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有限土层轴对称Biot固结的一个新的解析解

艾智勇 王全胜

艾智勇, 王全胜. 有限土层轴对称Biot固结的一个新的解析解[J]. 应用数学和力学, 2008, 29(12): 1472-1478.
引用本文: 艾智勇, 王全胜. 有限土层轴对称Biot固结的一个新的解析解[J]. 应用数学和力学, 2008, 29(12): 1472-1478.
AI Zhi-yong, WANG Quan-sheng. A New Analytical Solution for Axisymmetric Biot’s Consolidation of a Finite Soil Layer[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1472-1478.
Citation: AI Zhi-yong, WANG Quan-sheng. A New Analytical Solution for Axisymmetric Biot’s Consolidation of a Finite Soil Layer[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1472-1478.

有限土层轴对称Biot固结的一个新的解析解

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(1966- ),男,江西余江人,副教授,博士(联系人.Tel:+86-21-65982201;Fax:+86-21-65985210;E-mail:zhiyongai@tongji.edu.cn).

  • 中图分类号: TU43;O343

A New Analytical Solution for Axisymmetric Biot’s Consolidation of a Finite Soil Layer

  • 摘要: 提出一个新的解析方法来研究有限土层的轴对称Biot固结.从轴对称Biot固结的控制方程出发,结合Laplace变换的微分性质,建立了Laplace和Hankel变换域内有限土层地基表面(z=0)和任意深度z处基本变量之间的关系.然后结合有限土层的边界条件,推导出Laplace和Hankel变换域内任意一点的解析解.通过进行Laplace逆变换和Hankel逆变换得到了物理域内的解.编制了计算程序,并对有限土层轴对称固结进行了数值分析.
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出版历程
  • 收稿日期:  2008-06-15
  • 修回日期:  2008-10-27
  • 刊出日期:  2008-12-15

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