Search results for "Fractional creep and relaxation time"

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Fractional characteristic times and dissipated energy in fractional linear viscoelasticity

2016

Abstract In fractional viscoelasticity the stress–strain relation is a differential equation with non-integer operators (derivative or integral). Such constitutive law is able to describe the mechanical behavior of several materials, but when fractional operators appear, the elastic and the viscous contribution are inseparable and the characteristic times (relaxation and retardation time) cannot be defined. This paper aims to provide an approach to separate the elastic and the viscous phase in the fractional stress–strain relation with the aid of an equivalent classical model (Kelvin–Voigt or Maxwell). For such equivalent model the parameters are selected by an optimization procedure. Once …

Numerical AnalysisDifferential equationApplied MathematicsMathematical analysisConstitutive equationLoss and storage modulusStiffnessDissipated energy Fractional calculus in linear viscoelasticity Fractional creep and relaxation times Loss and storage modulusHarmonic (mathematics)02 engineering and technologyDissipationDissipated energy021001 nanoscience & nanotechnologyViscoelasticityViscosity020303 mechanical engineering & transports0203 mechanical engineeringModeling and SimulationmedicineRelaxation (physics)Fractional creep and relaxation timemedicine.symptom0210 nano-technologyFractional calculus in linear viscoelasticityMathematics
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