Thermodynamical Restrictions and Wave Propagation for a Class ofFractional Order Viscoelastic Rods | Zendy

Teodor M. Atanacković | Zendy; Sanja Konjik | Zendy; Ljubica Oparnica | Zendy; Dušan Zorica | Zendy

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Thermodynamical Restrictions and Wave Propagation for a Class ofFractional Order Viscoelastic Rods

Author(s) -

Teodor M. Atanacković,

Sanja Konjik,

Ljubica Oparnica,

Dušan Zorica

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/975694

Subject(s) - viscoelasticity , mathematics , constitutive equation , quasistatic process , isothermal process , mathematical analysis , entropy (arrow of time) , relaxation (psychology) , thermodynamics , finite element method , physics , psychology , social psychology

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

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