Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods-Reference-Cited by-同舟云学术

Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods

Published:2011 Issue: Volume:2011 Page:1-32
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Atanacković Teodor M.¹,Konjik Sanja²,Oparnica Ljubica³,Zorica Dušan⁴

Affiliation:

1. Faculty of Technical Sciences, Institute of Mechanics, University of Novi Sad, Trg D. Obradovića 6, 21000 Novi Sad, Serbia

2. Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Serbia

3. Faculty of Education, University of Novi Sad, Podgorička 4, 25000 Sombor, Serbia

4. Institute of Mathematics, SANU, Kneza Mihaila 35, 11000 Belgrade, Serbia

Abstract

We discuss thermodynamical restrictions for a linear constitutive equation containing fractional derivatives of stress and strain of different orders. Such an equation generalizes several known models. The restrictions on coefficients are derived by using entropy inequality for isothermal processes. In addition, we study waves in a rod of finite length modelled by a linear fractional constitutive equation. In particular, we examine stress relaxation and creep and compare results with the quasistatic analysis.

Funder

Serbian Ministry of Science

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/975694.pdf

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