TY - JOUR
T1 - A study on X-FEM in continuum structural optimization using a level set model
AU - Wei, Peng
AU - Wang, Michael Yu
AU - Xing, Xianghua
N1 - Funding Information:
Supported by Hong Kong SAR Research Grants Council under grant No. 417708, HKSAR Innovation and Technology Fund (ITF) and ASM Assembly Automation Ltd. under grant No. UIM/169, the State Key Laboratory of Subtropical Building Science of South China University of Technology under grant No. 2008KA04, and Natural Science Foundation for Youths of South China University of Technology.
Funding Information:
The research work is supported in part by Hong Kong SAR Research Grants Council under grant No. 417708, HKSAR Innovation and Technology Fund (ITF) and ASM Assembly Automation Ltd. under grant No. UIM/169, the State Key Laboratory of Subtropical Building Science of South China University of Technology under grant No. 2008KA04, and Natural Science Foundation for Youths of South China University of Technology.
PY - 2010/8
Y1 - 2010/8
N2 - 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
AB - 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
KW - Extend finite element method
KW - Level set method
KW - Shape optimization
KW - Structural optimization
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=77953963129&partnerID=8YFLogxK
U2 - 10.1016/j.cad.2009.12.001
DO - 10.1016/j.cad.2009.12.001
M3 - Article
AN - SCOPUS:77953963129
SN - 0010-4485
VL - 42
SP - 708
EP - 719
JO - CAD Computer Aided Design
JF - CAD Computer Aided Design
IS - 8
ER -