Abstract
In this study, a multimaterial topology optimization method using a single variable is proposed by combining the solid isotropic material with penalization method and the reaction-diffusion equation. Unlike ordinary multimaterial optimization, which requires several variables depending on the number of material types, this method intends to represent various materials as one variable. The proposed method combines two special functions in the sensitivity analysis of the objective function to converge the design variable into prespecified density values defined for each of the multimaterials. The composition constraint based on a normal distribution function is also introduced to estimate the distribution of each target density value in a single variable. It enables density exchange between multiple materials by increasing or decreasing the amount of a specific material. The proposed method is applied to structural and electromagnetic problems to verify its effectiveness, and its usefulness is also confirmed from the viewpoint of cost and computation time.
| Original language | English |
|---|---|
| Pages (from-to) | 334-360 |
| Number of pages | 27 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 119 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2019 Aug 3 |
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All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Engineering(all)
- Applied Mathematics
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Multiphase topology optimization with a single variable using the phase-field design method. / Seong, Hong Kyoung; Kim, Cheol Woong; Yoo, Jeonghoon; Lee, Jaewook.
In: International Journal for Numerical Methods in Engineering, Vol. 119, No. 5, 03.08.2019, p. 334-360.Research output: Contribution to journal › Article
TY - JOUR
T1 - Multiphase topology optimization with a single variable using the phase-field design method
AU - Seong, Hong Kyoung
AU - Kim, Cheol Woong
AU - Yoo, Jeonghoon
AU - Lee, Jaewook
PY - 2019/8/3
Y1 - 2019/8/3
N2 - In this study, a multimaterial topology optimization method using a single variable is proposed by combining the solid isotropic material with penalization method and the reaction-diffusion equation. Unlike ordinary multimaterial optimization, which requires several variables depending on the number of material types, this method intends to represent various materials as one variable. The proposed method combines two special functions in the sensitivity analysis of the objective function to converge the design variable into prespecified density values defined for each of the multimaterials. The composition constraint based on a normal distribution function is also introduced to estimate the distribution of each target density value in a single variable. It enables density exchange between multiple materials by increasing or decreasing the amount of a specific material. The proposed method is applied to structural and electromagnetic problems to verify its effectiveness, and its usefulness is also confirmed from the viewpoint of cost and computation time.
AB - In this study, a multimaterial topology optimization method using a single variable is proposed by combining the solid isotropic material with penalization method and the reaction-diffusion equation. Unlike ordinary multimaterial optimization, which requires several variables depending on the number of material types, this method intends to represent various materials as one variable. The proposed method combines two special functions in the sensitivity analysis of the objective function to converge the design variable into prespecified density values defined for each of the multimaterials. The composition constraint based on a normal distribution function is also introduced to estimate the distribution of each target density value in a single variable. It enables density exchange between multiple materials by increasing or decreasing the amount of a specific material. The proposed method is applied to structural and electromagnetic problems to verify its effectiveness, and its usefulness is also confirmed from the viewpoint of cost and computation time.
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UR - http://www.scopus.com/inward/citedby.url?scp=85062959775&partnerID=8YFLogxK
U2 - 10.1002/nme.6052
DO - 10.1002/nme.6052
M3 - Article
AN - SCOPUS:85062959775
VL - 119
SP - 334
EP - 360
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 5
ER -