Effective property of piezoelectric composites containing coated nano-elliptical fibers with interfacial debonding

doi:10.1007/s10483-022-2918-9

Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (11): 1701-1716.doi: https://doi.org/10.1007/s10483-022-2918-9

Effective property of piezoelectric composites containing coated nano-elliptical fibers with interfacial debonding

Yu CHEN¹, Junhong GUO^1,2

1. Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, China;
2. School of Aeronautics, Inner Mongolia University of Technology, Hohhot 010051, China

收稿日期:2022-05-08 修回日期:2022-08-26 发布日期:2022-10-29
通讯作者: Junhong GUO, E-mail: jhguo@imut.edu.cn
基金资助:
The National Natural Science Foundation of China (Nos. 12072166 and 11862021), the Program for Science and Technology of Inner Mongolia Autonomous Region of China (No. 2021GG0254), the Natural Science Foundation of Inner Mongolia Autonomous Region of China (No. 2020MS01006), and the Independent Research Key Program of Center for Applied Mathematics of Inner Mongolia Autonomous Region of China (No. ZZYJZD2022002)

Effective property of piezoelectric composites containing coated nano-elliptical fibers with interfacial debonding

Yu CHEN¹, Junhong GUO^1,2

1. Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, China;
2. School of Aeronautics, Inner Mongolia University of Technology, Hohhot 010051, China

Received:2022-05-08 Revised:2022-08-26 Published:2022-10-29
Contact: Junhong GUO, E-mail: jhguo@imut.edu.cn
Supported by:
The National Natural Science Foundation of China (Nos. 12072166 and 11862021), the Program for Science and Technology of Inner Mongolia Autonomous Region of China (No. 2021GG0254), the Natural Science Foundation of Inner Mongolia Autonomous Region of China (No. 2020MS01006), and the Independent Research Key Program of Center for Applied Mathematics of Inner Mongolia Autonomous Region of China (No. ZZYJZD2022002)

摘要/Abstract

摘要： Based on both the spring layer interface model and the Gurtin-Murdoch surface/interface model, the anti-plane shear problem is studied for piezoelectric composites containing coated nano-elliptical fibers with imperfect interfaces. By using the complex function method and the technique of conformal mapping, the exact solutions of the electroelastic fields in fiber, coating, and matrix of piezoelectric nanocomposites are derived under far-field anti-plane mechanical and in-plane electrical loads. Furthermore, the generalized self-consistent method is used to accurately predict the effective electroelastic moduli of the piezoelectric nanocomposites containing coated nano-elliptical fibers with imperfect interfaces. Numerical examples are illustrated to show the effects of the material constants of the imperfect interface layers, the aspect ratio of the fiber section, and the fiber volume fraction on the effective electroelastic moduli of the piezoelectric nanocomposites. The results indicate that the effective electroelastic moduli of the piezoelectric nanocomposites can be significantly reduced by the interfacial debonding, but it can be improved by the surface/interface stresses at the small scale, which provides important theoretical reference for the design and optimization of piezoelectric nanodevices and nanostructures.

关键词: piezoelectric composite, coated, nano-elliptical fiber, effective property, exact solution

Abstract: Based on both the spring layer interface model and the Gurtin-Murdoch surface/interface model, the anti-plane shear problem is studied for piezoelectric composites containing coated nano-elliptical fibers with imperfect interfaces. By using the complex function method and the technique of conformal mapping, the exact solutions of the electroelastic fields in fiber, coating, and matrix of piezoelectric nanocomposites are derived under far-field anti-plane mechanical and in-plane electrical loads. Furthermore, the generalized self-consistent method is used to accurately predict the effective electroelastic moduli of the piezoelectric nanocomposites containing coated nano-elliptical fibers with imperfect interfaces. Numerical examples are illustrated to show the effects of the material constants of the imperfect interface layers, the aspect ratio of the fiber section, and the fiber volume fraction on the effective electroelastic moduli of the piezoelectric nanocomposites. The results indicate that the effective electroelastic moduli of the piezoelectric nanocomposites can be significantly reduced by the interfacial debonding, but it can be improved by the surface/interface stresses at the small scale, which provides important theoretical reference for the design and optimization of piezoelectric nanodevices and nanostructures.

Key words: piezoelectric composite, coated, nano-elliptical fiber, effective property, exact solution

中图分类号:

Yu CHEN, Junhong GUO. Effective property of piezoelectric composites containing coated nano-elliptical fibers with interfacial debonding[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(11): 1701-1716.

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Effective property of piezoelectric composites containing coated nano-elliptical fibers with interfacial debonding

Effective property of piezoelectric composites containing coated nano-elliptical fibers with interfacial debonding

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