Uniform fields and universal relations in piezoelectric composites

Abstract Binary piezoelectric composites with unidirectional fibers are considered. The phase boundaries are cylindrical but otherwise the microgeometry is totally arbitrary. The constituents are transversely isotropic. The existence of uniform fields which can be generated by the application of certain mechanical and electrical boundary conditions in such composites is established. The results are used to derive universal relations for the pointwise fields as well as for the effective piezoelectric constants of such composites.