  A new theory is developed for the magnetoelectric (ME) coupling in a
symmetric 2-2 ME laminate having a representative piezoelectric crystal
(PMN-PT) particularly with anisotropic piezoelectric properties. Considering
the average field method, the theoretical expressions for the transverse ME
voltage coefficients at low and resonance frequencies were derived. The theory
takes into account the anisotropic properties of the piezoelectric materials
providing two different expressions of transverse ME voltage coefficients for
different in-plane magnetic fields both at low and resonance frequencies. The
numerical simulations show multiple resonance frequencies and phase differences
between transverse ME voltage coefficients showing good agreement with the
experimental results. Our theory should be generally applicable to other ME
laminates with any piezoelectric with anisotropic piezoelectric coefficients.
