eprintid: 2511
rev_number: 7
eprint_status: archive
userid: 6
dir: disk0/00/00/25/11
datestamp: 2015-01-19 14:45:48
lastmod: 2015-01-19 14:45:48
status_changed: 2015-01-19 14:45:48
type: conference_item
metadata_visibility: show
creators_name: Bacigalupo, Andrea
creators_name: Gambarotta, Luigi
creators_id: andrea.bacigalupo@imtlucca.it
creators_id: 
title: Dispersive acoustic waves in elastic periodic media: a non-local dynamic homogenization approach
ispublished: unpub
subjects: TJ
divisions: CSA
full_text_status: none
pres_type: paper
abstract: The paper is addressed to the analysis of low-frequency wave propagation in
materials with periodic microstructure. A second-gradient continuum model is derived, which
provides a sufficiently accurate simulation of for a wide range of wavelengths and a useful tool for
the wave propagation analysis in bounded domains. The multi-scale kinematics is described
through micro-fluctuation functions of the displacement field, which are derived by the solution of
a recurrent sequence of cell BVPs and obtained as the superposition of a static and dynamic
contribution. The latters are proportional to the even powers of the phase velocity and
consequently the micro-fluctuation functions also depend on the direction of propagation.
Therefore, both the higher order elastic moduli and the inertial terms results to depend on
dynamic correctors. This approach is applied to the study of wave propagation in layered bimaterials
with orthotropic phases, having an axis of orthotropy parallel to the direction of layering,
in which case, the overall elastic and inertial constants can be determined analytically. The
reliability of the proposed procedure is analysed by comparing the obtained dispersion functions
with those derived by the Floquet-Bloch theory.
date: 2013-09
event_title: AIMETA 2013 XX congresso dell'Associazione Italiana di Meccanica Teorica e Applicata
event_location: Torino (Italy)
event_dates: September 17-20, 2013
event_type: conference
refereed: TRUE
related_url_url: http://www.aimeta.dicam.unibo.it/sites/www.aimeta.dicam.unibo.it/files/static/www.aimetatorino2013.it/it/default.html
related_url_url: http://www.aimeta.dicam.unibo.it/sites/www.aimeta.dicam.unibo.it/files/static/www.aimetatorino2013.it/cdrom/cdrom_pdf_fullpaper/001930015401.pdf
related_url_type: org
related_url_type: org
citation:   Bacigalupo, Andrea and Gambarotta, Luigi  Dispersive acoustic waves in elastic periodic media: a non-local dynamic homogenization approach.  In: AIMETA 2013 XX congresso dell'Associazione Italiana di Meccanica Teorica e Applicata, September 17-20, 2013, Torino (Italy)       (Unpublished)   (2013)