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.
Peng Lv and Christopher S. Lynch, "Energetics of domain engineered rhombohedral ferroelectric single crystals," Proc. SPIE 10165, Behavior and Mechanics of Multifunctional Materials and Composites 2017, 101650B (Presented at SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring: March 26, 2017; Published: 11 April 2017); https://doi.org/10.1117/12.2263245.
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