摘要
研究了非饱和粘弹性地基在加荷随时间指数变化作用下的一维固结特性。针对粘弹性地基土最基本的merchant模型,采用李氏比拟法,依据Fredlund固结理论及Cayley-Hamilton数学方法得到Laplace变换域内的超孔隙压力的解;再根据Crump方法编制程序进行Laplace逆变换得到了时间域内的超孔隙压力及土层沉降的半解析解。最后,本文给出了一个典型算例,揭示了在加荷随时间指数变化下非饱和粘弹性地基的固结特性,扩展了非饱和土固结理论在工程实际中的适用性。
This paper presents an semi-analytical solution to one-dimensional visco-elastic consolidation in unsaturated soils with a finite thickness under confinements in the lateral direction and loading vertical changed exponentially with time.The boundary contains the top surface permeable to water and air and the bottom impermeable to water and air.The transfer relationship between the state vectors at top surface and any depth is gained by using the Laplace transform and Cayley-Hamilton mathematical methods to the governing equations of water and air,Darcy＇s law and Fick＇s law.The excess pore-air pressure and excess pore-water pressure and settlement in the Laplace-transformed domain are obtained by using the Laplace transform with the initial and boundary conditions.By performing the inverse Laplace transforms,the analytical solutions of the excess pore-air and excess pore-water pressures at any depth and settlement are obtained in the time domain.
出处
《建筑科学》
北大核心
2010年第11期8-13,20,共7页
Building Science
关键词
非饱和土
粘弹性地基
一维固结
半解析解
超孔隙水压
超孔隙气压
沉降
unsaturated soil
visco-elastic foundation
one-dimension consolidation
semi-analytical solution
excess pore-water pressure
excess pore-air pressure
settlement
