Open Access

ARTICLE

A DFE²-SPCE Method for Multiscale Parametric Analysis of Heterogenous Piezoelectric Materials and Structures

Qingxiang Pei^1,2, Fan Li^2,3, Ziheng Fei⁴, Haojie Lian^2,3, Xiaohui Yuan^1,2,*

1 College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, China
2 Henan International Joint Laboratory of Structural Mechanics and Computational Simulation, College of Architecture and Civil Engineering, Huanghuai University, Zhumadian, 463000, China
3 Key Laboratory of In-Situ Property-Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, 030024, China
4 Department of Architectural Engineering, Hanyang University, Seoul, 04763, Republic of Korea

* Corresponding Author: Xiaohui Yuan. Email:

Computers, Materials & Continua 2025, 83(1), 79-96. https://doi.org/10.32604/cmc.2025.061741

Received 02 December 2024; Accepted 03 February 2025; Issue published 26 March 2025

Abstract

This paper employs the Direct Finite Element Squared (DFE²) method to develop Sparse Polynomial Chaos Expansions (SPCE) models for analyzing the electromechanical properties of multiscale piezoelectric structures. By incorporating variations in piezoelectric and elastic constants, the DFE² method is utilized to simulate the statistical characteristics—such as expected values and standard deviations—of electromechanical properties, including Mises stress, maximum in-plane principal strain, electric potential gradient, and electric potential, under varying parameters. This approach achieves a balance between computational efficiency and accuracy. Different SPCE models are used to investigate the influence of piezoelectric and elastic constants on multiscale piezoelectric materials. Additionally, the multiscale parameterization study investigates how microscale material properties affect the macroscopic response of these structures and materials.

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Keywords

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