循环荷载下非饱和黏弹性地基一维固结特性分析

doi:10.12066/j.issn.1007-2861.1799

上海大学学报(自然科学版) ›› 2017, Vol. 23 ›› Issue (6): 937-.doi: 10.12066/j.issn.1007-2861.1799

循环荷载下非饱和黏弹性地基一维固结特性分析

秦爱芳, 吕康立

上海大学土木工程系, 上海 200444

收稿日期:2016-02-29 出版日期:2017-12-30 发布日期:2017-12-30
通讯作者: 秦爱芳(1966—), 女, 教授, 博士生导师, 博士, 研究方向为非饱和土固结、核废料处置库性状等. E-mail: qinaifang@shu.edu.cn
作者简介:秦爱芳(1966—), 女, 教授, 博士生导师, 博士, 研究方向为非饱和土固结、核废料处置库性状等. E-mail: qinaifang@shu.edu.cn
基金资助:
国家自然科学基金资助项目(41372279); 上海市自然科学基金资助项目(13ZR1416200)

Analysis of one-dimensional consolidation characteristics of viscoelastic unsaturated soils under cyclic loads

QIN Aifang, LÜ Kangli

Department of Civil Engineer, Shanghai University, Shanghai 200444, China

Received:2016-02-29 Online:2017-12-30 Published:2017-12-30

摘要/Abstract

摘要：

采用Fredlund非饱和土一维固结理论, 由液相及气相控制方程、Darcy定律及Fick定律, 经Laplace变换并采用Cayley-Hamilton数学方法, 引入边界及初始条件, 得到了单面排水排气条件下任意加荷时有限厚度黏弹性非饱和地基一维固结Laplace变换域内的超孔隙气压力、超孔隙水压力及土层沉降的解. 然后, 在此基础上引入3种循环荷载, 采用Crump及Durbin方法实现Laplace逆变换, 得到时间域内超孔隙气压力、超孔隙水压力及土层沉降的半解析解. 最后, 引用典型算例, 进行了相应的固结特性分析.

关键词: 黏弹性, 循环荷载, 一维固结, 非饱和土

Abstract:

This paper presents a semi-analytical solution to one-dimensional consolidation in viscoelastic unsaturated soils with a finite thickness under arbitrary loads. It is based on the Fredlund’s one-dimensional consolidation theory for unsaturated soil. The excess poreair and pore-water pressures and settlement in the Laplace-transform domain were obtained by applying the Laplace transform and Cayley-Hamilton mathematical methods to the governing equations of water and air, Darcy’s law and Fick’s law. The top surface of soil is permeable to water and air, and the bottom impermeable to water and air. On this basis and by introducing three kinds of cyclic loads, semi-analytical solutions are obtained in the time domain using the Crump and Durbin method to perform Laplace inversion. Finally, the relevant behavior of one-dimensional consolidation for the viscoelastic unsaturated soil is discussed.

Key words: cyclic load, one-dimensional consolidation, viscoelastic, unsaturated soil

秦爱芳, 吕康立. 循环荷载下非饱和黏弹性地基一维固结特性分析[J]. 上海大学学报(自然科学版), 2017, 23(6): 937-.

QIN Aifang, Lü Kangli. Analysis of one-dimensional consolidation characteristics of viscoelastic unsaturated soils under cyclic loads[J]. Journal of Shanghai University（Natural Science Edition）, 2017, 23(6): 937-.

参考文献

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循环荷载下非饱和黏弹性地基一维固结特性分析

Analysis of one-dimensional consolidation characteristics of viscoelastic unsaturated soils under cyclic loads

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