Search results for "Dispersion of elastic wave"

showing 1 items of 1 documents

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
researchProduct