THERMAL SCIENCE

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Yan-Hong Liang

,

Kang-Jia Wang

A NEW FRACTAL VISCOELASTIC ELEMENT: PROMISE AND APPLICATIONS TO MAXWELL-RHEOLOGICAL MODEL

ABSTRACT
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.
KEYWORDS
Fractal viscoelasticelement, two-scale method, He’s fractal derivative, fractal Maxwell-rheological model
PAPER SUBMITTED: 2020-03-01
PAPER REVISED: 2020-06-12
PAPER ACCEPTED: 2020-06-12
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200301015L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1221 - 1227]
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A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence