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author:

Xiong, Yuan-Bo (Xiong, Yuan-Bo.) [1] | Cui, Hong-Xue (Cui, Hong-Xue.) [2] | Long, Shu-Yao (Long, Shu-Yao.) [3]

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Abstract:

In the modeling and simulation of the micro-electronic mechanical systems (MEMS) devices, the large deformation or the geometrical nonlinearity must be considered. Due to the issue of mesh distortion, the finite element method is ineffective for this large deformation analysis. However the meshless method shows its potential in this area because no mesh is need. In all the existent methods, the local Petrov-Galerkin (MLPG) method is an ideal mesh free methods. In this paper, a local meshless formulation is developed for large deformation analysis. The local radial point interpolation (RPIM) approximation is employed to construct the shape functions based on the arbitrarily distributed field nodes and the Heaviside weight function. The discrete system equation is obtained using the weighted local weak form and based on the total Lagrangian (TL) approach, which refers all variables to the initial configuration. The Newton-Raphson iteration technique is used to get the final results. Examples show the local Petrov-Galerkin method is effective for large deformation analysis.

Keyword:

Deformation Galerkin methods Iterative methods MEMS Mesh generation

Community:

  • [ 1 ] [Xiong, Yuan-Bo]College of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, China
  • [ 2 ] [Xiong, Yuan-Bo]College of Mechanics and Aerospace, Hunan University, Changsha 410082, China
  • [ 3 ] [Cui, Hong-Xue]College of Mechanics and Aerospace, Hunan University, Changsha 410082, China
  • [ 4 ] [Long, Shu-Yao]College of Mechanics and Aerospace, Hunan University, Changsha 410082, China

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Source :

Chinese Journal of Computational Mechanics

ISSN: 1007-4708

CN: 21-1373/O3

Year: 2009

Issue: 3

Volume: 26

Page: 353-357

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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