A novel theoretical and computational framework to quantify dielectric relaxation effects on lamb waves in piezocomposites

IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
Feng Zhu , Zhenghua Qian , Peng Li , Iren Kuznetsova , Zhao Yang
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引用次数: 0

Abstract

Dielectric relaxation is a widespread physical phenomenon that results in the dielectric coefficient taking on complex values, with both the real and imaginary parts changing in response to variations in frequency and temperature. It is evident that dielectric relaxation affects the dynamic performance of piezoelectric acoustic devices. However, research on this topic remains limited. In this paper, a theoretical framework based on the Debye/Cole-Cole models and continuum mechanics is developed to investigate the effect of dielectric relaxation on wave motion in piezocomposites. This framework describes the wave phase velocity changes and attenuation characteristics caused by dielectric relaxation across multiple scales and at varying temperatures. To quantify the impact, an accurate calculation is performed using a novel numerical method called Multidimensional Moduli Ratio Convergence (MMRC), which features a new root-discriminating mechanism and employs a two-dimensional (2D) root-finding approach to ensure efficient and robust solutions. A three-dimensional (3D) complex dispersion curve is obtained, revealing the propagation and attenuation characteristics of the wave. Six different wave mode shapes (Bending, Tensile, Thickness Tensile, and the first, second, and third Thickness Shear) in symmetric and antisymmetric modes are identified, and their attenuation effects are determined. Further investigation reveals the impact of frequency and temperature variations on the phase velocity and attenuation of the wave. This work is crucial for improving the performance of piezoelectric devices, particularly in terms of attenuation and frequency drift control.
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来源期刊
International Journal of Engineering Science
International Journal of Engineering Science 工程技术-工程:综合
CiteScore
11.80
自引率
16.70%
发文量
86
审稿时长
45 days
期刊介绍: The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.
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