  The dynamic behaviour of periodic thermodiffusive multi-layered media excited
by harmonic oscillations is studied. In the framework of linear thermodiffusive
elasticity, periodic laminates, whose elementary cell is composed by an
arbitrary number of layers, are considered. The generalized Floquet-Bloch
conditions are imposed, and the universal dispersion relation of the composite
is obtained by means of an approach based on the formal solution for a single
layer together with the transfer matrix method. The eigenvalue problem
associated with the dispersion equation is solved by means of an analytical
procedure based on the symplecticity properties of the transfer matrix to which
corresponds a palindromic characteristic polynomial, and the frequency band
structure associated to wave propagating inside the medium are finally derived.
The proposed approach is tested through illustrative examples where
thermodiffusive multilayered structures of interest for renewable energy
devices fabrication are analyzed. The effects of thermodiffusion coupling on
both the propagation and attenuation of Bloch waves in these systems are
investigated in detail.
