A modified meshless local Petrov-Galerkin method to elasticity problems in computer modeling and simulation

被引：36
|
作者：
Hu, D. A.
Long, S. Y. [1 ]
Liu, K. Y.
Li, G. Y.
机构：
[1] Hunan Univ, Minist Educ China, Dept Engn Mech, Changsha 410082, Peoples R China
[2] Hunan Univ, Minist Educ China, KeyLab Adv Technol Vehicle Body Design & Manufact, Changsha 410082, Peoples R China
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2006年 / 30卷 / 05期
基金：
中国国家自然科学基金;
关键词：
MLPG; elasticity problems; heaviside test function; MLS;
D O I：
10.1016/j.enganabound.2005.12.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A modified meshless local Petrov-Galerkin (MLPG) method is presented for elasticity problems using the moving least squares (MLS) approximation. It is a truly meshless method because it does not need a mesh for the interpolation of the solution variables or for the integration of the energy. In this paper, a simple Heaviside test function is chosen to overcome the computationally expensive problems in the MLPG method. Essential boundary conditions are imposed by using a direct interpolation method based on the MLPG method establishes equations node by node. Numerical results in several examples show that the present method yielded very accurate solutions. And the sensitivity of the method to several parameters is also studied in this paper. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：399 / 404
页数：6
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