A meshless local Petrov-Galerkin method for geometrically nonlinear problems

被引：5
|
作者：
Xiong, YB [1 ]
Long, SY
Hu, DA
Li, GY
机构：
[1] Hunan Univ, Dept Engn Mech, Changsha 410082, Peoples R China
[2] Hunan Univ, Minist Educ, Key Lab Adv Technol Vehicle Body Design & Mfg, Changsha 410082, Peoples R China
来源：
ACTA MECHANICA SOLIDA SINICA | 2005年 / 18卷 / 04期
关键词：
local Petrov-Galerkin method; moving least square approximation; total Lagranian method; geometrically nonlinear problems;
D O I：
10.1007/s10338-005-0544-x
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Nonlinear formulations of the meshless local Petrov-Galerkin (MLPG) method are presented for geometrically nonlinear problems. The method requires no mesh in computation and therefore avoids mesh distortion difficulties in the large deformation analysis. The essential boundary conditions in the present formulation are imposed by a penalty method. An incremental and iterative solution procedure is used to solve geometrically nonlinear problems. Several examples are presented to demonstrate the effectiveness of the method in geometrically nonlinear problems analysis. Numerical results show that the MLPG method is an effective one and that the values of the unknown variable are quite accurate.
引用
收藏
页码：348 / 356
页数：9
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