Mode theory as a framework for the investigation of the generation of a Stoneley wave at a liquid–solid interface

Briers, R.; Leroy, Oswald; Shkerdin, G. N.; Gulyaev, Yu. V.

doi:10.1121/1.408709

Cited by 14 publications

(21 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This dispute challenged the further development of the RMT in order to clarify the problem. Briers et al [10] found numerical results that were quite astonishing. They found that, indeed, all angles of incidence produce ScholteStoneley waves, but the largest amplitude corresponded to an angle of approximately 87…”

Section: A Half Spacesmentioning

confidence: 95%

“…3 and is based on complicated scattering effects in the region in which the three involved media are in contact with each other. The first opinion on the mechanism of Scholte-Stoneley wave generation by means of a liquid wedge is described in references 1 and 2 in [10], and states that, according to a formula similar to the classical Snell's law, Scholte-Stoneley waves mainly would be generated at one particular angle that resulted from that formula. Experiments on an alcohol-water wedge (incidence from the alcohol side) confirmed indeed that Scholte-Stoneley waves were generated at that angle.…”

Section: A Half Spacesmentioning

confidence: 99%

“…Furthermore, in practical situations one often is faced with incident Gaussian beams instead of incident plane waves or plane waves diffracted by a narrow slit (as was the case in [10]). Therefore, in [11] the RMT decomposition of a Gaussian beam is presented.…”

Section: A Half Spacesmentioning

confidence: 99%

“…• as described in [10]. Furthermore, in practical situations one often is faced with incident Gaussian beams instead of incident plane waves or plane waves diffracted by a narrow slit (as was the case in [10]).…”

Section: A Half Spacesmentioning

confidence: 99%

See 3 more Smart Citations

The radiation mode theory in ultrasonics

Declercq

Briers²,

Leroy

et al. 2005

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

Self Cite

View full text Add to dashboard Cite

Abstract-This paper describes the history and the state of the art in radiation mode theory (RMT) in ultrasonics. The RMT originates from electromagnetism in which it has proved to be very efficient in the field of wave guides and discontinuities. In ultrasonics, the RMT made its entrance only a decade ago and has already proved to be very efficient in describing the interaction of sound with discontinuities such as a step on a plate, a liquid wedge, the extremity of a plate and much more. It is likely that the development of the RMT for two-dimensional (2-D) isotropic media has come almost to an end. This paper lists the results obtained so far. Further extensions to more complicated media are to be expected in the coming decade.

show abstract

Section: A Half Spacesmentioning

confidence: 95%

Section: A Half Spacesmentioning

confidence: 99%

Section: A Half Spacesmentioning

confidence: 99%

Section: A Half Spacesmentioning

confidence: 99%

See 2 more Smart Citations

The radiation mode theory in ultrasonics

Declercq

Briers²,

Leroy

et al. 2005

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

Self Cite

View full text Add to dashboard Cite

show abstract

“…Note that the expansion coefficients do not depend on the coordinates (F). The integration is taken over the continuous spectrum of radiation modes, taking into account all orthogonal types of radiation modes ( the sum over m) [3]. C y is the displacement field for radiation modes of the type m in structure i (i=1,2) while i i : is the displacement field for a Stoneley eigenmode in structure i.…”

Section: Generation Of a Stoneley Wave Using A Liquid-wedgementioning

confidence: 99%

An acoustic mode method for the description of scattering and mode conversion processes

Briers¹,

Leroy²

1994

Proceedings of IEEE Ultrasonics Symposium ULTSYM-94

View full text Add to dashboard Cite

We outline the hndamentals of an acoustic mode method, suitable to describe scattering and mode conversion phenomena arising in configurations with abrupt or gradual transitions in several spatial directions. The method is applied to three specific problems. First, the validity of a liquid-wedge for the generation of a Stoneley wave (also called S c hol t e-S toneley wave) at a liquid-solid interface is discussed. Secondly, the scattering and mode conversion of a Stoneley wave at the extremity of a fluid loaded plate is analysed. Finally, the excitation of a Stoneley wave by means of the conversion of a bulk wave incident at the edge of a fluid loaded plate is considered. GENERATION OF A STONELEY WAVE USING A LIQUID-WEDGEThe Stoneley wave plays an important role in the NDT of solid surfaces over large distances since this wave can propagate undamped along a liquid-solid interface. It is well known that there is no way of exciting a Stoneley wave at a liquidsolid interface by a volume wave incident from the liquid. The geometrical configuration for the liquid-wedge is sketched in Figure 1. Two adjacent liquids abut a single solid sample. The configuration can be considered as existing of two different liquid-solid structures. Structure 1 is formed by liquid 1 and the part of the solid beneath the division plane while structure 2 is formed by liquid 2 and the part of the solid above the division plane. interface t z division plane s -_ -0

show abstract

Radiation Mode Model for Multilayered Structures

Vandeputte

Shkerdin

Leroy

IUTAM Symposium on Mechanical Waves for Composite Structures Characterization

Self Cite

View full text Add to dashboard Cite

Interaction of bounded acoustic beams with multilayered structures has been investigated extensively by several researchers in the last half of this century. It was W. T. Thompson 9 who treated the problem the first time and introduced the "transfer matrix". This matrix describes the relation between the displacements and stresses at the top of a layer and those at the bottom of the layer. It was the initial impetus for further In this paper, a multilayered solid embedded in a liquid is considered. The aim of this paper is to present the modelling of the interaction of bounded acoustic beams with a multilayer by means of the Mode Method 1,2,3,4,5 .The study of the reflected profile of an incident Gaussian beam enables us to characterize material parameters or to estimate the elastic properties of the reflector. It is known 8,13 that computational difficulties occur for high frequencies, thick layers and large angles of incidence. We dealt with this problem in our model by restricting the spectrum of radiation modes to the most substantial ones.In the first section, the general decomposition formula in radiation modes for a multilayered structure is derived. In the second section, an illustrative application is given. Determination of the residual stress in a plastically deformed plate is developed. In a first subsection, the modelling of the plastically deformed plate is worked out. A parabolic distributed residual stress is chosen in subsection two. In the final subsection, computations are done. It is shown that the residual stress can be measured by means of the reflected amplitude and phase profile of a Gaussian beam incident at a Lamb angle. research. 6-8-10-13 1. Construction of the orthogonal set of radiation modes for a multilayered structure.Consider a multilayered structure of total thickness d embedded in an elastic liquid. We assume n viscoelastic solid layers with infinite extent in the z-direction. Layer j has thickness dj and lower interface at y j _ 1 and upper interface at y j , see fig. 1.

show abstract

Mode theory as a framework for the investigation of the generation of a Stoneley wave at a liquid–solid interface

Cited by 14 publications

References 0 publications

The radiation mode theory in ultrasonics

The radiation mode theory in ultrasonics

An acoustic mode method for the description of scattering and mode conversion processes

Radiation Mode Model for Multilayered Structures

Contact Info

Product

Resources

About