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

Yan-Hong Liang | Zendy; KangJia Wang | Zendy

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

Author(s) -

Yan-Hong Liang,

KangJia Wang

Publication year - 2021

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci200301015l

Subject(s) - viscoelasticity , fractal , rheology , fractal derivative , continuum mechanics , creep , relaxation (psychology) , fractional calculus , stress relaxation , classical mechanics , mechanics , materials science , physics , fractal dimension , mathematical analysis , mathematics , fractal analysis , composite material , social psychology , psychology

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.

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