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.
一个新的理论和计算框架量化介电弛豫效应在压电复合材料中的lamb波
介电弛豫是一种普遍存在的物理现象,它导致介电系数呈现复数值,其实部和虚部随频率和温度的变化而变化。显然,介质弛豫会影响压电声器件的动态性能。然而,关于这一主题的研究仍然有限。本文建立了基于Debye/Cole-Cole模型和连续介质力学的理论框架,研究了介电弛豫对压电复合材料波动的影响。该框架描述了介电弛豫在不同温度下跨多个尺度引起的波相速度变化和衰减特性。为了量化影响,使用一种称为多维模比收敛(MMRC)的新颖数值方法进行精确计算,该方法具有新的根判别机制,并采用二维(2D)寻根方法来确保高效和鲁棒的解决方案。得到了三维复色散曲线,揭示了波的传播和衰减特性。确定了对称和反对称模式下的六种不同的波模形状(弯曲、拉伸、厚度拉伸以及第一、第二和第三厚度剪切),并确定了它们的衰减效果。进一步的研究揭示了频率和温度变化对波的相速度和衰减的影响。这项工作对于提高压电器件的性能,特别是在衰减和频率漂移控制方面至关重要。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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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