THERMAL SCIENCE

International Scientific Journal

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 No. 2, PAGES [1221 - 1227]
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A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model

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