夹层板中的 Lamb 波：群速度不等于能量传输速度

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2024-09-29 DOI:10.1007/s00707-024-04099-3

Sergey V. Kuznetsov

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引用次数: 0

摘要

自 Biot 首次研究非耗散固体介质中的声波以来，人们已经知道体声波的群速度与波能传输速度相吻合。最近对电磁波的这两类速度的研究表明：(i) 这两类速度可能不同；(ii) 超光速群速度可能存在。目前的研究表明，对于在夹层夹紧板中传播的兰姆波，群速度可以超过最大的纵向体波速度，而且，群速度可以无限大，与电磁波类似。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Lamb waves in sandwich plates: group velocity not equal to velocity of energy transport

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Lamb waves in sandwich plates: group velocity not equal to velocity of energy transport

Since Biot’s first work on acoustic waves in non-dissipative solid media, it has been known that the group velocity of bulk acoustic waves coincides with the velocity of wave energy transport. The recent studies on these types of velocities for electromagnetic waves reveal that (i) these can differ, and (ii) the superluminal group velocities may exist. The current research demonstrates that in the case of Lamb waves propagating in sandwich clamped–clamped plates, the group velocity can exceed the largest longitudinal bulk wave velocity, and, moreover, the group velocity can be infinitely large, similarly to electromagnetic waves.

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.