eprintid: 2528 rev_number: 8 eprint_status: archive userid: 6 dir: disk0/00/00/25/28 datestamp: 2015-01-20 14:16:03 lastmod: 2015-01-20 14:17:13 status_changed: 2015-01-20 14:16:03 type: book_section metadata_visibility: show creators_name: Bacigalupo, Andrea creators_name: Gambarotta, Luigi creators_id: andrea.bacigalupo@imtlucca.it creators_id: title: High-continuity multi-scale static and dynamic modelling of periodic materials ispublished: pub subjects: TJ divisions: CSA full_text_status: none keywords: Multi-scale second-order homogenization, periodic material, characteristic lengths, dispersive waves note: ECCOMAS 2012, 6th European Congress on Computational Methods in Applied Sciences and Engineering, Vienna, Austria, 10–14 September 2012 abstract: The equations of motion of a second-order continuum representative of a classical heterogeneous periodic material are derived through a variational-asymptotic homogenization technique and the overall elastic moduli and the inertial properties are evaluated. The proposed approach is an extension of a dynamic homogenization method developed by the Authors [9] and [10] which has the aim to improve the accuracy of description of the overall inertial terms and of the dispersive functions. This procedure is applied to the case of elastic layered materials with two orthotropic phases having an orthotropy axis parallel to the layers. To evaluate the reliability of the model the dispersion functions here obtained are compared with those from the analytical model applied to heterogeneous material [1, 2], and with those obtained by the Authors in the previous approach [9]. date: 2012 date_type: published publisher: Vienna University of Technology pagerange: 1719-1731 refereed: TRUE isbn: 978-3-9503537-0-9 book_title: European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) related_url_url: http://eccomas2012.conf.tuwien.ac.at/scientific-programme/programme.html related_url_type: org citation: Bacigalupo, Andrea and Gambarotta, Luigi High-continuity multi-scale static and dynamic modelling of periodic materials. In: European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012). Vienna University of Technology, pp. 1719-1731. ISBN 978-3-9503537-0-9 (2012)