Abstract
The present paper deals with the study of the amplitude of the steady-state vibrations in a right finite cylinder made of an isotropic Kelvin-Voigt material. Some exponential decay estimates, similar to those of Saint-Venant type, are obtained for appropriate cross-sectional area measures associated with the amplitude of the steady-state vibrations. It is proved that due to dissipative effects, the estimates in question hold for every value of the frequency of vibrations and for arbitrary values of the elastic coefficients. The results are extended to a semi-infinite cylinder and some alternatives of Phragmèn-Lindelöf type are established.
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Chiriţă, S., Galeş, C. & Ghiba, I.D. On Spatial Behavior of the Harmonic Vibrations in Kelvin-Voigt Materials. J Elasticity 93, 81–92 (2008). https://doi.org/10.1007/s10659-008-9167-z
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DOI: https://doi.org/10.1007/s10659-008-9167-z