Yc. Chu et Si. Rokhlin, A METHOD FOR DETERMINATION OF ELASTIC-CONSTANTS OF A UNIDIRECTIONAL LAMINA FROM ULTRASONIC BULK VELOCITY-MEASUREMENTS ON [0 90] CROSS-PLY COMPOSITES/, The Journal of the Acoustical Society of America, 96(1), 1994, pp. 342-352
In this paper we introduce an inversion method to determine elastic mo
duli of a unidirectional lamina from ultrasonic time-delay measurement
s on [0/90] cross-ply composites. A lamina is a single ply (layer) of
unidirectional fibers in a multiply composite plate. This method is ba
sed on a geometrical acoustic model relating the lamina properties wit
h time-delay data for a [0/90] cross-ply composite. Interference due t
o multiple reflections within the laminate is assumed to be negligible
. It is shown via numerical simulation that the reconstructed lamina m
oduli are highly accurate for composites with transversely isotropic l
aminae even for data containing large random scatter. For composites w
ith orthotropic laminae, the method gives a very close approximation t
o the true lamina properties with reasonable accuracy. Experimental ti
me-delay measurements in [0/90](2s) cross-ply metal matrix composites
(SiC/Ti-15V-3Al-3Cr-3Sn) are made in different incident planes. To avo
id the effect of wave interaction within the laminate, we used the fir
st arrival of the ultrasonic signal for time-delay measurements. From
the [0/90](2s) composite measurements, the elastic moduli of the lamin
a are determined and compared to those of a thin unidirectional compos
ite panel measured independently by ultrasonic plate modes. The agreem
ent between the two independent measurements is good. Utilization of m
easurements in the 45 degrees plane in [0/90] composites for determina
tion of lamina moduli is also discussed.