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Document type:
Zeitschriftenaufsatz 
Author(s):
Cottone, D. ; Paola, M.D. ; Zingales, M. 
Title:
Elastic waves propagation in 1D fractional non-local continuum 
Abstract:
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 e...    »
 
Keywords:
Dispersion of elastic waves; Lattice models; Long-range interactions; Non-local elasticity; Fractional calculus; Fractional power law 
Dewey Decimal Classification:
620 Ingenieurwissenschaften 
Journal title:
Physica E: Low-dimensional Systems and Nanostructures 
Year:
2009 
Journal volume:
42 
Journal issue:
Pages contribution:
95–103 
Reviewed:
ja 
Language:
en 
Publisher:
Elsevier 
TUM Institution:
FG Risikoanalyse und Zuverlässigkeit