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Thermoelastic Structural Topology Optimization Based on Moving Morphable Components Framework

Jun Yan1,3, Qi Xu1, Zhirui Fan1, Zunyi Duan2,*, Hongze Du1, Dongling Geng1
1 Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, International Research Center for Computational Mechanics, Dalian University of Technology, Dalian, 116024, China
2 Institute of Structural Health Monitoring and Control, School of Mechanics, Civil Engineering & Architecture, Northwestern Polytechnical University, Xi’an, 710072, China
3 Ningbo Research Institute of Dalian University of Technology, Ningbo, 315016, China
* Corresponding Author: Zunyi Duan. Email:
(This article belongs to this Special Issue: Novel Methods of Topology Optimization and Engineering Applications)

Computer Modeling in Engineering & Sciences 2021, 128(3), 1179-1196.

Received 13 April 2021; Accepted 21 May 2021; Issue published 11 August 2021


This study investigates structural topology optimization of thermoelastic structures considering two kinds of objectives of minimum structural compliance and elastic strain energy with a specified available volume constraint. To explicitly express the configuration evolution in the structural topology optimization under combination of mechanical and thermal load conditions, the moving morphable components (MMC) framework is adopted. Based on the characteristics of the MMC framework, the number of design variables can be reduced substantially. Corresponding optimization formulation in the MMC topology optimization framework and numerical solution procedures are developed for several numerical examples. Different optimization results are obtained with structural compliance and elastic strain energy as objectives, respectively, for thermoelastic problems. The effectiveness of the proposed optimization formulation is validated by the numerical examples. It is revealed that for the optimization design of the thermoelastic structural strength, the objective function with the minimum structural strain energy can achieve a better performance than that from structural compliance design.


Thermoelastic structure; topology optimization; moving morphable components; minimum structural compliance; minimum strain energy

Cite This Article

Yan, J., Xu, Q., Fan, Z., Duan, Z., Du, H. et al. (2021). Thermoelastic Structural Topology Optimization Based on Moving Morphable Components Framework. CMES-Computer Modeling in Engineering & Sciences, 128(3), 1179–1196.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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