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On a relation between memory effects by Maxwell - Boltzmann and Kelvin - Voigt in linear viscoelastic theory

On a relation between memory effects by Maxwell - Boltzmann and Kelvin - Voigt in linear viscoelastic theory

We study the smoothness properties of relaxation function such that a linear viscoelastic material system by Maxwell Boltzmann can be considered of Kelvin Voigt type; assuming that the relaxation function and its derivative decrease rapidly, and that the infinitesimal strain history is an analytical...

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Bibliographic Details
Main Author: Matarazzo, G.
Format: Article
Language:English
Published: Інститут математики НАН України 1999
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/177156
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Summary:We study the smoothness properties of relaxation function such that a linear viscoelastic material system by Maxwell Boltzmann can be considered of Kelvin Voigt type; assuming that the relaxation function and its derivative decrease rapidly, and that the infinitesimal strain history is an analytical function, the Cauchy stress tensor of the linear viscoelasticity is well approximated by a constitutive functional of rate type.

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