Analytical and finite element modellings of guided waves in multilayered quasicrystal nanoplates with imperfect interfaces and nonlocal effect

IF 3.4 2区物理与天体物理 Q1 ACOUSTICS

Applied Acoustics Pub Date : 2025-07-16 DOI:10.1016/j.apacoust.2025.110946

Xinxin Wang , Jiangong Yu , Bo Zhang , Lahoucine Elmaimouni , Liangjuan Li

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引用次数: 0

Abstract

An analytical integration method for expanding boundary conditions using the Legendre polynomial is developed, which requires that both the control equations and boundary conditions are polynomially expanded to establish a characteristic system. This method can overcome the shortcomings of the available Legendre polynomial method in solving complexity and low efficiency for multilayered structures. Furthermore, a finite element model for Lamb waves in multilayered quasicrystal nanoplates with imperfect interfaces is developed. and then the excitation methods for phonon and phason modes are investigated. The numerical cases reveal that the imperfect interfaces lead to a notable decrease in wave velocities and cut-off frequencies, but increase the amplitude peaks of stresses and displacements. As the frequency increases, the influence of the imperfect interface effect on the nonlocal effect is first enhanced and then suppressed. The research results can provide theoretical references for the guided wave experiments of quasicrystals and the design of quasicrystal composite materials and acoustic devices with high-performance.

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具有非局部效应和非完美界面的多层准晶纳米板中导波的解析和有限元模拟

提出了一种利用Legendre多项式展开边界条件的解析积分方法，该方法要求对控制方程和边界条件进行多项式展开以建立特征系统。该方法克服了现有勒让德多项式方法求解多层结构的复杂性和求解效率低的缺点。此外，建立了具有非完美界面的多层准晶纳米板中Lamb波的有限元模型。然后研究了声子和相子模式的激发方法。数值算例表明，界面不完善导致波速和截止频率显著降低，但应力和位移的幅值峰值增大。随着频率的增加，不完美界面效应对非局部效应的影响先增强后抑制。研究结果可为准晶体导波实验、准晶体复合材料和高性能声学器件的设计提供理论参考。

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

Applied Acoustics 物理-声学

CiteScore

7.40

自引率

11.80%

发文量

618

审稿时长

7.5 months

期刊介绍： Since its launch in 1968, Applied Acoustics has been publishing high quality research papers providing state-of-the-art coverage of research findings for engineers and scientists involved in applications of acoustics in the widest sense. Applied Acoustics looks not only at recent developments in the understanding of acoustics but also at ways of exploiting that understanding. The Journal aims to encourage the exchange of practical experience through publication and in so doing creates a fund of technological information that can be used for solving related problems. The presentation of information in graphical or tabular form is especially encouraged. If a report of a mathematical development is a necessary part of a paper it is important to ensure that it is there only as an integral part of a practical solution to a problem and is supported by data. Applied Acoustics encourages the exchange of practical experience in the following ways: • Complete Papers • Short Technical Notes • Review Articles; and thereby provides a wealth of technological information that can be used to solve related problems. Manuscripts that address all fields of applications of acoustics ranging from medicine and NDT to the environment and buildings are welcome.