Asymptotic Analysis of a Hyperbolic Mixed Problem in One-Dimensional Viscoelasticity |
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Authors: | T Sabri
ncü T Bryant Moodie |
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Institution: | T. Sabri Öncü,T. Bryant Moodie |
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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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