Ai. Lavrentyev et Si. Rokhlin, DETERMINATION OF ELASTIC-MODULI, DENSITY, ATTENUATION, AND THICKNESS OF A LAYER USING ULTRASONIC SPECTROSCOPY AT 2 ANGLES, The Journal of the Acoustical Society of America, 102(6), 1997, pp. 3467-3477
An ultrasonic method for determination of the complete set of acoustic
al and geometrical properties of an isotropic layer embedded between t
wo known materials (similar or dissimilar) is described. The method al
lows simultaneous determination of the layer thickness, density, elast
ic moduli, and attenuation (longitudinal and shear) from normal and ob
lique incidence reflection (transmission) frequency spectra. Reflectio
n (transmission) from the layer is represented as a function of six no
ndimensional parameters which are determined from the two experimental
ly measured spectra: one at normal and one at oblique incidence. The i
ntroduction of the set of nondimensional parameters allows one to tran
sform the reconstruction process from one search in a six-dimensional
space to two searches in three-dimensional spaces (one search for norm
al incidence and one for oblique). Thickness, density, and longitudina
l and shear elastic moduli of the layer are calculated from the nondim
ensional parameters determined. The sensitivity of the method to indiv
idual properties and its stability against experimental noise are stud
ied and the inversion algorithm is accordingly optimized. Experimental
examples are given for a layer immersed in water and for a thermoplas
tic joint. (C) 1997 Acoustical Society of America. [S0001-4966(97)0101
2-6].