Zener Model with General Fractional Calculus: Thermodynamical Restrictions

被引：27

作者：

Atanackovic, Teodor M. ^{[1
]}

Pilipovic, Stevan ^{[2
]}

机构：

[1] Univ Novi Sad, Fac Tech Sci, Novi Sad 21000, Serbia

[2] Univ Novi Sad, Fac Sci, Novi Sad 21000, Serbia

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 10期

关键词：

general fractional calculus; viscoelasticity; Zener model; restrictions; EQUATIONS;

D O I：

10.3390/fractalfract6100617

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We studied a Zener-type model of a viscoelastic body within the context of general fractional calculus and derived restrictions on coefficients that follow from the dissipation inequality, which is the entropy inequality under isothermal conditions. We showed, for a stress relaxation and a wave propagation, that the restriction that follows from the entropy inequality is sufficient to guarantee the existence and uniqueness of the solution. We presented numerical data related to the solution of a wave equation for several values of parameters.

引用

页数：17

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