多层渗透各向异性地基非轴对称固结分析

艾智勇; 梅阿敏

doi:10.13204/j.gyjz200811015

多层渗透各向异性地基非轴对称固结分析

doi: 10.13204/j.gyjz200811015

1.
同济大学地下建筑与工程系岩土及地下工程教育部重点实验室,上海 200092

基金项目:

国家自然科学基金资助项目(50578121)

详细信息

作者简介:
艾智勇,男,1966年10月出生博士副教授.E-mail:zhiyongai@mail.tongji.edu.cn

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- 文章访问数: 79
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- PDF下载量: 51
- 被引次数: 0
出版历程
- 收稿日期: 2008-06-25
- 刊出日期: 2008-11-20

ASYMMETRIC CONSOLIDATION OF MULTI-LAYERED SOILS WITH ANISOTROPIC PERMEABILITY

1.
Department of Geotechnical Engineering,Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University Shanghai 200092

摘要

摘要: 从渗透各向异性非轴对称固结基本方程出发,通过引入Fourier级数展开,对时间t、坐标r的Laplace-Hankel变换,再对坐标z的Laplace变换,得到四元一次方程组,解此方程组,并进行Laplace逆变换,得到了单层渗透各向异性地基非轴对称固结问题的传递矩阵,然后利用传递矩阵法,结合层间连续性条件和边界条件,得到了多层渗透各向异性地基非轴对称固结问题在积分变换域内的解。最后应用Laplace-Hankel逆变换技术得到非轴对称固结问题在物理域内的理论解;并编制出相应的计算程序,进行数值计算和分析,以讨论渗透各向异性对地基固结的影响。
- 渗透各向异性 /
- Fourier级数展开 /
- Laplace-Hankel变换 /
- 传递矩阵法
Abstract: Starting from the governing equations of asymmetric consolidation of soil with anisotropic permeability,together with the technique of Fourier expansions,Laplace-Hankel transform with respect to coordinate z,time t and coordinate r,respectively,a linear equations in four is obtained,after solving the equations,the transfer matrix for a single soil layer with anisotropic permeability is first acquired.Based on the continuity and the boundary conditions,the transfer matrix method is utilized to derive the solution for the multi-layered soils with anisotropic permeability in the transform domain.By the inversion of the Laplace-Hankel transform,the solution for consolidation problems of multi-layered soils with anisotropic permeability in the physical domain is obtained.Numerical calculation and analysis are carried out by the computer program,and the effect of anisotropic permeability on the process of soil consolidation is also discussed.
- anisotropic permeability /
- Fourier expansion /
- Laplace-Hankel transform /
- transfer matrix

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参考文献(7)

陈开旭,陈光敬.解析法求解成层渗透各向异性地基Biot固结轴对称问题.应用力学学报,2000,17(2):7-11

[2] Muki T.Asymmetric Problems of the Theory of Elasticity for a Semi Infinite Solid and a Thick Plate//Sneddon I N,Hill R.Progress in Solid Mechanies.North-Holland.Amsterdam:1960:399-439

[3] Sneddon I N.The Use of Integral Transform.New York:McGraw-Hill.1972

[4] Talbot A.The Accurate Numerical Inversion of Laplace Transforms.Journal of Institute of Mathematics and Its Application,1979,23:97-120

[5] Booker J R,Small J C.A Method of Computing the Consolidation Behavior of Layered Soils Using Direct Numerical Inversion of Laplace Transforms.Intemational Journal for Numerical and Analytical Methods in Geo-Mechanics,1987,11:363-380

[6] Ai Z Y,Yue Z Q,Tham L G,et al.Extended Sneddon and Muki Solutions for Multilayered Elastic Materials.Intemational Journal of Engineering Science,2002,40:1 453-1 483

[7] Schiffman R L,Fungaroli A A.Consolidation due to Tangential Loads//Proc Sixth Int.Conf.on Soil Mechanics and Foundation Engineering.1965,1:188-192

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