Abstract
Domain engineered rhombohedral relaxor ferroelectric single crystals of PIN-PMN-PT have stable domain structures that increase the piezoelectric constants and reduce dielectric loss, yet modeling the energetics of the domain formation and evolution has proven challenging. In this work a 10th order Landau-Devonshire energy function has been developed that reproduces the dielectric, piezoelectric and ferroelectric properties of PIN-PMN-PT with a composition in the rhombohedral phase near MPB. The coercive field was used to set the saddle points in the energy function governing homogeneous polarization switching. The energy function was implemented in a phase field model to simulate domain wall formation and domain evolution under applied field. The domain wall motion reduces the coercive field in the heterogeneous switching case compared to the homogeneous switching case.
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