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Direct FE² Method For Concurrent Multilevel Modeling of Piezoelectric Structures

Leilei Chen^2,3, Haozhi Li^3,4, Lu Meng⁵, Pan Chen³, Pei Li^1,*

1 International Machinery Center, Department of Mechanical Engineering, Xi'an Jiaotong University, Shaanxi, 710049, China
2 School of Architectural Engineering, Huanghuai University, Zhumadian, 463000, China
3 Henan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian, 463000, China
4 College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, China
5 College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan, Shanxi, 030024, China

* Corresponding Author: Pei Li. Email:

The International Conference on Computational & Experimental Engineering and Sciences 2023, 26(4), 1-2. https://doi.org/10.32604/icces.2023.010584

Abstract

In this paper, a Direct FE² method is proposed to simulate the electromechanical coupling problem of inhomogeneous materials. The theoretical foundation for the proposed method, downscaling and upscaling principles, is the same as that of the FE² method. The two-level simulation in the Direct FE² method may be addressed in an integrative framework where macroscopic and microscopic degrees of freedom (DOFs) are related by multipoint constraints (MPCs) [1]. This critical characteristic permits simple implementation in commercial FE software, eliminating the necessity for recurrent data transfer between two scales [2-4]. The capabilities of Direct FE² are validated using four numerical examples, including two benchmark examples, a piezoelectric arc honeycomb example and a piezoelectric composite structure example.

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Keywords

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