Journal
COMPUTER-AIDED DESIGN
Volume 42, Issue 8, Pages 708-719Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.cad.2009.12.001
Keywords
Structural optimization; Shape optimization; Topology optimization; Extend finite element method; Level set method
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Funding
- Hong Kong SAR Research Grants Council [417708]
- HKSAR Innovation and Technology Fund (ITF)
- ASM Assembly Automation Ltd. [UIM/169]
- State Key Laboratory of Subtropical Building Science of South China University of Technology [2008KA04]
- Natural Science Foundation for Youths of South China University of Technology
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In this paper, we implement the extended finite element method (X-FEM) combined with the level set method to solve structural shape and topology optimization problems. Numerical comparisons with the conventional finite element method in a fixed grid show that the X-FEM leads to more accurate results without increasing the mesh density and the degrees of freedom. Furthermore, the mesh in X-FEM is independent of the physical boundary of the design, so there is no need for remeshing during the optimization process. Numerical examples of mean compliance minimization in 2D are studied in regard to efficiency, convergence and accuracy. The results suggest that combining the X-FEM for structural analysis with the level set based boundary representation is a promising approach for continuum structural optimization. Crown Copyright (c) 2009 Published by Elsevier Ltd. All rights reserved.
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