A combined two-surface elastoplastic model for hydro-mechanical coupling behavior of unsaturated cohesive soils
LI Xiaoxuan1,2,LI Tao3
(1. Yellow River Engineering Consulting Co.,Ltd.,Zhengzhou,Henan 450003,China;2. Post-Doctoral Station of Yellow River
Engineering Consulting Co.,Ltd.,Zhengzhou,Henan 450003,China;3. School of Civil Engineering,
Beijing Jiaotong University,Beijing 100044,China)
Abstract:Complex hydro-mechanical coupling properties of unsaturated cohesive soils appear under external loading. In this paper,an elastoplastic two-surface model which can describe the hydro-mechanical coupling character has been formulated based on elastoplastic theory,adapting the suggested plastic hardening criterion extended to unsaturated soils,considering the arbitrary stress path variation in the(p?-q-s) space. The model reflects the coupling effect of stress and suction through mean skeleton stress and modified suction. Two groups of loading surfaces and bounding surfaces were used to describe the plastic yield induced by coupled hydro-mechanical during loading and/or dry-wetting processes respectively. The fully coupled description and solution of the hydro-mechanical characteristics of unsaturated clay are realized. Compared with the conventional triaxial shear test results of unsaturated clay,the model can better simulate the stress-strain characteristics of unsaturated clay under coupled hydro-mechanical.
[1] GENS A,ALONSO E E. A framework for the behaviour of unsaturated expansive clays[J]. Canadian Geotechnical Journal,1992,29(6):1 013–1 032.
[2] CUI Y J,DELAGE P,SULTAIN N. An elasto-plastic model for compacted soils[C]// Proceedings of the 1st International Conference on Unsaturated Soils. Rotterdam:Balkema,1995,(2):703–709.
[3] 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.(CHEN Zhenghan. On basic theories of unsaturated soils and special soils[J]. Chinese Journal of Geotechnical Engineering,2014,36(2):201–272.(in Chinese))
[4] ALONSO E E,GENS A,JOSA A. A constitutive model for partially saturated soil[J]. Geotechnique,1990,40(3):405–430.
[5] WHEELER S J,SIVAKUMAR V. An elasto-plastic critical state framework for unsaturated soil[J]. Geotechnique,1995,45(1):35–53.
[6] SUN D,MATSUOKA H,YAO Y,et al. An elasto-plastic model for unsaturated soil in three-dimensional stresses[J]. Soils and Foundations,2000,40(3):17–28.
[7] MARTI L C,SANCHEZ M,WHEELER S J. Formulation of a three-dimensional constitutive model for unsaturated soils incorporating mechanical-water retention couplings[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2013,37(17):3 008–3 035.
[8] RAVEENDIRARAJ A. Coupling of mechanical behaviour and water retention behaviour in unsaturated soils[Ph. D. Thesis][D]. Glasgow :University of Glasgow,2009.
[9] 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.
[10] FREDLUND D G,XING A. Equations for the soil-water characteristic curve[J]. Canadian Geotechnical Journal,1994,31(4):521–532.
[11] WHEELER S J,SHARMA R S,BUISSON M S R. Coupling of hydraulic hysteresis and stress-strain behaviour in unsaturated soils[J]. Geotechnique,2003,53(1):41–54.
[12] SHENG D. Review of fundamental principles in modelling unsaturated soil behaviour[J]. Computers and Geotechnics,2011,38(6):757–776.
[13] 盛岱超,杨 超. 关于非饱和土本构研究的几个基本规律的探讨[J]. 岩土工程学报,2012,34(3):438–456.(SHENG Daichao,YANG Chao. Discussion of fundamental principles in unsaturated soil mechanics[J]. Chinese Journal of Geotechnical Engineering,2012,34(3):438–456.(in Chinese))
[14] SHENG D,FREDLUND D G,GENS A. A new modelling approach for unsaturated soils using independent stress variables[J]. Canadian Geotechnical Journal,2008,45(4):511–534.
[15] SHENG D,PEDROSO D M,ABBO A J. Non-convexity and stress-path dependency of unsaturated soil models[J]. Computational Mechanics,2008,42(5):685–694.
[16] ZHOU A,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.
[17] ZHOU A,SHENG D,SLOAN S W,et al. Interpretation of unsaturated soil behaviour in the stress-saturation space,II:Constitutive relationships and validations[J]. Computers and Geotechnics,2012,43:111–123.
[18] LI X X,LI T,PENG L Y. Elastoplastic two-surface model for unsaturated cohesive soils under cyclic loading[J],International Journal of Geomechanics,ASCE,2020,20(8):04020122.
[19] 李潇旋,李 涛,彭丽云. 控制吸力循环荷载下非饱和黏性土的弹塑性双面模型[J]. 岩土力学,2020,41(2):552–560.(LI Xiaoxuan,LI Tao,PENG Liyun. Elastoplastic two-surface model for unsaturated cohesive soils under cyclic loading with controlled matric suction[J]. Rock and Soil Mechanics,2020,41(2):552–560.(in Chinese))
[20] 李潇旋,李 涛,李 舰,等. 循环荷载下非饱和土的各向异性弹塑性双面模型[J]. 岩石力学与工程学报,2019,38(增2):3 758– 3 766.(LI Xiaoxuan,LI Tao,LI Jian,et al. Anisotropic two-surface model for unsaturated soils under cyclic loading[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(Supp.2):3 758–3 766. (in Chinese))
[21] 李潇旋,李 涛,李 舰,等. 循环荷载下非饱和结构性黏土的弹塑性双面模型[J]. 岩土力学,2020,41(4):1 153–1 160.(LI Xiaoxuan,LI Tao,LI Jian,et al. Elastoplastic two-surface model for unsaturated structural clay under cyclic[J]. Rock and Soil Mechanics,2020,41(4):1 153–1 160.(in Chinese))
[22] 李潇旋,李 涛,李 舰. 超固结非饱和土的弹塑性双面模型[J]. 水利学报,2020,51(10):1 278–1 288.(LI Xiaoxuan,LI Tao,LI Jian. Elastoplastic two-surface model for overconsolidated unsaturated soils[J]. Journal of Hydraulic Engineering,2020,51(10):1 278– 1 288.(in Chinese))
[23] 李 涛,李潇旋,彭丽云. 常吸力下非饱和土水–力耦合循环塑性的模拟[J]. 哈尔滨工业大学学报,2021,53(5):104–112.(LI XIaoxuan,LI Tao,PENG Liyun. Simulation of hydro-mechanical coupling cyclic plasticity of unsaturated soils under constant suction condition[J]. Journal of Harbin Institute of Technology,2021,53(5):104–112.(in Chinese))
[24] CHEN R. Experimental study and constitutive modelling of stress-dependent coupled hydraulic hysteresis and mechanical behaviour of an unsaturated soil[Ph. D. Thesis][D]. Hong Kong :The Hong Kong University of Science and Technology,2007.
[25] 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.