Naslov (eng)

Internal Variable Theory in Viscoelasticity: Fractional Generalizations and Thermodynamical Restrictions

Autor

Kačapor, Enes
Dolićanin, Ćemal
Atanacković, Teodor

Opis (eng)

Abstract: Here, we study the internal variable approach to viscoelasticity. First, we generalize the classical approach by introducing a fractional derivative into the equation for time evolution of the internal variables. Next, we derive restrictions on the coefficients that follow from the dissipation inequality (entropy inequality under isothermal conditions). In the example of wave propagation, we show that the restrictions that follow from entropy inequality are sufficient to guarantee the existence of the solution. We present a numerical solution to the wave equation for several values of the parameters.

Jezik

engleski

Datum

2022

Licenca

© All rights reserved

Predmet

Keywords: fractional calculus; internal variables; thermodynamical admissibility

Deo kolekcije (1)

o:28516

Radovi nastavnika i saradnika Državnog univerziteta u Novom Pazaru