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.
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页码：521 / 536
页数：16
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