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ID 35703
file
creator
Yoon, Gil Ho
Jeong, Seung Hyun
Kobashi, Makoto
subject
Topology optimization
Stress constraints
Heat conduction
Thermal expansion
Sensitivity analysis
and resolved by introducing a multi-stress constraint corresponding to several thermal con
NDC
Technology. Engineering
abstract
In this research, a topology optimization with constraints of structural strength and thermal conductivity is proposed. The coupled static linear elastic and heat conduction equations of state are considered. The optimization problem was formulated; viz., minimizing the volume under the constraints of p-norm stress and thermal compliance introducing the qp-relaxation method to avoid the singularity of stress-constraint topology optimization. The proposed optimization methodology is implemented employing the commonly used solid isotropic material with penalization (SIMP) method of topology optimization. The density function is updated using sequential linear programming (SLP) in the early stage of optimization. In the latter stage of optimization, the phase field method is employed to update the density function and obtain clear optimal shapes without intermediate densities. Numerical examples are provided to illustrate the validity and utility of the proposed methodology. Through these numerical studies, the dependency of the optima to the target temperature range due to the thermal expansion is confirmed. The issue of stress concentration due to the thermal expansion problem in the use of the structure in a wide temperature range is also clarified, and resolved by introducing a multi-stress constraint corresponding to several thermal conditions.
journal title
Computer Methods in Applied Mechanics and Engineering
volume
Volume 276
start page
341
end page
361
date of issued
2014-07-01
publisher
Elsevier
issn
0045-7825
ncid
publisher doi
language
eng
nii type
Journal Article
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
author
rights
Copyright (c) 2014 Elsevier B.V. All rights reserved.
relation url
department
Graduate School of Engineering