Research on Fractional Derivative Viscoelastic Constitutive Relation of Asphalt Mixture

Hua Yin; Yi Li; Nai Zhou Wang

doi:10.4028/www.scientific.net/AMR.446-449.2560

Paper Titles

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Vehicle Parameters Influence on Railway Double-Track Pre-Stressed Concrete Continuous Bridge Vertical Load-Carrying Natural Frequency
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Damage Condition Assessment of Expressway Asphalt Pavement Based on RBF Neural Network
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Concrete Strength and Deformation Property under Sea Water Erosion Environment
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Research on Fractional Derivative Viscoelastic Constitutive Relation of Asphalt Mixture
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Mechanism Research on Water Damage of Asphalt Mixture Based on Chemical Thermodynamics
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Characteristics of Liquefaction Resistance for the Saturated Silty Soil Ground Treated by Compacted Gravel Pile Composite Foundation
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Optimal Design of Small Pile Composite Foundation Based on Settlement Control
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Analysis on Effect of Tunnel Crossing Underneath Foundation of Tall Buildings on Anti-Seismic Mortar Anchor in Weathered Rock Area
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Research on Fractional Derivative Viscoelastic Constitutive Relation of Asphalt Mixture

Abstract:

Based on the definition of fractional derivative, the paper proposed a unique new idea to describe the viscoelastic property of asphalt mixture with fractional calculus. According to the SPT (Simple Performance Tests) test results, the dynamic modulus and phase angle of asphalt mixture were determined. The result of the test was fitted with the classical Kelvin model, the Maxwell model, the solid model with three elements, respectively. It showed that the classical viscoelastic model did not simulate the dynamic mechanical properties of asphalt mixture properly. Since the existing constitutive relation cannot describe well the dynamic viscoelastic properties of asphalt mixture, the fractional derivative viscoelastic model with three elements was adopted and its fitting effect analyzed. The result shown a good fitting for the fractional derivative viscoelastic model with three elements, and a few test parameters were required to build the mode. In addition, these simulating parameters were significant in physics. The order  of the fractional derivative has good correlation with the phase angle, incarnating the viscoelastic proportion of asphalt mixture. So the fractional derivative viscoelastic model with three elements can accurately describe the dynamic mechanical properties of asphalt mixture.