0000000000092609

AUTHOR

Daniele Zonta

showing 4 related works from this author

Fractional-Order Theory of Thermoelasticity. II: Quasi-Static Behavior of Bars

2018

This work aims to shed light on the thermally-anomalous coupled behavior of slightly deformable bodies, in which the strain is additively decomposed in an elastic contribution and in a thermal part. The macroscopic heat flux turns out to depend upon the time history of the corresponding temperature gradient, and this is the result of a multiscale rheological model developed in Part I of the present study, thereby resembling a long-tail memory behavior governed by a Caputo's fractional operator. The macroscopic constitutive equation between the heat flux and the time history of the temperature gradient does involve a power law kernel, resulting in the anomaly mentioned previously. The interp…

PhysicsWork (thermodynamics)Order theoryStrain (chemistry)Anomalous heat transferMechanical EngineeringMathematical analysisFractional derivatives02 engineering and technologyFractional derivative01 natural sciencesFractional calculusAnomalous thermoelasticity010101 applied mathematicsMultiscale hierarchical heat conductorsMultiscale hierarchical heat conductor020303 mechanical engineering & transports0203 mechanical engineeringMechanics of MaterialsMechanics of Material0101 mathematicsSettore ICAR/08 - Scienza Delle CostruzioniQuasistatic process
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Fractional-order theory of thermoelasticicty. I: Generalization of the Fourier equation

2018

The paper deals with the generalization of Fourier-type relations in the context of fractional-order calculus. The instantaneous temperature-flux equation of the Fourier-type diffusion is generalized, introducing a self-similar, fractal-type mass clustering at the micro scale. In this setting, the resulting conduction equation at the macro scale yields a Caputo's fractional derivative with order [0,1] of temperature gradient that generalizes the Fourier conduction equation. The order of the fractional-derivative has been related to the fractal assembly of the microstructure and some preliminary observations about the thermodynamical restrictions of the coefficients and the state functions r…

Uses of trigonometryGeneralization01 natural sciences010305 fluids & plasmasScreened Poisson equationsymbols.namesakeFractional operators0103 physical sciencesFractional Fourier equationMechanics of Material010306 general physicsFourier seriesMathematicsFourier transform on finite groupsEntropy functionsHill differential equationPartial differential equationMechanical EngineeringFourier inversion theoremMathematical analysisTemperature evolutionMechanics of MaterialssymbolsFractional operatorSettore ICAR/08 - Scienza Delle CostruzioniEntropy function
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A Viscoelastic Model for the Long-Term Deflection of Segmental Prestressed Box Girders

2017

Most of segmental prestressed concrete box girders exhibit excessive multidecade deflections unforeseeable by past and current design codes. To investigate such a behavior, mainly caused by creep and shrinkage phenomena, an effective finite element (FE) formulation is presented in this article. This formulation is developed by invoking the stationarity of an energetic principle for linear viscoelastic problems and relies on the Bazant creep constitutive law. A case study representative of segmental prestressed concrete box girders susceptible to creep is also analyzed in the article, that is, the Colle Isarco viaduct. Its FE model, based on the aforementioned energetic formulation, was succ…

business.industryComputer scienceConstitutive equation0211 other engineering and technologies020101 civil engineering02 engineering and technologyBuilding and ConstructionStructural engineeringComputer Graphics and Computer-Aided DesignFinite element methodViscoelasticity0201 civil engineeringComputer Science Applicationslaw.inventionPrestressed concreteComputational Theory and MathematicsCreepDeflection (engineering)lawGirder021105 building & constructionbusinessCivil and Structural EngineeringShrinkageComputer-Aided Civil and Infrastructure Engineering
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A Viscoelastic Model for the Long-Term Deflection of Segmental Prestressed Box Girders

2017

Most of segmental prestressed concrete box girders exhibit excessive multidecade deflections unforeseeable by past and current design codes. To investigate such a behavior, mainly caused by creep and shrinkage phenomena, an effective finite element (FE) formulation is presented in this article. This formulation is developed by invoking the stationarity of an energetic principle for linear viscoelastic problems and relies on the Bazant creep constitutive law. A case study representative of segmental prestressed concrete box girders susceptible to creep is also analyzed in the article, that is, the Colle Isarco viaduct. Its FE model, based on the aforementioned energetic formulation, was succ…

TAComputational Theory and MathematicsCivil and Structural Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Computer Graphics and Computer-Aided Design; Computational Theory and MathematicsComputer Science Applications1707 Computer Vision and Pattern RecognitionComputer Graphics and Computer-Aided DesignCivil and Structural Engineering
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