TY  - CHAP
KW  - Multi-scale second-order homogenization
KW  -  periodic material
KW  -  characteristic
lengths
KW  -  dispersive waves
T2  - European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)
PB  - Vienna University of Technology
UR  - http://eprints.imtlucca.it/2528/
A1  - Bacigalupo, Andrea
A1  - Gambarotta, Luigi
Y1  - 2012///
SP  - 1719
TI  - High-continuity multi-scale static and dynamic modelling of periodic materials
N2  - 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].
ID  - eprints2528
EP  - 1731
SN  - 978-3-9503537-0-9
AV  - none
N1  - ECCOMAS 2012, 6th European Congress on Computational Methods in Applied Sciences and Engineering, Vienna, Austria, 10?14 September 2012
ER  -