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Titel:

Elastic waves propagation in 1D fractional non-local continuum

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
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...     »
Stichworte:
Dispersion of elastic waves; Lattice models; Long-range interactions; Non-local elasticity; Fractional calculus; Fractional power law
Dewey Dezimalklassifikation:
620 Ingenieurwissenschaften
Zeitschriftentitel:
Physica E: Low-dimensional Systems and Nanostructures
Jahr:
2009
Band / Volume:
42
Heft / Issue:
2
Seitenangaben Beitrag:
95–103
Reviewed:
ja
Sprache:
en
Volltext / DOI:
doi:doi:10.1016/j.physe.2009.09.006
WWW:
http://www.sciencedirect.com/science/article/pii/S1386947709003415
Verlag / Institution:
Elsevier
TUM Einrichtung:
FG Risikoanalyse und Zuverlässigkeit
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