Ai. Lavrentyev et Si. Rokhlin, ULTRASONIC SPECTROSCOPY OF IMPERFECT CONTACT INTERFACES BETWEEN A LAYER AND 2 SOLIDS, The Journal of the Acoustical Society of America, 103(2), 1998, pp. 657-664
Ultrasonic waves reflected from the front and back surfaces of a thin
layer are often not separated in the time domain, and interfere. The s
pectrum of the resulting interference signal depends on (a) the thickn
ess of the layer and the elastic moduli and density of the layer and t
he surrounding material (substrates), and (b) properties of the layer/
substrate interface which can be described in terms of the interfacial
stiffness. In this paper the effect of interfacial stiffness is isola
ted by considering the ultrasonic wave interaction with a solid layer
compressed between two substrates of the same material, Since the laye
r and the substrate have identical properties the effect of impedance
difference on the layer reflection vanishes. An aluminum system is sel
ected for the experiment; the contacting surfaces are roughened and va
rying pressure is applied to model imperfect interface changes. It is
shown both theoretically and experimentally that the contact pressure
increase results in increase of the interfacial stiffness and spectral
minima shift to higher frequency. A simple analytical expression rela
ting the reflection minimum position to the interfacial stiffness is d
erived and shows good agreement with experimental results. It is shown
that in the high-interfacial-stiffness limit the resonance minima pos
itions are given by the condition h=lambda/4 +n lambda/2, n=0,1,2,....
In the limit of low interfacial stiffness the first minimum shifts to
zero and higher order resonances are given by h=n lambda/2, Since the
resonance minima measurements can be done with high precision it is p
roposed to use the frequency minimum shift for determination of interf
acial stiffness and, consequently, the quality of the interfacial cont
act. (C) 1998 Acoustical Society of America. [S0001-4966(98)06201-8].