用无网格伽辽金方法分析大变形问题

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应用无网格伽辽金方法分析结构大变形问题
Analysis of Large Deformation Problem with Mesh Free Galerkin Method

结构工程师,Structural Engineers,2003. 66. 增刊/Sup,18~22

摘要 无单元法由于不需要复杂的网格划分，不存在网格畸变问题，因此在大变形分析领域有着广阔的应用前景。本文利用无网格伽辽金（EFGM）方法，对二维结构大变形问题进行了分析，得到了传统有限元方法所难以得到的结果。文中详细讨论了无网格伽辽金方法的基函数、权函数的选取及影响域的设定，并给出了各参数的具体取值。用计算实例说明了无网格伽辽金方法在解决结构大变形问题上的优势。

关键词 无网格伽辽金方法；大变形；无单元法

Abstract Meshless method has obviously advantage in large deformation area, because there is no mesh needed, and no mesh distortion happens. Large deformation for plane problems are analyzed in this paper with mesh free galerkin method (EFGM). In order to improve the speed and the stability of computation, the three basic problems for moving least square method (MLS) in EFGM, which are the base function, the weight function and the influence area, are discussed in details, respectively. The values of each parameter used in this analysis are also listed. The examples show that the EFGM can solve some special problems that are difficult for the finite element method.

Keywords Mesh free galerkin method; large deformation; meshless method

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受力状态	受压变形（压缩率87.5%)
受拉变形（拉伸率425％）