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变荷载下半透水边界成层地基的一维固结
引用本文:蔡袁强,梁旭,吴世明.变荷载下半透水边界成层地基的一维固结[J].应用数学和力学,2004,25(8):855-862.
作者姓名:蔡袁强  梁旭  吴世明
作者单位:浙江大学 岩土工程研究所,杭州 310027;2.杭州市建设委员会,杭州 310027
基金项目:国家自然科学基金资助项目(59908012)
摘    要:在Terzaghi一维固结理论假设基础上,研究分析了半透水边界的层状饱和土在变荷载作用下有效应力比的变化规律.利用Laplace变换,得到了随时间任意变化荷载作用下的解答,并结合Laplace逆变换方法,对几种常见变荷载作用下的情况进行了讨论,得到了一些有益的结论.通常所研究的透水或不透水边界条件只是该文的特例.和平均指标法相比,该文所给方法计算的土体有效应力变化规律更精确.

关 键 词:一维固结    半透水边界    成层地基    变荷载    Laplace变换    有效应力比    平均指标法
文章编号:1000-0887(2004)08-0855-08
收稿时间:2002-11-20
修稿时间:2002年11月20

One-Dimensional Consolidation of Layered Soils With Impeded Boundaries Under Time-Dependent Loadings
CAI Yuan-qiang,LIANG Xu.One-Dimensional Consolidation of Layered Soils With Impeded Boundaries Under Time-Dependent Loadings[J].Applied Mathematics and Mechanics,2004,25(8):855-862.
Authors:CAI Yuan-qiang  LIANG Xu
Institution:Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310027, P. R. China;
Abstract:On the basis of Terzaghi's one-dimensional consolidation theory, the variation of effective stress ratio in layered saturated soils with impeded boundaries under time-dependent loading was studied. By the method of Laplace transform, the solution was presented. Influences of different kinds of cyclic loadings and impeded boundaries conditions were discussed. Through numerical inversion of Laplace transform, useful illustrations were given considering several common time-dependent loadings. Pervious or impervious boundary condition is just the special case of the problem considered here. Compared with average index method,the results from the method illustrated are more accurate.
Keywords:one-dimensional consolidation  impeded boundary  layered soil  time-dependent loadling  Laplace transform  effective stress ratio  average index method
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