated soils emerge in many engineering projects. The constitutive models for unsaturated soils are very complicated due to the complex mechanical beahviour of overconsolidated unsaturated soils. A modified constitutive model is given considering the effect of overconsolidation. The constitutive models for the overconsolidated unsaturated soils are used to solve complicated non-linear problems. The implicit integration algorithm of a hydro-mechanical constitutive model for overconsolidated unsaturated soils is given. The consistent tangent modulus is also given. The implicit integration algorithm is validated by the experimental data available in the literatures. The algorithm is applied to the finite element method to analyze an unsaturated soil slope.
- unsaturated soil /
- overconsolidation /
- constitutive model /
- implicit integration algorithm /
- numerical simulation

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参考文献(19)

[1]	ALONSO E E, GENS A, JOSA A.A constitutive model for partially saturated soils[J]. Géotechnique, 1990, 40(3): 405-430.
[2]	WHEELER S, SHARMA R, BUISSON M.Coupling of hydraulic hysteresis and stress-strain behaviour in unsaturated soils[J]. Géotechnique, 2003, 53(1): 41-54.
[3]	刘艳, 赵成刚, 蔡国庆, 等. 考虑气相压力变化和偏应力影响的非饱和土本构模型[J]. 岩土工程学报, 2011, 33(5): 754-761. (LIU Yan, ZHAO Cheng-gang, CAI Guo-qing, et al.New model for unsaturated soils considering variation of gas pressure and shear stress[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(5): 754-761. (in Chinese))
[4]	ZHOU A N, SHENG D.An advanced hydro-mechanical constitutive model for unsaturated soils with different initial densities[J]. Computers and Geotechnics, 2015, 63: 46-56.
[5]	KRIEG R D, KRIEG D B.Accuracies of numerical solutionmethods for the elastic-perfectly plastic model[J]. ASME, Pressure Vessel Technol, 1977, 99(4): 510-515.
[6]	SIMO J C, TAYLOR R L.Consistent tangent operators for rate independent elastoplasticity[J]. Computer Methods in Applied Mechanics and Engineering, 1985, 48(1): 101-118.
[7]	VAUNAT J.A stress point algorithm for an elastoplastic model in unsaturated soils[J]. International Journal of Plasticity, 2000, 16: 121-141.
[8]	ZHANG H W.Implicit integration of a generalized plasticity constitutive model for partially saturated soil[J]. Engineering Computations, 2001, 18(1/2): 314-336.
[9]	BORJA R I.Cam-clay plasticity, part V: a mathematical framework for three phase deformation and strain localization analysis of partially saturated porous media[J]. Computer Methods in Applied Mechanics and Engineering, 2004, 193: 5301-5338.
[10]	HOYOS L R, ARDUINO P.Implicit algorithms in modeling unsaturated soil response in three-invariant stress space[J]. International Journal of Geomechanics, 2008, 8: 266-273.
[11]	刘艳, 韦昌富, 房倩, 等. 非饱和土水-力本构模型及其隐式积分算法[J]. 岩土力学, 2014, 35(2): 365-370. (LIU Yan, WEI Chang-fu, FANG Qian, et al.Implicit integration algorithm of a hydro-mechanical coupling constitutive model for unsaturated soils[J]. Rock and Soil Mechanics, 2014, 35(2): 365-370. (in Chinese))
[12]	姚仰平, 牛雷, 崔文杰, 等. 超固结非饱和土的本构关系[J]. 岩土工程学报, 2011, 33(6): 833-839. (YAO Yang-ping, NIU Lei, CUI Wen-jie, et al.UH model for unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(6): 833-839. (in Chinese))
[13]	LI W G, YANG Q, WANG Y, et al.A new approach to interpret the mechanical behaviour of unsaturated soil using effective stress and degree of saturation[J/OL]. European Journal of Enviromental and Civil Engineering. DOI: 10.1080/19648189.2017.1344143.
[14]	HASHIGUCHI K.Subloading surface model in unconventional plasticity[J]. International Journal of Solids and Structures, 1989, 25(8): 917-945.
[15]	孙德安. 非饱和土的水力和力学特性及其弹塑性描述[J]. 岩土工程学报, 2009, 30(11): 3217-3231. (SUN De-an.Hydro-mechanical behaviours of unsaturated soils and their elastoplastic modelling[J]. Chinese Journal of Geotechnical Engineering, 2009, 30(11): 3217-3231. (in Chinese))
[16]	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(5): 892-898.
[17]	LI X S.Modelling of hysteresis response for arbitrary wetting/drying paths[J]. Computers and Geotechnics, 2005, 32(2): 133-137.
[18]	SUN D A, SHENG D, XIANG L, et al.Elastoplastic prediction of hydro-mechanical behaviour of unsaturated soils under undrained conditions[J]. Computers and Geotechnics, 2008, 35(6): 845-852.
[19]	SUN D A, SHENG D, CUI H B, et al.A density dependent elastoplastic hydro mechanical model for unsaturated compacted soils[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2007, 31(11): 1257-1279.