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利用数学软件对Mindlin解的积分及工程应用
引用本文:胡鹏飞,张在明.利用数学软件对Mindlin解的积分及工程应用[J].岩土工程技术,2008,22(1):1-5,19.
作者姓名:胡鹏飞  张在明
作者单位:1. 北京工业大学建筑工程学院,北京,100022
2. 北京市勘察设计研究院有限公司,北京,100038
基金项目:高等学校博士学科点专项科研项目 , 北京市自然科学基金
摘    要:探索了利用数学软件Mathematica对经典课题Mindlin解进行二次积分的方法,并以矩形均布荷载为例,分析讨论了Boussinesq解和Mindlin解在地基土体中引起的应力场分布的差异,从而为工程分析采用比较合理的方法打下了基础。

关 键 词:MATHEMATICA  Mindlin解  应力计算
文章编号:1007-2993(2008)01-0001-05
修稿时间:2007年11月23

Integral of Mindlin's Stress Formula by Mathematics Software and Its Application in Geotechnical Engineering
Hu Pengfei,Zhang Zaiming.Integral of Mindlin's Stress Formula by Mathematics Software and Its Application in Geotechnical Engineering[J].Geotechnical Engineering Technique,2008,22(1):1-5,19.
Authors:Hu Pengfei  Zhang Zaiming
Institution:Hu Pengfei,Zhang Zaiming(1.Beijing University of Technology,Beijing 100022;2.BGI Engineering Consultants Ltd. ,Beijing 100038 China)
Abstract:Efforts have been made to solve the problem of multiple integral of Mindlin's stress formula employing the mathematics software. And then the difference of distribution of stress fields in subsoil deduced by Boussinesq and Mindlin solutions was compared. Although the Boussinesq solution has been so widely used even for the analysis of problems concerning relatively deeply buried foundations, the verification was given that the introduced method would give more reasonable results for aforementioned problems.
Keywords:Mathematica  Mindliffs stress formula  stress calculation
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