| 渗透各向异性可压缩地基固结的平面应变分析 |
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| 引用本文： | 艾智勇,吴超.渗透各向异性可压缩地基固结的平面应变分析[J].力学学报,2009,41(5). |
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| 作者姓名： | 艾智勇 吴超 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金资助项目(50578121)~~ |
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| 摘 要： | 对多层地基的平面应变固结问题进行了研究,并同时考虑了土体的渗透各向异性和孔隙流体的可压缩性.从平而应变Biot固结的控制方程出发,对时间t,坐标z和x进行Laplace和Fourier变换,建立了地基表面(z=O)和任意深度z处的基本量在Laplauce-Fourier变换域内的传递矩阵关系.利用传递矩阵法,结合土层连续条件和边界条件,并应用Laplace-Fourier逆变换技术,推导出渗透各向异性可压缩多层地基平面应变固结的理论解.基于该解,编制了计算程序,并进行了数值计算.讨论了土体的渗透各向异性、孔隙流体的可压缩性以及地基的分层特性对地基同结的影响,分析结果表明:土体的渗透各向异性、孔隙流体的可压缩性,以及地基的分层特性对地基的固结行为有着重要的影响.
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| 关 键 词： | 平面应变崮结 渗透各向异性 可压缩性 多层地基 Laplace-Fourier变换 传递矩阵 |
ANALYSIS ON PLANE STRAIN CONSOLIDATION OF A MULTI-LAYERED SOIL WITH ANISOTROPIC PERMEABILITY AND COMPRESSBILITY CONSTITUENTS |
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| Ai Zhiyong
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Wu Chao.ANALYSIS ON PLANE STRAIN CONSOLIDATION OF A MULTI-LAYERED SOIL WITH ANISOTROPIC PERMEABILITY AND COMPRESSBILITY CONSTITUENTS[J].chinese journal of theoretical and applied mechanics,2009,41(5). |
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| Authors: | Ai Zhiyong Wu Chao |
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| Institution: | 2;Department of Geotechnical Engineering;Tongji University;Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education;Shanghai 200092;China |
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| Abstract: | This paper study the plane strain consolidation of a multi-layered soil,and the anisotropy of permeability and the compressibility of pore fluid one considered.Starting from the governing equations of plane strain Biot's consolidation,taking the Laplace transform and the Fourier transform with respect to time t,coordinate z and x,the transfer matrix relationship of basic variables in the transform domain between the ground surface(z=0) and an arbitrary depth z is obtained.Sequentially,the solutions to the p... |
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| Keywords: | plane strain consolidation anisotropic permeability compressibility a multi-layered soil Laplace-Fourier transform transfer matrix |
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