无网格法在裂纹研究中的应用  

The application of mesh free method in crack research

作　　者：刘聪[1] 夏茂辉[1] 姜皇普[2] 

机构地区：[1]燕山大学理学院,秦皇岛066000 [2]燕山大学信息科学与工程学院,秦皇岛066000

出　　处：《黑龙江大学自然科学学报》2007年第6期815-817,821,共4页Journal of Natural Science of Heilongjiang University

基　　金：燕山大学博士基金(B272)

摘　　要：裂纹是实际工程应用中常见的一种破坏形式,对其进行数值研究是很有益处的。提出将无网格法应用于裂纹研究中,给出无网格Galerkin方法应用的过程及其积分方案。在裂纹研究中,与有限元相比,无网格法避免了网格再生带来的数值计算困难,并在需要得到精确结果的区域可以很容易添加结点,从而可以更容易地控制计算精度。Crack is one kind of ordinary destructive manners in actual engineering application, so it is useful to do some numerical research in this domain. The authors bring forward how to make use of Mesh Free Method in crack research, then advance process and quadrature program in Element-free Galerkin method. In crack research, compared with Finite Element Method, Mesh free method has no problem in numerical computation of reproducing element, while it is much easier to increase nodes in the area that more precise result, in this way it is also apt to control computation precision.

关 键 词：无网格GALERKIN法 裂纹 弹性力学 数值积分 

分 类 号：O34[理学—固体力学]