Search results for " Non-local Elasticity"

showing 4 items of 4 documents

Long-range interactions in 1D heterogeneous solids with uncertainty

2013

Abstract In this paper, the authors aim to analyze the response of a one-dimensional non-local elastic solid with uncertain Young's modulus. The non-local effects are represented as long-range central body forces between non-adjacent volume elements. Following a non-probabilistic approach, the fluctuating elastic modulus of the material is modeled as an interval field. The analysis is conducted resorting to a novel formulation that confines the overestimation effect involved in interval models. Approximate closed-form expressions are derived for the bounds of the interval displacement field.

Body forceNon-local elasticityField (physics)non-local elasticity; long-range interactions; interval field; upper bound and lower bound.Mathematical analysisModulusGeneral MedicineInterval (mathematics)Upper and lower boundsLong-range interactionLong-range interactionsInterval field; Long-range interactions; Non-local elasticity; Upper bound and lower boundDisplacement fieldRange (statistics)Interval fieldUpper bound and lower boundSettore ICAR/08 - Scienza Delle CostruzioniElastic modulusMathematics
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Non-Local Thermoelasticity: The Fractional Heat conduction

2011

Fractional Calculus Non-local Elasticity Thermal Stress
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Elastic waves propagation in 1D fractional non-local continuum

2008

Aim of this paper is the study of waves propagation in a fractional, non-local 1D elastic continuum. The non-local effects are modeled introducing long-range central body interactions applied to the centroids of the infinitesimal volume elements of the continuum. These non-local interactions are proportional to a proper attenuation function and to the relative displacements between non-adjacent elements. It is shown that, assuming a power-law attenuation function, the governing equation of the elastic waves in the unbounded domain, is ruled by a Marchaud-type fractional differential equation. Wave propagation in bounded domain instead involves only the integral part of the Marchaud fraction…

PhysicsNon-local elasticityContinuum mechanicsWave propagationDifferential equationMathematical analysisCondensed Matter PhysicsFractional calculuDispersion of elastic waves; Lattice models; Long-range interactions; Non-local elasticity; Fractional calculus; Fractional power lawPower lawAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsFractional calculusLattice modelLove waveLong-range interactionIngenieurwissenschaftenDispersion of elastic waveBounded functionddc:620Settore ICAR/08 - Scienza Delle CostruzioniLongitudinal waveFractional power law
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On the vibrations of a mechanically based non-local beam model

2012

The vibration problem of a Timoshenko non-local beam is addressed. The beam model involves assuming that the equilibrium of each volume element is attained due to contact forces and long-range body forces exerted, respectively, by adjacent and non-adjacent volume elements. The contact forces result in the classical Cauchy stress tensor while the long-range forces are taken as depending on the product of the interacting volume elements and on their relative displacement through a material-dependent distance-decaying function. To derive the motion equations and the related mechanical boundary conditions, the Hamilton's principle is applied The vibration problem of a Timoshenko non-local beam …

Timoshenko beam theoryBody forceNon-local elasticityGeneral Computer ScienceGeneral Physics and AstronomyContact forceLong-range interactionsymbols.namesakeFree vibrations; Hamilton's principle; Long-range interactions; Non-local elasticity; Timoshenko beam theoryGeneral Materials ScienceHamilton's principleVolume elementPhysicsCauchy stress tensorEquations of motionFree vibrationGeneral ChemistryMechanicsComputational MathematicsTimoshenko beam theoryClassical mechanicsHamilton's principleMechanics of MaterialssymbolsSettore ICAR/08 - Scienza Delle CostruzioniBeam (structure)Computational Materials Science
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