Guided acoustic waves propagating at surfaces, interfaces and edges

Mayer, Andreas; Krylov, Victor V.; Lomonosov, Alexey M.

doi:10.1109/ultsym.2011.0508

Cited by 7 publications

(6 citation statements)

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“…Note that the number of propagating modes of wedge elastic waves depends on the wedge angle θ: the smaller the wedge angle θ, the larger the number of propagating modes n. This number can be roughly estimated from the condition c < cR, where c is defined by equation (4) and cR is Rayleigh wave velocity in the wedge material. The above-mentioned geometrical acoustics theory of wedge elastic waves can be generalised to consider localised modes in truncated wedges [6], quadratically-shaped elastic wedges [8], wedges immersed in liquids [9], cylindrical and conical wedge-like structures (curved wedges) [10,11], wedges of general power-law shape [12], wedges made of anisotropic materials [13], and wedges accounting for material nonlinearity [14][15][16].…”

Section: Localised Waves In Ideal Wedges Of Linear Profilementioning

confidence: 99%

Overview of localised flexural waves in wedges of power-law profile and comments on their relationship with the acoustic black hole effect

Krylov¹

2020

Journal of Sound and Vibration

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In the present paper, the relationship between localised flexural waves in wedges of powerlaw profile and flexural wave reflection from acoustic black holes is examined. The geometrical acoustics theory of localised flexural waves in wedges of power-law profile is briefly discussed. It is noted that, for wedge profiles with power-law exponents equal or larger than two, the velocities of all localised modes take zero values, unless there is a wedge truncation. It is demonstrated that this effect of zero velocities of localised flexural waves in ideal wedges is closely related to the phenomenon of zero reflection of flexural waves from ideally sharp one-dimensional acoustic black holes. A possible influence of localised wedge modes on flexural wave reflection from one-dimensional acoustic black holes having rough edges is discussed. With regard to two-dimensional acoustic black holes, the role of localised flexural waves propagating along wedge edges that are curved in their middle plane is considered. Such waves can propagate along edges of inner holes in two-dimensional acoustic black holes formed by circular indentations in plates of constant thickness. A possible impact of such localised waves on the processes of scattering of flexural waves by edge imperfections of inner holes in two-dimensional acoustic black holes is discussed, including their influence on the efficiency of two-dimensional acoustic black holes as vibration dampers.

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Section: Localised Waves In Ideal Wedges Of Linear Profilementioning

confidence: 99%

Overview of localised flexural waves in wedges of power-law profile and comments on their relationship with the acoustic black hole effect

Krylov¹

2020

Journal of Sound and Vibration

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“…2(b) and (c); throughout this article, the first-59 order wedge mode will be of primary interest, but higher 60 order modes will be discussed where relevant. Wedge modes 61 were discovered by Lagasse [1] and have since been studied 62 [4]. Included in red is an illustration of the transducer motion required for excitation and detection of the flexural edge mode.…”

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“…in the literature theoretically and experimentally for a few decades [2]- [4]. The desirable characteristics of such modes for NDE are noted in the literature [4], [5], and the waves are guided along the length of the feature with the energy localized to the apex of the wedge; this makes the modes well suited for screening wedge tips in long features. Despite the numerous positive attributes of the edge wave, to date, there has been little reported use in industrial applications.…”

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confidence: 99%

“…In an ideal wedge cross section (infinite length, nontruncated, symmetric, and straight-edged), the edge modes are nondispersive with the geometry described by a single nondimensional parameter, the wedge angle θ , as shown in Fig. 2(a) [4].…”

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“…However, in all real components, the wedge features will be nonideal as they will be of finite length and may be built into a larger structure, and their tip will be truncated to some extent. In nonideal wedge features, the finite geometry makes the edge mode dispersive at the low frequencies that are desirable for practical application; though analytical models describing the influence of some of the irregular wedge-like structures have been proposed [4], [10], it may be difficult to apply them broadly to practical applications. Semianalytical finite-element (SAFE) analysis will be used throughout this study to characterize the ultrasonic behavior in the wedge-like structures.…”

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A Guided Wave Inspection Technique for Wedge Features

Corcoran

Leinov

Jeketo

et al. 2020

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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Symmetry effects on elastic wedge waves at anisotropic edges

Pupyrev

Lomonosov

Hess

et al. 2014

Journal of Applied Physics

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A laser-operated, angle-tunable transducer was employed to excite selectively elastic waves guided along the apex of a solid wedge. The propagation of wedge waves at anisotropic monocrystalline silicon edges with different symmetry properties was studied by optical detection. The reduced symmetry in crystals, as compared to isotropic media, causes a number of new features, such as the existence of supersonic leaky wedge waves, tilted spatial pulse profiles, and other peculiarities of their localization. Experimental and theoretical results are presented for three different types of symmetry configurations: the wedge symmetric about its midplane, the wedge symmetric about the plane normal to its apex line, and the wedge symmetric about one of its faces. The experiments include accurate measurements of the phase velocity and the wave field distribution, providing information on localization and coupling of wedge waves with other waves. Theoretically, the wedge waves were treated by the Laguerre function method, extended to modes that are not localized at the tip of the wedge. This approach allowed an accurate description of the observed localized and leaky wedge waves in anisotropic wedges.

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Guided acoustic waves propagating at surfaces, interfaces and edges

Cited by 7 publications

References 57 publications

Overview of localised flexural waves in wedges of power-law profile and comments on their relationship with the acoustic black hole effect

Overview of localised flexural waves in wedges of power-law profile and comments on their relationship with the acoustic black hole effect

A Guided Wave Inspection Technique for Wedge Features

Symmetry effects on elastic wedge waves at anisotropic edges

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