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A Topology Optimization of Moderately Thick Plates Based on the Meshless Numerical Method

S.L. Li1,2, S.Y. Long1, G.Y. Li1
State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha, 410082, China
Corresponding author. E-mail:

Computer Modeling in Engineering & Sciences 2010, 60(1), 73-94.


A new implementation of topology optimization for the plate described by the Reissner-Mindlin theory based on the meshless natural neighbour Petrov-Galerkin method (NNPG) is proposed in this work. The objective is to produce the stiffest plate for a given volume by redistributing the material throughout the plate. We try to couple the advantages of the meshless numerical method with the topology optimization of moderately thick plate. The numerical approach presented here is based on the solid isotropic material with penalization (SIMP) formulation of the topology optimization problem. The natural neighbour interpolation shape function is employed to discretize both displacement and bulk density fields. Several examples are provided to illustrate the validity and effectiveness of the proposed method.


topology optimization, meshless method, Reissner-Mindlin plate, the natural neighbour interpolation, SIMP

Cite This Article

Li, S., Long, S., Li, G. (2010). A Topology Optimization of Moderately Thick Plates Based on the Meshless Numerical Method. CMES-Computer Modeling in Engineering & Sciences, 60(1), 73–94.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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