  The focus of the article is on the analysis of effective elastic properties
of planar Solid Oxide Fuell Cell (SOFC) devices. An ideal periodic
multi-layered composite (SOFC-like) reproducing the overall properties of
multi-layer SOFC devices is defined. Adopting a non-local dynamic
homogenization method, explicit expressions for overall elastic moduli and
inertial terms of this material are derived in terms of micro-fluctuation
functions. These micro-fluctuation function are then obtained solving the cell
problems by means of finite element techniques. The effects of the temperature
variation on overall elastic and inertial properties of the fuel cells are
studied. Dispersion relations for acoustic waves in SOFC-like multilayered
materials are derived as functions of the overall constants, and the results
obtained by the proposed computational homogenization approach are compared
with those provided by rigorous Floquet-Boch theory. Finally, the influence of
the temperature and of the elastic properties variation on the Bloch spectrum
is investigated.
