Angle dependence of the piezoelectric displacement along the driving electric field was calculated near the morphotropic phase boundary in the perovskite-type oxide family on the basis of the Landau-Devonshire type free energy function. It was found that the piezoelectric displacement in the tetragonal phase near the morphotropic phase boundary takes a maximum when the field is applied along the [111] direction, while the piezoelectric displacement in the rhombohedral phase takes a maximum in the direction, which depends on the values of the elastic and electrostrictive constants. In both phases the piezoelectric displacements are strongly enhanced near the morphotropic phase boundary.
Anisotropy of Piezoelectricity near Morphotropic Phase Boundary in Perovskite-Type Oxide Ferroelectrics
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