A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model

A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model

This paper proposes a fractal viscoelastic element via He’s fractal derivative, its properties are analyzed in details by the two-scale transform for the first time. The element is used to establish a fractal Maxwell-rheological model, which unifies the fractal creep equation and relaxation equation...

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Bibliographic Details
Main Authors: Liang Yan-Hong, Wang Kang-Jia
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2021-01-01
Series:Thermal Science
Subjects:
he’s fractal derivative
fractal maxwell-rheological model
fractal viscoelasticelement
two-scale method
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100015L.pdf
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spelling doaj-245af9ed97994b928d83754845d05c262021-04-09T10:17:05ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632021-01-01252 Part B1221122710.2298/TSCI200301015L0354-98362100015LA new fractal viscoelastic element: Promise and applications to Maxwell-rheological modelLiang Yan-Hong0Wang Kang-Jia1School of Qilu Transportation, Shandong University, Jinan, ChinaSchool of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo, ChinaThis paper proposes a fractal viscoelastic element via He’s fractal derivative, its properties are analyzed in details by the two-scale transform for the first time. The element is used to establish a fractal Maxwell-rheological model, which unifies the fractal creep equation and relaxation equation, and includes the classic elastic model and the classical Maxwell-rheological model as two special cases. This paper sheds a bright light on viscoelasticity, and the model can find wide applications in rock mechanics, plastic mechanics, and non-continuum mechanics.http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100015L.pdfhe’s fractal derivativefractal maxwell-rheological modelfractal viscoelasticelementtwo-scale method
collection DOAJ
language English
format Article
sources DOAJ
author Liang Yan-Hong
Wang Kang-Jia
spellingShingle Liang Yan-Hong
Wang Kang-Jia
A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model
Thermal Science
he’s fractal derivative
fractal maxwell-rheological model
fractal viscoelasticelement
two-scale method
author_facet Liang Yan-Hong
Wang Kang-Jia
author_sort Liang Yan-Hong
title A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model
title_short A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model
title_full A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model
title_fullStr A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model
title_full_unstemmed A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model
title_sort new fractal viscoelastic element: promise and applications to maxwell-rheological model
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2021-01-01
description This paper proposes a fractal viscoelastic element via He’s fractal derivative, its properties are analyzed in details by the two-scale transform for the first time. The element is used to establish a fractal Maxwell-rheological model, which unifies the fractal creep equation and relaxation equation, and includes the classic elastic model and the classical Maxwell-rheological model as two special cases. This paper sheds a bright light on viscoelasticity, and the model can find wide applications in rock mechanics, plastic mechanics, and non-continuum mechanics.
topic he’s fractal derivative
fractal maxwell-rheological model
fractal viscoelasticelement
two-scale method
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100015L.pdf
work_keys_str_mv AT liangyanhong anewfractalviscoelasticelementpromiseandapplicationstomaxwellrheologicalmodel
AT wangkangjia anewfractalviscoelasticelementpromiseandapplicationstomaxwellrheologicalmodel
AT liangyanhong newfractalviscoelasticelementpromiseandapplicationstomaxwellrheologicalmodel
AT wangkangjia newfractalviscoelasticelementpromiseandapplicationstomaxwellrheologicalmodel
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