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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VINCA Institute of Nuclear Sciences
2021-01-01
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Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100015L.pdf |
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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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1721532695492689920 |