TY - JOUR
TI - A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model
AU - Liang Yan-Hong
AU - Wang Kang-Jia
JN - Thermal Science
PY - 2021
VL - 25
IS - 2
SP - 1221
EP - 1227
PT - Article
AB - 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.