%0 Journal Article %9 Working Paper %@ 0964-1726 %A De Bellis, Maria Laura %A Bacigalupo, Andrea %D 2017 %F eprints:3675 %I IOPScience %J Smart Materials and Structures %N 8 %P 085037 %T Auxetic behavior and acoustic properties of microstructured piezoelectric strain sensors %U http://eprints.imtlucca.it/3675/ %V 26 %X The use of multifunctional composite materials adopting piezo-electric periodic cellular lattice structures with auxetic elastic behavior is a recent and promising solution in the design of piezoelectric sensors. In the present work, periodic anti-tetrachiral auxetic lattice structures, characterized by different geometries, are taken into account and the mechanical and piezoelectrical response are investigated. The equivalent piezoelectric properties are obtained adopting a first order computational homogenization approach, generalized to the case of electro-mechanical coupling, and various polarization directions are adopted. Two examples of in-plane and out-of-plane strain sensors are proposed as design concepts. Moreover, a piezo-elasto-dynamic dispersion analysis adopting the Floquet–Bloch decomposition is performed. The acoustic behavior of the periodic piezoelectric material with auxetic topology is studied and possible band gaps are detected.