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    Fractional Derivative Viscoelastic Response Model for Asphalt Binders

    Source: Journal of Materials in Civil Engineering:;2019:;Volume (031):;issue:006
    Author:
    Yanan Xu;Liyan Shan;Shuang Tian
    DOI: doi:10.1061/(ASCE)MT.1943-5533.0002716
    Publisher: American Society of Civil Engineers
    Abstract: The main goal of this paper is to establish an appropriate fractional derivative model with fewer parameters that can model all the viscoelastic characteristics of asphalt binders. Based on this, the fractional derivative model elements and combination types were selected by analyzing the dynamic viscoelastic data. The model consists of two Abel dashpots in series with a Maxwell element (the model is a fractional derivative model composed of four elements in series, called the FDM-4 model). It was validated by describing both the dynamic and static viscoelastic properties of asphalt binders and by comparison with classical viscoelastic models. The advantages and disadvantages of the models were analyzed. Finally, the fractional derivative model was applied to describe the viscoelastic characteristics of asphalt mastics, and it was proved that the model could well describe the viscoelastic characteristics of asphalt mastics. The results indicate that the elements (an elastic spring and Abel dashpot) connected in series with a linear dashpot are better than those connected in parallel from the perspective of model fitting precision. Increasing the number of Abel dashpots in series in the FDM-4 model has little effect on the fitting results. The FDM-4 model can accurately describe the dynamic viscoelastic behavior, static creep, and relaxation characteristics of asphalt binders and asphalt mastics.
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      Fractional Derivative Viscoelastic Response Model for Asphalt Binders

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    contributor authorYanan Xu;Liyan Shan;Shuang Tian
    date accessioned2019-06-08T07:25:02Z
    date available2019-06-08T07:25:02Z
    date issued2019
    identifier other%28ASCE%29MT.1943-5533.0002716.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4257172
    description abstractThe main goal of this paper is to establish an appropriate fractional derivative model with fewer parameters that can model all the viscoelastic characteristics of asphalt binders. Based on this, the fractional derivative model elements and combination types were selected by analyzing the dynamic viscoelastic data. The model consists of two Abel dashpots in series with a Maxwell element (the model is a fractional derivative model composed of four elements in series, called the FDM-4 model). It was validated by describing both the dynamic and static viscoelastic properties of asphalt binders and by comparison with classical viscoelastic models. The advantages and disadvantages of the models were analyzed. Finally, the fractional derivative model was applied to describe the viscoelastic characteristics of asphalt mastics, and it was proved that the model could well describe the viscoelastic characteristics of asphalt mastics. The results indicate that the elements (an elastic spring and Abel dashpot) connected in series with a linear dashpot are better than those connected in parallel from the perspective of model fitting precision. Increasing the number of Abel dashpots in series in the FDM-4 model has little effect on the fitting results. The FDM-4 model can accurately describe the dynamic viscoelastic behavior, static creep, and relaxation characteristics of asphalt binders and asphalt mastics.
    publisherAmerican Society of Civil Engineers
    titleFractional Derivative Viscoelastic Response Model for Asphalt Binders
    typeJournal Article
    journal volume31
    journal issue6
    journal titleJournal of Materials in Civil Engineering
    identifier doidoi:10.1061/(ASCE)MT.1943-5533.0002716
    page04019089
    treeJournal of Materials in Civil Engineering:;2019:;Volume (031):;issue:006
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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