A MESHLESS LOCAL PETROV-GALERKIN METHOD FOR GEOMETRICALLY NONLINEAR PROBLEMS

被引：1
|
作者：
Xiong Yuanbo Long Shuyao Hu De’an Li Guangyao Department of Engineering Mechanics
机构：
来源：
Acta Mechanica Solida Sinica | 2005年 / 04期
基金：
中国国家自然科学基金;
关键词：
local Petrov-Galerkin method; moving least square approximation; total Lagranian method; geometrically nonlinear problems;
D O I：
暂无
中图分类号：
TB113 [几何的应用];
学科分类号：
0701 ; 070104 ;
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
相关论文
共 50 条
  • [41] Petrov-Galerkin natural element method for geometrically nonlinear problem
    Cho, J. R.
    Lee, H. W.
    [J]. COMPUTATIONAL METHODS, PTS 1 AND 2, 2006, : 659 - +
  • [42] A modified meshless local Petrov-Galerkin method to elasticity problems in computer modeling and simulation
    Hu, D. A.
    Long, S. Y.
    Liu, K. Y.
    Li, G. Y.
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2006, 30 (05) : 399 - 404
  • [43] Complex problem domain based local Petrov-Galerkin meshless method for electromagnetic problems
    He, Wei
    Liu, Zehui
    Hutchcraft, W. Elliott
    Gordon, Richard K.
    Zhang, Ruiqiang
    Yang, Fan
    [J]. INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2013, 42 (01) : 73 - 83
  • [44] Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method
    Davoud Mirzaei
    Robert Schaback
    [J]. Numerical Algorithms, 2014, 65 : 275 - 291
  • [45] A coupled finite element and meshless local Petrov-Galerkin method for large deformation problems
    Li, Di
    Lu, Zhiyong
    Kang, Wenqian
    [J]. MANUFACTURING SCIENCE AND ENGINEERING, PTS 1-5, 2010, 97-101 : 3777 - 3780
  • [46] A complex variable meshless local Petrov-Galerkin method for transient heat conduction problems
    Wang Qi-Fang
    Dai Bao-Dong
    Li Zhen-Feng
    [J]. CHINESE PHYSICS B, 2013, 22 (08)
  • [47] Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method
    Mirzaei, Davoud
    Schaback, Robert
    [J]. NUMERICAL ALGORITHMS, 2014, 65 (02) : 275 - 291
  • [48] A complex variable meshless local Petrov-Galerkin method for transient heat conduction problems
    王启防
    戴保东
    栗振锋
    [J]. Chinese Physics B, 2013, 22 (08) : 242 - 248
  • [49] Improved meshless local Petrov-Galerkin method for two-dimensional potential problems
    Zheng Bao-Jing
    Dai Bao-Dong
    [J]. ACTA PHYSICA SINICA, 2010, 59 (08) : 5182 - 5189
  • [50] A Modified Meshless Local Petrov-Galerkin Applied to Electromagnetic Axisymmetric Problems
    Soares, Ramon D.
    Moreira, Fernando J. S.
    Mesquita, Renato C.
    Lowther, David A.
    Lima, Naisses Z.
    [J]. IEEE TRANSACTIONS ON MAGNETICS, 2014, 50 (02) : 513 - 516
12345