Abstract

This work concerns the study of time-harmonic vibrations in a right finite cylinder made of an isotropic and homogeneous mixture consisting of two components: an elastic solid and a Kelvin-Voigt material. The both thermal and viscoelastic effects are used to introduce an adequate measure of the amplitude of vibrations and to establish an exponential decay estimate of Saint-Venant type that holds for every frequency of vibrations and for mixtures for which the constitutive coefficients are supposed to satisfy some mild positive definiteness conditions. Mathematics Subject Classication 2000: 74F20, 74G50, 74H45.

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