| 三维塑性极限分析下限法原理及应用 |
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| 引用本文： | 王均星,吴雅峰,李泽.三维塑性极限分析下限法原理及应用[J].岩土力学,2004,25(10):1627-1631. |
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| 作者姓名： | 王均星 吴雅峰 李泽 |
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| 作者单位： | 武汉大学 水资源与水电工程科学国家重点实验室，湖北 武汉 430072 |
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| 摘 要： | 介绍了三维塑性极限分析下限法的基本原理。将计算区域离散为有限个三维空间单元，利用极限分析中的下限定理，借助有限元思想建立数学规划模型，并引入非线性规划的数值方法寻求问题的下限解。以均匀土质边坡的极限荷载作为算例，比较了所得数值解与经典塑性力学理论解，论证了该方法的正确性。
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| 关 键 词： | 三维有限元 极限分析下限 非线性规划 |
| 文章编号： | 1000-7598-(2004)10-1627-05 |
| 收稿时间： | 2004-02-18 |
| 修稿时间： | 2004年2月18日 |
Lower bound theory of 3-D plastic limit analysis and its application |
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| WANG Jun-xing,WU Ya-feng,LI Ze.Lower bound theory of 3-D plastic limit analysis and its application[J].Rock and Soil Mechanics,2004,25(10):1627-1631. |
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| Authors: | WANG Jun-xing WU Ya-feng LI Ze |
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| Institution: | State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China |
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| Abstract: | This paper describes the lower bound theory of 3-D plastic limit analysis. The static stress field is established by means of 3-D finite element technique. Based on the lower bound principles of limit analysis, a mathematical model is established by means of finite element method. The lower bound solution of the model is obtained by nonlinear programming. As an example, the bearing capacity of a homogeneous slope is analyzed, and the comparison between lower bound limit analysis and classical plasticity theory illustrates the correctness of the method. |
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| Keywords: | D finite element lower bound limit analysis nonlinear programming |
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