ON A NEW CLASS OF CONSTITUTIVE EQUATIONS FOR LINEAR VISCOELASTIC BODY

被引：2

作者：

Dolicanin-Dekic, Diana ^{[1
,2
]}

机构：

[1] Univ Pristina Kosovska Mitrov, Dept Math, Fac Tech Sci, Kneza Milosa 7, Kosovska Mitrovica 38220, Serbia

[2] Univ Novi Pazar, Dept Math, Vuka Karadz Bb, Novi Pazar 36300, Serbia

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2017年 / 20卷 / 02期

关键词：

real and complex order fractional derivatives; constitutive equation; dissipativity condition; FRACTIONAL CALCULUS; WAVE-EQUATION; MODEL;

D O I：

10.1515/fca-2017-0027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a viscoelastic body involving a constitutive equation with distributed order fractional derivatives of complex order. Using a dissipation inequality in a weak form, we derive a sufficient conditions on coefficients of a model that guarantee that the Second law of thermodynamics under isothermal conditions is satisfied. Several known constitutive equations follow from our model as special cases. As an application, a new constitutive equation is related to an equation of motion of a generalized linear oscillator.

引用

页码：521 / 536

页数：16

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