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Journal ArticleDOI

Ultrasonic scattering from imperfect interfaces: A quasi-static model

Jai-Man Baik, +1 more
- 01 Dec 1984 - 
- Vol. 4, Iss: 3, pp 177-196
TLDR
In this article, a quasi-static model for ultrasonic transmission and reflection at imperfect interfaces is developed, where the interface is represented by a distributed spring determined by the change in static compliance of the medium with respect to one with a perfect interface, and a distributed mass, representing excess mass at the interface.
Abstract
A quasi-static model for the ultrasonic transmission and reflection at imperfect interfaces is developed. The interface is represented by a distributed spring, determined by the change in static compliance of the medium with respect to one with a perfect interface, and a distributed mass, representing excess mass at the interface. Comparison of the model predictions to exact solutions for two simple cases illustrates its accuracy at low frequencies. The spring stiffnesses can be derived from existing solutions for the elastic displacement of materials containing cracks and inclusions under static load. Results for a variety of cases are reviewed. Applications of the model to study the characteristics of partially contacting surfaces in several problem areas of current interest are discussed.

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Citations
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Journal ArticleDOI

Transmission of seismic waves across single natural fractures

TL;DR: In this paper, the authors derived the complete solutions for seismic wave reflection, conversion, and transmission across a displacement and velocity discontinuity between two half-spaces with different densities and elastic properties for all angles of the incident wave.
Journal ArticleDOI

Nonlinear ultrasonic techniques for nondestructive assessment of micro damage in material: A review

TL;DR: In this paper, the authors reviewed the overall progress in nonlinear ultrasonic technique with the brief introduction of basic principle in the application of each nonlinear Ultrasonic phenomenon, including higher harmonic generation, subharmonic generation, nonlinear resonance, or mixed frequency response.
Journal ArticleDOI

Ultrasonic classification of imperfect interfaces

TL;DR: In this paper, it is shown that the ratio between the normal and transverse interfacial stiffnesses can be used to classify the interface imperfections, e.g., kissing, partial, and slip bonds.
Journal ArticleDOI

A Study of the Interaction between Ultrasound and a Partially Contacting Solid--Solid Interface

TL;DR: In this article, the authors measured the reflection of ultrasonic waves from partially contacting aluminium-aluminium interfaces, performed in the low frequency regime where the wavelength of the ultrasound is large compared to the size of the gaps.
Journal ArticleDOI

Ultrasonic spectroscopy of imperfect contact interfaces between a layer and two solids

TL;DR: In this article, the effect of interfacial stiffness is isolated by considering the ultrasonic wave interaction with a solid layer compressed between two substrates of the same material, and it is shown that in the high-interfacial-stiffness limit the resonance minima positions are given by the condition h=λ/4+nλ/2, n=0,1,2,…
References
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Book ChapterDOI

Effects of Crack Closure on Ultrasonic Transmission

TL;DR: In this paper, the effects of partial crack closure on focussed, through-transmission ultrasonic signals were investigated by using a two-dimensional, quasi-static model for ultrasonic interaction with a partially contacting interface, which relates width and separation of asperity contacts to the frequency dependence of ultrasonic reflection and transmission.
Book ChapterDOI

Interaction of Ultrasonic Waves with Simulated and Real Fatigue Cracks

TL;DR: Angel and Achenbach as mentioned in this paper developed an approximate model for this effect in which the array of contacts is replaced by an equivalent distributed spring with stiffness per unit area, K A result of this model, the frequency dependent transmission and reflection coefficients, has been verified by comparison to exact solutions for special cases.
Book ChapterDOI

Inference of fatigue-crack closure stresses from ultrasonic-transmission measurements

TL;DR: In this article, the authors used data reduction techniques such as those employed in holographic reconstructions to determine localized stresses across an interface between two materials, where they measured surface stresses and did not sample the stress condition near an internal interface.
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