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Title:

Elastic waves propagation in 1D fractional non-local continuum

Document type:
Zeitschriftenaufsatz
Author(s):
Cottone, D. ; Paola, M.D. ; Zingales, M.
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:
2
Pages contribution:
95–103
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:doi:10.1016/j.physe.2009.09.006
WWW:
http://www.sciencedirect.com/science/article/pii/S1386947709003415
Publisher:
Elsevier
TUM Institution:
FG Risikoanalyse und Zuverlässigkeit
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