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

Ziqiang Wang; Chunyu Cen; Junying Cao; Ziqiang Wang; Chunyu Cen; Junying Cao

doi:10.3934/era.2023136

Electronic Research Archive

2023, Volume 31, Issue 5: 2689-2707. doi: 10.3934/era.2023136

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

School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China

Received: 31 December 2022 Revised: 24 February 2023 Accepted: 06 March 2023 Published: 10 March 2023

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.
- mechanical-electrical coupling,
- composite materials,
- solid isotropic material method,
- homogenization method
Citation: Ziqiang Wang, Chunyu Cen, Junying Cao. Topological optimization algorithm for mechanical-electrical coupling of periodic composite materials[J]. Electronic Research Archive, 2023, 31(5): 2689-2707. doi: 10.3934/era.2023136

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Abstract

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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