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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.
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Chinese Journal of Computational Mechanics
ISSN: 1007-4708
CN: 21-1373/O3
Year: 2009
Issue: 3
Volume: 26
Page: 353-357
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SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 1
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