基础理论与实验研究

考虑吸附水的非饱和土耗散本构关系研究

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  • 浙江大学 滨海和城市岩土工程研究中心,浙江 杭州 310027
胡亚元,男,1968年生,博士,副教授,主要从事环境土工、地基处理和土体本构关系的研究工作。

收稿日期: 2015-03-16

  网络出版日期: 2018-06-14

基金资助

国家自然科学基金(No.51178419)

Study of dissipative constitutive relation of unsaturated soil considering adsorbed water

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  • Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, China

Received date: 2015-03-16

  Online published: 2018-06-14

摘要

为了探索土水吸附特征对非饱和土力学特性的影响,根据赋存环境把土中水分为储存在毛细管内液面张力吸纳作用占主导的自由水和包裹在土颗粒周围基质静电吸着作用占主导的吸附水。通过把土颗粒基质与吸附水一起共同视为非饱和土骨架相,自由水视为液相、土中气视为气相,获得了考虑吸附水的非饱和土功表达式。根据热力学耗散理论,利用功表达式和局部热力学平衡假定,获得非饱和土在绝热变形过程中的熵流和熵产。基于热力学吸附平衡理论获得土中吸附水的吸附方程,进而提出具有实用性的吸附水土-水特征曲线。利用熵产表达式中的热力学共轭量和耗散空间的Drucker 塑性公设,采用纯简化有效应力和有效吸力这一对双应力变量,建立了考虑吸附水的土水完全耦合的非饱和土弹塑性理论框架,据此获得采用净应力和吸力表示的弹塑性柔度矩阵,用于采用上述本构理论建模时理论模型与土工试验成果之间直接相互验证。

本文引用格式

胡亚元 . 考虑吸附水的非饱和土耗散本构关系研究[J]. 岩土力学, 2015 , 36(S1) : 14 -18 . DOI: 10.16285/j.rsm.2015.S1.003

Abstract

In order to explore the effect of suction between soil and water on the mechanical response of unsaturated soil, the water in soil is divided from its existing environment into the free water which is store in capillary tubes of soil predominantly by the sucking action of liquid surface tension and the adsorbed water which is bound surrounding soil particles predominantly by the absorptive action of matrix electrostatic charge. After the soil particle matrix together with the absorbed water is thought of as soil skeleton phase, the free water is thought of as fluid phase and the gas in soil is thought of as gas phase, respectively, the work expression is obtained for unsaturated soil considering absorbed water. Based on the thermodynamical dissipative theory,entropic flow and entropic product expressions for unsaturated soil in the process of adiabatic deformation are derived from the work expression and local thermodynamic equilibrium assumption. The adsorption equation of adsorbed water in soil is achieved by the thermodynamical adsorption equilibrium theory; and a practical soil-water characteristic curve for adsorbed water is further proposed. Employing the thermodynamical conjugates of entropic product expression together with Drucker’s plastic postulate in dissipative space, the soil-water fully coupling elastoplastic theoretical framework of unsaturated soil in consideration of absorbed water is established by virtue of a couple of stress variables named as pure simplified effective stress and effective suction. The flexibility matrix with respect to net stress and suction is obtained from this theoretical framework, which can be used to compare directly theoretical model with experimental results in the application of the above theoretical framework on establishing the practical model.
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