On overall behavior of Maxwell mechanical model by the combined Caputo fractional derivative

被引：28

作者：

Feng, Yi-Ying ^{[1
,2
]}

Yang, Xiao-Jun ^{[1
,2
,3
]}

Liu, Jian-Gen ^{[2
,3
]}

机构：

[1] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221116, Jiangsu, Peoples R China

[2] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Jiangsu, Peoples R China

[3] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

CHINESE JOURNAL OF PHYSICS | 2020年 / 66卷

关键词：

Combined Caputo fractional derivatives; Extension Laplace transform; Stehfest method; Viscoelasticity; Maxwell model; PARTICLE; EQUATION;

D O I：

10.1016/j.cjph.2020.05.006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The primary purpose of this paper is to analyze the overall behavior of fractional Maxwell model. The approach used in our study is known as the combined Caputo fractional derivative with pioneer work: the extension Laplace transform (ELT) which broaden the lower limit of the classical Laplace transform. Through the ELT and the Stehfest method, we obtain the strain re-sponse of the fractional Maxwell model with different parameters. It is concluded that the ob-tained results show the variation trend of strain response in a more accurate way.

引用

页码：269 / 276

页数：8

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