eprintid: 3790 rev_number: 7 eprint_status: archive userid: 69 dir: disk0/00/00/37/90 datestamp: 2017-09-18 12:42:34 lastmod: 2017-09-18 12:42:34 status_changed: 2017-09-18 12:42:34 type: conference_item metadata_visibility: show creators_name: Bacigalupo, Andrea creators_name: Lepidi, Marco creators_id: andrea.bacigalupo@imtlucca.it creators_id: title: A lumped mass beam model for the wave propagation in anti-tetrachiral periodic lattices ispublished: pub subjects: T1 subjects: TA divisions: CSA full_text_status: none pres_type: paper abstract: The engineered class of periodic anti-tetrachiral materials is mainly characterized by the unusual macroscopic property of a negative Poisson’s ratio. The auxetic behavior of the material depends on the geometric and elastic features of the microstructure. In particular, the material symmetries of the periodic cell govern the quadratic or orthotropic symmetry of the first-order elastic tensor (i.e. auxetic quadratic or auxetic orthotropy). Under the assumption of uniform mass density and elastic properties, one or the other case can be realized by a square or rectangular microstructure, respectively. A beam lattice model with lumped masses is employed to analyse the effects of different, usually small-valued, geometric and elastic parameters of the high- and low-frequency dispersion curves and band gaps characterizing the free wave propagation. date: 2015 date_type: published publisher: AIMETA pagerange: 542-551 event_title: 22° Conference of the Italian association of theoretical and applied mechanics AIMETA2015 event_location: Genova, Italy event_dates: September 14-17, 2015 event_type: conference refereed: TRUE isbn: 978-88-97752-55-4 book_title: Prodeedings of the 22° Conference of the Italia association of theoretical and applied mechanics - AIMETA2015 official_url: http://www.aimeta2015.dicam.unibo.it/sites/www.aimeta2015.dicam.unibo.it/files/memorie_estese_Aimeta2015-3.pdf citation: Bacigalupo, Andrea and Lepidi, Marco A lumped mass beam model for the wave propagation in anti-tetrachiral periodic lattices. In: 22° Conference of the Italian association of theoretical and applied mechanics AIMETA2015, September 14-17, 2015, Genova, Italy pp. 542-551. ISBN 978-88-97752-55-4. (2015)