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多层地基的弹塑性分析
引用本文:郭小明,李兵,赵惠麟.多层地基的弹塑性分析[J].应用力学学报,2001,18(4):87-92.
作者姓名:郭小明  李兵  赵惠麟
作者单位:东南大学,南京,210096
摘    要:提出了多层地基的弹塑性力学分析方法,该方法建立在严格的数学、力学基础上,所推得的泛函求解式子具有可靠、明了的特点。通过有限元离散后,归结出一个求自由变量的二次规划问题,用所设计的算法进行求解,可避开传统迭代法中反复迭代的过程,具有高效、优化等特点。此方法可用于多层地基的路面设计以及对地基工作状态进行分析。

关 键 词:多层地基  弹塑性分析  有限元方法  二次规划法  路面设计  地基工作状态  公路  机场跑道  非法向流动性质  边值问题
文章编号:1000-4939(2001)04-0087-06
修稿时间:2000年2月28日

An Elastoplastic Analysis for Multiple Layered Foundation
Guo Xiaoming,Li Bing,Zhao Huilin.An Elastoplastic Analysis for Multiple Layered Foundation[J].Chinese Journal of Applied Mechanics,2001,18(4):87-92.
Authors:Guo Xiaoming  Li Bing  Zhao Huilin
Abstract:A new method to elastoplastic analysis is proposed for multiple layered foundation. It has reliable mathematical and mechanical basis, and the new functional form has more convenient than the traditional energy method. The finite element form of the present formulations is deduced. The problem can be solved by means of the quadratic programming with free variables. It has convergent solutions with fewer base exchanges instead of the common iterative methods. The new approach presented in this paper has efficient and optimum character. It can be used to design rigid pavement with multiple layered foundation, as well as to analyze the operating conditions of the foundation.
Keywords:multiple layered foundation  elastoplastic analysis  finite element method  quadratic programming  
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