Topological optimization algorithm for mechanical-electrical coupling of periodic composite materials

In this paper, a topology optimization algorithm for the mechanical-electrical coupling problem of periodic composite materials is studied. Firstly, the homogenization problem of the mechanical-electrical coupling topology optimization problem of periodic composite materials is established by the mu...

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Main Authors: Ziqiang Wang, Chunyu Cen, Junying Cao
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2023136?viewType=HTML
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author Ziqiang Wang
Chunyu Cen
Junying Cao
author_facet Ziqiang Wang
Chunyu Cen
Junying Cao
author_sort Ziqiang Wang
collection DOAJ
description In this paper, a topology optimization algorithm for the mechanical-electrical coupling problem of periodic composite materials is studied. Firstly, the homogenization problem of the mechanical-electrical coupling topology optimization problem of periodic composite materials is established by the multi-scale asymptotic expansion method. Secondly, the topology optimization algorithm for the mechanical-electrical coupling problem of periodic composite materials is constructed by finite element method, solid isotropic material with penalisation method and homogenization method. Finally, numerical results show that the proposed algorithm is effective to calculate the optimal structure of the periodic composite cantilever beam under the influence of the mechanical-electrical coupling.
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spelling doaj.art-583dc2721f3943a282291504b5c928e82023-05-08T01:23:32ZengAIMS PressElectronic Research Archive2688-15942023-03-013152689270710.3934/era.2023136Topological optimization algorithm for mechanical-electrical coupling of periodic composite materialsZiqiang Wang0Chunyu Cen 1Junying Cao2School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaIn this paper, a topology optimization algorithm for the mechanical-electrical coupling problem of periodic composite materials is studied. Firstly, the homogenization problem of the mechanical-electrical coupling topology optimization problem of periodic composite materials is established by the multi-scale asymptotic expansion method. Secondly, the topology optimization algorithm for the mechanical-electrical coupling problem of periodic composite materials is constructed by finite element method, solid isotropic material with penalisation method and homogenization method. Finally, numerical results show that the proposed algorithm is effective to calculate the optimal structure of the periodic composite cantilever beam under the influence of the mechanical-electrical coupling.https://www.aimspress.com/article/doi/10.3934/era.2023136?viewType=HTMLmechanical-electrical couplingcomposite materialssolid isotropic material methodhomogenization method
spellingShingle Ziqiang Wang
Chunyu Cen
Junying Cao
Topological optimization algorithm for mechanical-electrical coupling of periodic composite materials
Electronic Research Archive
mechanical-electrical coupling
composite materials
solid isotropic material method
homogenization method
title Topological optimization algorithm for mechanical-electrical coupling of periodic composite materials
title_full Topological optimization algorithm for mechanical-electrical coupling of periodic composite materials
title_fullStr Topological optimization algorithm for mechanical-electrical coupling of periodic composite materials
title_full_unstemmed Topological optimization algorithm for mechanical-electrical coupling of periodic composite materials
title_short Topological optimization algorithm for mechanical-electrical coupling of periodic composite materials
title_sort topological optimization algorithm for mechanical electrical coupling of periodic composite materials
topic mechanical-electrical coupling
composite materials
solid isotropic material method
homogenization method
url https://www.aimspress.com/article/doi/10.3934/era.2023136?viewType=HTML
work_keys_str_mv AT ziqiangwang topologicaloptimizationalgorithmformechanicalelectricalcouplingofperiodiccompositematerials
AT chunyucen topologicaloptimizationalgorithmformechanicalelectricalcouplingofperiodiccompositematerials
AT junyingcao topologicaloptimizationalgorithmformechanicalelectricalcouplingofperiodiccompositematerials