On a new class of constitutive equations for linear viscoelastic body-Reference-Cited by-同舟云学术

On a new class of constitutive equations for linear viscoelastic body

Published:2017-04-01 Issue:2 Volume:20 Page:521-536
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Dolićanin-Đekić Diana¹²

Affiliation:

1. Dept. of Mathematics , Faculty of Technical Sciences University of Priština – Kosovska Mitrovica Kneza Milosa 7 , 38220 Kosovska Mitrovica , Serbia

2. Dept. of Mathematics , University of Novi Pazar Vuka Karadzića bb , 36300 Novi Pazar , Serbia

Abstract

Abstract We study a viscoelastic body involving a constitutive equation with distributed order fractional derivatives of complex order. Using a dissipation inequality in a weak form, we derive a sufficient conditions on coefficients of a model that guarantee that the Second law of thermodynamics under isothermal conditions is satisfied. Several known constitutive equations follow from our model as special cases. As an application, a new constitutive equation is related to an equation of motion of a generalized linear oscillator.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0027/pdf

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