TY - JOUR
T1 - Topology optimization
T2 - A new microstructure-based design domain method
AU - Gea, Hae Chang
N1 - Funding Information:
Acknowledgements-The author would like to thank Dr Weng for his discussionsa nd suggestionsin the micro-structurem odel. The support of this work from the National ScienceF oundation@ MI-9500170)is gratefully acknowledged.
PY - 1996/12
Y1 - 1996/12
N2 - Topology optimization is the most complicated problem in structural optimization. One common approach is to utilize the concept of the design domain, such as the homogenization method and the density function approach. In this paper, a new microstructure-based design domain method is proposed. This new method gives simple closed-form expressions for effective Young's modulus and effective shear modulus in terms of phase properties and volume fractions. Using these simple relations, topology optimization problems can be formulated and solved using mathematical programming algorithms. Results of some design examples obtained from the new method are presented.
AB - Topology optimization is the most complicated problem in structural optimization. One common approach is to utilize the concept of the design domain, such as the homogenization method and the density function approach. In this paper, a new microstructure-based design domain method is proposed. This new method gives simple closed-form expressions for effective Young's modulus and effective shear modulus in terms of phase properties and volume fractions. Using these simple relations, topology optimization problems can be formulated and solved using mathematical programming algorithms. Results of some design examples obtained from the new method are presented.
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U2 - 10.1016/0045-7949(96)00092-2
DO - 10.1016/0045-7949(96)00092-2
M3 - Article
AN - SCOPUS:0030311681
SN - 0045-7949
VL - 61
SP - 781
EP - 788
JO - Computers and Structures
JF - Computers and Structures
IS - 5
ER -