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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Datum:1999
1. Verfasser: Matarazzo, G.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 1999
Schriftenreihe:Нелінійні коливання
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/177156
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On a relation between memory effects by Maxwell - Boltzmann and Kelvin - Voigt in linear viscoelastic theory / G. Matarazzo // Нелінійні коливання. — 1999. — Т. 2, № 3. — С. 345-351. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung: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.