Open AccessA 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/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.