Transient ultrasonic waves in a viscoelastic plate: Theory

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Abstract
The nearfield response of a thick viscoelastic plate at epicenter, off-epicenter, and on the same side of the plate to a point step load acting normal to the surface is discussed. The integral expressions resulting from Fourier and Hankel transforms of the governing equations are evaluated by two procedures. An asymptotic evaluation of the frequency-domain response is presented for high frequencies corresponding to ray arrivals. A numerical double inverse transform procedure is developed for obtaining exact time-domain waveforms.

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