Dynamic Electroactive Metamaterials with Flexoelectric and Piezoelectric Microstructures

Abstract

We consider periodic microstructures composed of flexoelectric, or piezoelectric materials and involving electrodes which enable for control of the response due to the electromechanical transmission and tunable external electric circuits. The asymptotic homogenization is employed to derive models describing the effective properties of such metamaterials. Piezoelectric or dielectric materials with a weak flexoelectric property, constituting the skeleton ofgeneral periodic porous structures enable to generate the strain gradients. Using the asymptotic homogenization, it is shown that effective behaviour of such materials is piezoelectric, whereby the homogenized piezoelectric coefficients are computed using the characteristic responses of the flexoelectric microstructure.