Abstract

We present an asymptotic analysis of the boundary‐generated, small‐amplitude, high‐frequency waves in a one‐dimensional, semi‐infinite, viscoelastic solid characterized by a single‐integral constitutive functional. The equations governing the wave motion constitute a 2×2 system of hyperbolic Volterra integrodifferential equations. The method of analysis is based on a single‐wave expansion of nonlinear geometric optics.

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