Search results for " Mechanical models"

showing 3 items of 3 documents

Fractional multiphase hereditary materials: Mellin Transforms and Multi-Scale Fractances

2013

The rheological features of several complex organic natural tissues such as bones, muscles as well as of complex artificial polymers are well described by power-laws. Indeed, it is well-established that the time-dependence of the stress and the strain in relaxation/creep test may be well captured by power-laws with exponent β ∈ [0, 1]. In this context a generalization of linear springs and linear dashpots has been introduced in scientific literature in terms of a mechanical device dubbed spring-pot. Recently the authors introduced a mechanical analogue to spring-pot built upon a proper arrangements of springs and dashpots that results in Elasto-Viscous (EV) materials, as β ∈ [0, 1/2] and Vi…

Hereditary materials Multi-phase materials Fractional-Order Operators Mechanical modelsSettore ICAR/08 - Scienza Delle Costruzioni
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A discrete mechanical model of fractional hereditary materials

2013

Fractional hereditary materials are characterized for the presence, in the stress-strain relations, of fractional-order operators with order beta a[0,1]. In Di Paola and Zingales (J. Rheol. 56(5):983-1004, 2012) exact mechanical models of such materials have been extensively discussed obtaining two intervals for beta: (i) Elasto-Viscous (EV) materials for 0a parts per thousand currency sign beta a parts per thousand currency sign1/2; (ii) Visco-Elastic (VE) materials for 1/2a parts per thousand currency sign beta a parts per thousand currency sign1. These two ranges correspond to different continuous mechanical models. In this paper a discretization scheme based upon the continuous models p…

HereditarineMechanical modelsPower-lawDiscretized modelMechanical EngineeringMathematical analysisFractional calculuCondensed Matter PhysicsFractional calculusDiscretized models Eigenanalysis Fractional calculus Hereditariness Mechanical models Power-lawMechanical modelMechanics of MaterialsOrder (group theory)EigenanalysisMathematics
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Linear and nonlinear fractional hereditary constitutive laws of asphalt mixtures

2016

The aim of this paper is to propose a fractional viscoelastic and viscoplastic model of asphalt mixtures using experimental data of several tests such as creep and creep recovery performed at different temperatures and at different stress levels. From a best fitting procedure it is shown that both the creep one and recovery curve follow a power law model. It is shown that the suitable model for asphalt mixtures is a dashpot and a fractional element arranged in series. The proposed model is also available outside of the linear domain but in this case the parameters of the model depend on the stress level.

Materials scienceasphalt mixtureStrategy and Managementcreep test0211 other engineering and technologies02 engineering and technologyfractional calculusPower lawcreep test.ViscoelasticityDashpot0203 mechanical engineering021105 building & constructionSettore ICAR/04 - Strade Ferrovie Ed AeroportiComposite materialviscoplasticityviscoelasticityCivil and Structural EngineeringBuilding constructionmechanical modelsViscoplasticityMechanicsmechanical modelFractional calculusfractional calculus asphalt mixture viscoelasticity viscoplasticity rheology mechanical models creep testfractional calculuNonlinear system020303 mechanical engineering & transportsCreepAsphaltrheologyTH1-9745
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