A Piezoelectric Material with Inverse Polarization and Maxwell–Wagner Relaxation of Layers in a Variable Electric Field

Analytical solutions for the effective constants of a transversely isotropic piezoelectric material with inverse polarization of one-type layers with account of conductivity and Maxwell–Wagner relaxation are derived. The composite is homogeneous in its elastic and dielectric properties, but is inhomogeneous in the piezomechanical ones. A numerical analysis of unique concentration and frequency dependences of the real and imaginary parts of effective constants of a composite made from a polymeric piezoelectric material PVF is carried out, and new effects are revealed to exist: a significant increase in Young’s modulus along the normal to layers and in the dielectric permeability, negative values of Poisson ratio in tension along the normal, and an increase in absolute values of the main piezoelectric moduli.