A MESHLESS LOCAL PETROV-GALERKIN METHOD FOR GEOMETRICALLY NONLINEAR PROBLEMS |
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| Authors: | Xiong Yuanbo Long Shuyao Hu De'an Li Guangyao |
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| Institution: | Xiong Yuanbo Long Shuyao Hu De'an Li Guangyao Department of Engineering Mechanics,Hunan University,Changsha 410082,China Key Laboratory of Advanced Technology for Vehicle Body Design & Manufacture,Ministry of Education of China,Hunan University,Changsha 410082,China |
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| Abstract: | 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. |
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| Keywords: | local Petrov-Galerkin method moving least square approximation total Lagranian method geometrically nonlinear problems |
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