%0 Book Section
%A Bacigalupo, Andrea
%A Gambarotta, Luigi
%B European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)
%D 2012
%F eprints:2528
%I Vienna University of Technology
%K Multi-scale second-order homogenization, periodic material, characteristic  lengths, dispersive waves
%P 1719-1731
%T High-continuity multi-scale static and dynamic modelling of periodic materials
%U http://eprints.imtlucca.it/2528/
%X 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].
%Z ECCOMAS 2012, 6th European Congress on Computational Methods in Applied Sciences and Engineering, Vienna, Austria, 10–14 September 2012