Investigating the Effect of Uniaxial Stress on Guided Wave Propagation in Plates by Wave Finite Element Method

Xu Zhang, Gang Liu, Lei Chen
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Abstract

As an important part of long-range nondestructive testing and structural health monitoring technology, ultrasonic guided wave technology has been used in a wide range of applications in aerospace, petrochemical, transportation, and other fields. This paper extends the previously developed wave finite element method by introducing the prestressing effect in Murnaghan hyperelastic materials and solving the dispersion curves of prestressed waveguide structures. Furthermore, this paper proposes a mode-tracking algorithm based on image sequential alignment that can achieve the multi-mode classification of guided wave dispersion curves and compare the changes in propagation characteristics of different guided wave modes. The results reveal that the change in guided wave phase velocity produced by prestressing is related to the applied stress, frequency-thickness product, and propagation direction and that the susceptibility of different guided wave modes to prestress varies. Finally, the model approach is validated by comparing its predictions to theoretical results from the literature, which match remarkably well. This study is an important guideline for the preferential selection of environmentally insensitive guided wave modes and excitation frequencies, correction of detection signals, and accurate assessment of engineering structure damage information in ultrasonic guided wave technology engineering applications.
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用波有限元法研究单轴应力对导波在板内传播的影响
超声导波技术作为远程无损检测和结构健康监测技术的重要组成部分,在航空航天、石油化工、交通运输等领域有着广泛的应用。本文通过引入Murnaghan超弹性材料中的预应力效应和求解预应力波导结构的色散曲线,对已有的波有限元方法进行了扩展。在此基础上,提出了一种基于图像序列对准的模式跟踪算法,实现了导波色散曲线的多模式分类,并比较了不同导波模式的传播特性变化。结果表明:预应力作用下导波相速度的变化与外加应力、频率-厚度积和传播方向有关,不同导波模式对预应力的敏感性不同;最后,通过将模型方法的预测结果与文献中的理论结果进行比较,验证了模型方法的有效性,结果吻合得非常好。该研究对超声导波技术工程应用中环境不敏感导波模态和激励频率的优选、检测信号的校正以及工程结构损伤信息的准确评估具有重要指导意义。
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