Abstract
A nonlinear, time-dependent, integral stress—strain relationship is formulated. Response functions for various powers of the retarded stress have transforms which satisfy dispersion relations. Characteristics and characteristic equations for one-dimensional elastic—plastic wave propagation are developed. We assume that the mechanism for the decay of elastic waves is the same as the mechanism of ultrasonic internal friction. This permits us to evaluate the linear response function by comparison with frequency-dependent internal friction theory and experiment. The functional form of the nonlinear response function is found.
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