A Coupling Electromechanical Cell-Based Smoothed Finite Element Method Based on Micromechanics for Dynamic Characteristics of Piezoelectric Composite Materials

Coupling electromechanical cell-based smoothed finite element method (CSFEM) with the asymptotic homogenization method (AHM) is presented to overcome the overstiffness of FEM. This method could accurately simulate the dynamic responses and electromechanical coupling effects of piezoelectric composit...

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Main Authors: Jianxiao Zheng, Zhishan Duan, Liming Zhou
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2019/4913784
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author Jianxiao Zheng
Zhishan Duan
Liming Zhou
author_facet Jianxiao Zheng
Zhishan Duan
Liming Zhou
author_sort Jianxiao Zheng
collection DOAJ
description Coupling electromechanical cell-based smoothed finite element method (CSFEM) with the asymptotic homogenization method (AHM) is presented to overcome the overstiffness of FEM. This method could accurately simulate the dynamic responses and electromechanical coupling effects of piezoelectric composite material (PCM) structures. Firstly, the efficient performances for active compounds of round cross-section fibers are calculated based on AHM. Secondly, in the CSFEM, electromechanical multi-physic-field FEM is coupled with gradient smoothing technique. CSFEM returns the nearly exact stiffness of continuum structures, which auto discretes the elements in complex areas more readily and thus remarkably reduces the numerical errors. Static and dynamic characteristics of four PCM structures are investigated using CSFEM with AHM. Results are compared with analytical solution and those of FEM, which proves that CSFEM with AHM is more accurate and reliable than the standard FEM when solving problems of complex structures. Additionally, CSFEM could provide results of higher accuracy even using distorted meshes. Therefore, such method is a robust tool for analyzing mechanical properties of PCM structures.
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institution Kabale University
issn 1687-8434
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publishDate 2019-01-01
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spelling doaj-art-8861a8967d4b4cef8d6de683f6f3bc7c2025-02-03T05:54:09ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422019-01-01201910.1155/2019/49137844913784A Coupling Electromechanical Cell-Based Smoothed Finite Element Method Based on Micromechanics for Dynamic Characteristics of Piezoelectric Composite MaterialsJianxiao Zheng0Zhishan Duan1Liming Zhou2Yanta Road No. 13, School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, Shaanxi, ChinaYanta Road No. 13, School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, Shaanxi, ChinaRenmin Street No. 5988, School of Mechanical and Aerospace Engineering, Jilin University, Changchun 130022, Jilin, ChinaCoupling electromechanical cell-based smoothed finite element method (CSFEM) with the asymptotic homogenization method (AHM) is presented to overcome the overstiffness of FEM. This method could accurately simulate the dynamic responses and electromechanical coupling effects of piezoelectric composite material (PCM) structures. Firstly, the efficient performances for active compounds of round cross-section fibers are calculated based on AHM. Secondly, in the CSFEM, electromechanical multi-physic-field FEM is coupled with gradient smoothing technique. CSFEM returns the nearly exact stiffness of continuum structures, which auto discretes the elements in complex areas more readily and thus remarkably reduces the numerical errors. Static and dynamic characteristics of four PCM structures are investigated using CSFEM with AHM. Results are compared with analytical solution and those of FEM, which proves that CSFEM with AHM is more accurate and reliable than the standard FEM when solving problems of complex structures. Additionally, CSFEM could provide results of higher accuracy even using distorted meshes. Therefore, such method is a robust tool for analyzing mechanical properties of PCM structures.http://dx.doi.org/10.1155/2019/4913784
spellingShingle Jianxiao Zheng
Zhishan Duan
Liming Zhou
A Coupling Electromechanical Cell-Based Smoothed Finite Element Method Based on Micromechanics for Dynamic Characteristics of Piezoelectric Composite Materials
Advances in Materials Science and Engineering
title A Coupling Electromechanical Cell-Based Smoothed Finite Element Method Based on Micromechanics for Dynamic Characteristics of Piezoelectric Composite Materials
title_full A Coupling Electromechanical Cell-Based Smoothed Finite Element Method Based on Micromechanics for Dynamic Characteristics of Piezoelectric Composite Materials
title_fullStr A Coupling Electromechanical Cell-Based Smoothed Finite Element Method Based on Micromechanics for Dynamic Characteristics of Piezoelectric Composite Materials
title_full_unstemmed A Coupling Electromechanical Cell-Based Smoothed Finite Element Method Based on Micromechanics for Dynamic Characteristics of Piezoelectric Composite Materials
title_short A Coupling Electromechanical Cell-Based Smoothed Finite Element Method Based on Micromechanics for Dynamic Characteristics of Piezoelectric Composite Materials
title_sort coupling electromechanical cell based smoothed finite element method based on micromechanics for dynamic characteristics of piezoelectric composite materials
url http://dx.doi.org/10.1155/2019/4913784
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