ON LINEAR VISCOELASTICITY WITHIN GENERAL FRACTIONAL DERIVATIVES WITHOUT SINGULAR KERNEL

被引：13
|
作者：
Gao, Feng [1 ,2 ]
Yang, Xiao-Jun [1 ,2 ]
Mohyud-Din, Syed Tauseef [3 ]
机构：
[1] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou, Peoples R China
[2] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou, Peoples R China
[3] HITEC Univ, Fac Sci, Dept Math, Taxila Cantt, Pakistan
来源：
THERMAL SCIENCE | 2017年 / 21卷
关键词：
fractional derivatives without singular kernel; Laplace transform; Maxwell element; Kelvin-Voigt element; linear viscoelasticity; CALCULUS; MODEL;
D O I：
10.2298/TSCI170308197G
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The Riemann-Liouville and Caputo-Liouville fractional derivatives without singular kernel are proposed as mathematical tools to describe the mathematical models in line viscoelasticity in the present article. The fractional mechanical models containing the Maxwell and Kelvin-Voigt elements are graphically discussed with the Laplace transform. The results are accurate and efficient to reveal the complex behaviors of the real materials.
引用
收藏
页码：S335 / S342
页数：8
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