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| 多边形单元的构造新方法及实现 | |
| 引用本文： | 蔡永昌,郭盛勇,杨健,朱合华.多边形单元的构造新方法及实现[J].同济大学学报(自然科学版),2009,37(7). |
| 作者姓名： | 蔡永昌 郭盛勇 杨健 朱合华 |
| 作者单位： | 1. 同济大学,地下建筑与工程系,上海,200092;同济大学,岩土及地下工程教育部重点实验室,上海,200092 2. 成都二滩水电开发有限公司,四川,成都,610021 3. 国家电力公司成都勘测设计研究院,四川,成都,610072 |
| 基金项目： | 国家自然科学基金，上海市青年科技启明星计划 |
| 摘 要： | 针对任意多边形单元生成困难的问题,提出了一种利用传统的三角形有限元网格生成形状合理的多边形单元网格的方法.该方法能够直接利用已经成熟的三角形网格生成算法,且具有消耗时间少、程序实施简单、稳定可靠等优点.详细介绍了该多边形网格的生成算法,进行了程序实现,并用算例证实了该方法的正确性. |
| 关 键 词： | 多边形单元 有限元 Wachspress 插值函数 自然单元 无网格 |
A New Construction and Implementation of Polygonal Elements |
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| CAI Yongchang,GUO Shengyong,YANG Jian and ZHU Hehua.A New Construction and Implementation of Polygonal Elements[J].Journal of Tongji University(Natural Science),2009,37(7). | |
| Authors: | CAI Yongchang GUO Shengyong YANG Jian and ZHU Hehua |
| Institution: | Department of Geotechnical Engineering,Tongji University,Shanghai 200092,China;Key Laboratory of Geotechnical and Underground Engineering of the Ministry of Education,Tongji University,Shanghai 200092,China;Ertan Hydropower Development Co.,Ltd.,Chengdu 610021,China;Chengdu Hydroelectric Investigation & Design Institute of SPC,Chengdu 610072,China;Department of Geotechnical Engineering,Tongji University,Shanghai 200092,China;Key Laboratory of Geotechnical and Underground Engineering of the Ministry of Education,Tongji University,Shanghai 200092,China |
| Abstract: | A study is made of the difficulty of generating n polygonal element and a generalized polygonal mesh construction method is proposed for generating acceptable polygonal elements by using the conventional triangular mesh.The well developed triangularization algorithm is directly used in the method.It is highly robust,reliable,easy to be implemented and less time consuming.The proposed polygonal meshing algorithm is described in detail and is coded in Standard C++.To demonstrate the validities of constructing element,numerical examples of the patch test and the cantilever beam are discussed. |
| Keywords: | polygonal finite element method finite element method Wachspress basis functions natural element meshless methods |
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