eprintid: 2542
rev_number: 7
eprint_status: archive
userid: 6
dir: disk0/00/00/25/42
datestamp: 2015-01-21 09:25:51
lastmod: 2015-01-21 09:25:51
status_changed: 2015-01-21 09:25:51
type: article
metadata_visibility: show
creators_name: Bacigalupo, Andrea
creators_name: Gambarotta, Luigi
creators_id: andrea.bacigalupo@imtlucca.it
creators_id: 
title: A micropolar model for the analysis of dispersive waves in chiral mass-in-mass lattices
ispublished: pub
subjects: TJ
divisions: CSA
full_text_status: public
keywords: Auxetic materials; Chirality; Cellular materials; Mass-in-mass dynamic systems; Dispersive waves
abstract: The possibility of obtaining band gap structures in chiral auxetic lattices is here considered and applied to the case of inertial locally resonant structures. These periodic materials are modelled as beam-lattices made up of a periodic array of rigid rings, each one connected to the others through elastic slender ligaments. To obtain low-frequency stop bands, elastic circular resonating inclusions made up of masses located inside the rings and connected to them through an elastic surrounding interface are considered and modeled. The equations of motion are obtained for an equivalent homogenized micropolar continuum and the overall elastic moduli and the inertia terms are given for both the hexachiral and the tetrachiral lattice. The constitutive equation of the beam lattice given by the Authors [15] are then applied and a system of six equations of motion is obtained. The propagation of plane waves travelling along the direction of the lines connecting the ring centres of the lattice is analysed and the secular equation is derived, from which the dispersive functions may be obtained.
date: 2014
publication: Frattura ed Integrità Strutturale
volume: 29
publisher: Gruppo Italiano Frattura
pagerange: 1-8
id_number: 10.3221/IGF-ESIS.29.01
refereed: TRUE
issn: 1971-8993
official_url: http://www.fracturae.com/index.php/fis/article/view/IGF-ESIS.29.01
citation:   Bacigalupo, Andrea and Gambarotta, Luigi  A micropolar model for the analysis of dispersive waves in chiral mass-in-mass lattices.  Frattura ed Integrità Strutturale, 29.  pp. 1-8.  ISSN 1971-8993      (2014)  
document_url: http://eprints.imtlucca.it/2542/1/Bagicalupo_2014.pdf