Reciprocity-based closed-form solutions to guided waves in multilayered structures subjected to time-harmonic excitations

互惠(文化人类学) 导波测试 兰姆波 超声波传感器 声学 振幅 谐波 有限元法 波数 无损检测 水准点(测量) 波传播 机械 物理 计算机科学 结构工程 光学 工程类 地质学 心理学 社会心理学 大地测量学 量子力学
作者
Ductho Le,Lawrence H. Le,Hoai Thu Nguyen,Emmanuel Lance Christopher Vi Medillo Plan,H.P. Tran,Dinh Duc Nguyen,Hoc Phan
出处
期刊:European Journal of Mechanics A-solids [Elsevier]
卷期号:102: 105083-105083
标识
DOI:10.1016/j.euromechsol.2023.105083
摘要

Ultrasonic guided waves provide an efficient tool for nondestructive evaluation and characterization of multilayered structures, e.g., of adhesively bonded joint in aerospace industry. In this article we investigate the propagation of guided waves in fully bonded multilayered plates excited by time-harmonic sources. By using the transfer matrix method, we propose explicit expressions of the free guided waves that depend on only one unknown constant representing amplitude. From these expressions, theoretical predictions of guided wave fields arising from a time-harmonic source are derived by using the reciprocity relations in elastodynamics. These very first closed-form solutions offer several distinct advantages, including efficient solution of inverse problems for materials characterization, direct calculation of guided waves at every point with a low computational cost and a benchmark to verify and improve numerical analysis of guided waves in multilayered structures. The obtained results are illustrated by computing guided wave motions in the bond region of an adhesively bonded lap joint, commonly used in automotive and aeronautical industries. The dispersion curves produced here are significant improvement upon those available in literature, as they are superimposed with the amplitude spectra values, enabling optimal selection of modes and frequencies for ultrasonic inspection. The analytical predictions of guided wave amplitudes in a three-layer adhesive joint model are numerically verified through finite element simulations, showing excellent agreement with the lowest guided wave modes.
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