APPLICATION OF POLYGONAL FINITE ELEMENTS IN LINEAR ELASTICITY

被引：58
|
作者：
Tabarraei, A. [1 ]
Sukumar, N. [1 ]
机构：
[1] Univ Calif Davis, Dept Civil & Environm Engn, Davis, CA 95616 USA
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2006年 / 3卷 / 04期
基金：
美国国家科学基金会;
关键词：
Barycentric coordinates; meshfree methods; natural neighbors; Laplace interpolant;
D O I：
10.1142/S021987620600117X
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a conforming polygonal finite element method is applied to problems in linear elasticity. Meshfree natural neighbor (Laplace) shape functions are used to construct conforming interpolating functions on any convex polygon. This provides greater flexibility to solve partial differential equations on complicated geometries. Closed-form expressions for Laplace shape functions on pentagonal, hexagonal, heptagonal, and octagonal reference elements are derived. Numerical examples are presented to demonstrate the accuracy of the method in two-dimensional elastostatics.
引用
收藏
页码：503 / 520
页数：18
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