Authors: Konjik, Sanja
Atanacković, Teodor
Oparnica, Ljubica
Zorica, Dušan 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods
Journal: Abstract and Applied Analysis
Volume: 2011
Issue Date: 16-Sep-2011
Rank: M21a
ISSN: 1085-3375
DOI: 10.1155/2011/975694
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.
Publisher: Hindawi
Project: Viscoelasticity of fractional type and shape optimization in a theory of rods 
Methods of Functional and Harmonic Analysis and PDE with Singularities 
APV, Project 114-451-2167/2011-01
Austrian Science Fund, START-Project Y-237

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