A new fractal viscoelastic element: Promise and applications to Maxwell-rheological model
Yan-Hong Liang, Kang‐Jia Wang
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.
Topics & Concepts
ViscoelasticityFractalRheologyFractal derivativeContinuum mechanicsCreepRelaxation (psychology)Fractional calculusStress relaxationClassical mechanicsMechanicsMaterials sciencePhysicsFractal dimensionMathematical analysisMathematicsFractal analysisComposite materialSocial psychologyPsychologySoil, Finite Element MethodsLandslides and related hazardsRock Mechanics and Modeling