基础理论与实验研究

非饱和黏土状态相关本构模型的数值实现

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  • 1. 北京交通大学 土建学院,北京 100044;2. 中国科学院武汉岩土力学研究所 岩土力学与工程国家重点试验室,湖北 武汉 430071
李舰,男,1985年生,博士,博士后,主要从事非饱和土本构和数值计算工作。

收稿日期: 2016-06-15

  网络出版日期: 2018-06-05

基金资助

中央高校基本科研业务费专项资金(No. 2016RC043);国家自然基金资助项目(No. 51608033);中国博士后科学基金(No. 2015M582314)

Numerical implementation of a state-dependent constitutive model for unsaturated clays

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  • 1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China; 2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China

Received date: 2016-06-15

  Online published: 2018-06-05

Supported by

This work was supported by the Fundamental Research Funds for the Central Universities (2016RC043), the National Natural Science Foundation of China (NSFC) (51608033) and the China Postdoctoral Science Foundation (2015M582314).

摘要

基于双重塑性机制,即剪切滑移和加载湿陷机制,及毛细滞回和变形间的耦合作用,提出了一个适用于非饱和黏土的状态相关本构模型。建立了该模型的隐式积分算法,并处理了双重固相屈服面交点处的应力积分问题。考虑了吸力与应力间的关系,推导了本构关系的一致性切线模量。最后,利用该模型预测了一组非饱和黏土的三轴试验,以此反映模型的描述能力;对比了不同应变步长下应变控制试验的计算结果,并以此验证算法的收敛性和准确性;利用有限元程序平台U_DYSAC2计算了二维情况下非饱和土地区地基固结问题,从而验证所得一致性切线模量的有效性。

本文引用格式

李 舰,韦昌富,刘 艳, . 非饱和黏土状态相关本构模型的数值实现[J]. 岩土力学, 2017 , 38(10) : 2799 -2808 . DOI: 10.16285/j.rsm.2017.10.004

Abstract

A state-dependent constitutive model for unsaturated clays is proposed based on the double plastic mechanisms (i.e., shear sliding and loading collapse mechanisms), and the coupling between hydraulic hysteresis and stress-strain behavior. In the proposed model, the stress integration at the intersection of two solid phase yield surfaces is addressed using an implicit integration algorithm. The consistent tangent matrix of constitutive model is explicitly derived by considering the relationship between stress and suction. Finally, the numerical simulations of triaxial tests on unsaturated clay are carried out to demonstrate the abilities of the constitutive model. The calculated results of strain-controlled tests on unsaturated soils with different step sizes are compared to demonstrate the convergence and accuracy of the implicit algorithm. The two-dimensional ground consolidation of unsaturated soils is analyzed using the U_DYSAC2 program to demonstrate the validity of the consistent tangent matrix.
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