FREQUENCY-SPECTRA OF NONLINEAR ELASTIC PULSE-MODE WAVES

The frequency spectrum of simple waves is used to derive a closed form analytical representation for the frequency spectrum of damped nonlin ear pulses in elastic materials. The damping modification of simple wa ve theory provides an efficient numerical method for calculating propa gating wave forms. The spectral representation, which is neither pulse length nor amplitude limited, is used to obtain estimates for paramet ers of the nonlinear state relation for a sandstone sample from publis hed experimental data, and the results are compared with those of othe r theories. The method should have broad application to many solids.