Search results for "calculu"

Background and Objectives The aim of the present histologic study was to compare the in vivo and in vitro effects of an erbium: yttrium, aluminum, and garnet (Er:YAG) laser (ERL), combined with a fluorescent calculus detection system, a diode laser (DL) and scaling and root planing (SRP) on periodontally diseased root surfaces. Study Design/Materials and Methods Twenty-four single rooted teeth, considered for extraction due to severe periodontal destruction, were included in the study. Prior to extraction all mesial root surfaces were randomly assigned to the following treatment groups: (1) ERL combined with a calculus detection system with fluorescence induced by 655 nm InGaAsP DL radiatio…

Materials scienceDentistryDermatologyRoot Planinglaw.inventionScaling and root planingIn vivolawmedicineHumansDental CalculusCementumIrradiationTooth RootPeriodontal Diseasesbusiness.industryPulse (signal processing)Calculus (dental)Lasermedicine.diseasestomatognathic diseasesmedicine.anatomical_structureDental ScalingSurgeryLaser TherapybusinessEr:YAG laserBiomedical engineeringLasers in Surgery and Medicine

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A physical description of fractional-order Fourier diffusion

2014

In this paper the authors introduce a physical picture of anomalous heat transfer in rigid conductor. The analysis shows that a fractional-order Fourier transport is obtained by the analysis of the heat transport in a functionally graded conductor. The order of the fractional-type operator obtained is related to the grading of the physical properties of the conductor.

Materials scienceDifferential equationMathematics::Number TheoryOperator (physics)Mathematical analysisCondensed Matter::Mesoscopic Systems and Quantum Hall EffectConductorsymbols.namesakeFourier transformFourier numberThermal diffusion Fourier Equations Fractional-order calculus Temperature evolutionHeat transfersymbolsDiffusion (business)Settore ICAR/08 - Scienza Delle CostruzioniElectrical conductorICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014

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On the dynamics of non-local fractional viscoelastic beams under stochastic agencies

2018

Abstract Non-local viscoelasticity is a subject of great interest in the context of non-local theories. In a recent study, the authors have proposed a non-local fractional beam model where non-local effects are represented as viscoelastic long-range volume forces and moments, exchanged by non-adjacent beam segments depending on their relative motion, while local effects are modelled by elastic classical stress resultants. Long-range interactions have been given a fractional constitutive law, involving the Caputo's fractional derivative. This paper introduces a comprehensive numerical approach to calculate the stochastic response of the non-local fractional beam model under Gaussian white no…

Materials scienceDiscretization02 engineering and technologyWhite noiseIndustrial and Manufacturing Engineering0203 mechanical engineeringFractional viscoelasticityComposite materialImpulse responseNon local Timoshenko beamMechanical EngineeringMathematical analysisEquations of motionWhite noise021001 nanoscience & nanotechnologyPhysics::History of PhysicsNon local Timoshenko beam; Fractional viscoelasticity; White noise; State variable expansionFractional calculusNumerical integration020303 mechanical engineering & transportsMechanics of MaterialsStress resultantsFrequency domainCeramics and CompositesState variable expansionSettore ICAR/08 - Scienza Delle CostruzioniFractional viscoelasticity Non local Timoshenko beam State variable expansion White noise0210 nano-technologyNon local Timoshenko beam Fractional viscoelasticity White noise State variable expansionComposites Part B: Engineering

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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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Prediction of Dissipative Properties of Flax Fibers Reinforced Laminates by Vibration Analysis

2016

This study proposes an experimental-numeric method to identify the viscoelastic properties of flax fibres reinforced composite laminate (flax/epoxide). The used method consists in identifying the evolutions of both loss factor and stiffness when vibrational frequency changes. In this way, several free-free symmetrically guided beams are excited on a dynamic range of 10 to 4000 Hz with sweep sine excitation focused around the 4-first’s modes. Fractional derivative Zener model is used to identify the on-axis ply complex moduli and describe the laminate dissipative linear behavior with the classical laminate theory. Results obtained on a quasi-isotropic laminate show that this model adequately…

Materials sciencebusiness.industry[SPI] Engineering Sciences [physics]Loss factorComposite numberStiffnessGeneral MedicineStructural engineering[SPI.MAT] Engineering Sciences [physics]/MaterialsViscoelasticityFractional calculusVibrationDissipative systemmedicineStandard linear solid modelComposite materialmedicine.symptombusinessComputingMilieux_MISCELLANEOUS

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A non-local model of fractional heat conduction in rigid bodies

2011

In recent years several applications of fractional differential calculus have been proposed in physics, chemistry as well as in engineering fields. Fractional order integrals and derivatives extend the well-known definitions of integer-order primitives and derivatives of the ordinary differential calculus to real-order operators. Engineering applications of fractional operators spread from viscoelastic models, stochastic dynamics as well as with thermoelasticity. In this latter field one of the main actractives of fractional operators is their capability to interpolate between the heat flux and its time-rate of change, that is related to the well-known second sound effect. In other recent s…

Mathematical analysisGeneral Physics and AstronomyThermodynamicsDifferential calculusFractional calculusThermoelastic dampingHeat fluxSecond soundHeat transferGeneral Materials ScienceBoundary value problemPhysical and Theoretical ChemistrySettore ICAR/08 - Scienza Delle CostruzioniConvection–diffusion equationTransport phenomena non-local modelThe European Physical Journal Special Topics

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