Chiral effects in piezoelectricity

•The deformation of isotropic chiral piezoelectric materials is investigated.•A solution of Boussinesq-Somigliana-Galerkin type is derived.•The fundamental solutions of the field equations are established.•Representations of Somigliana type are presented.

This paper is concerned with the linear theory of piezoelectricity for Cosserat continua. The deformation of homogeneous and isotropic chiral materials is investigated. First, a counterpart of the Boussinesq-Somigliana-Galerkin solution in the classical elastostatics is presented. Then, the fundamental solutions in the stationary theory are established. In contrast with the case of achiral solids, in the theory of isotropic chiral materials the displacement and microrotation fields are coupled with the electric field.