A sharp-interface model based on the linear constrained theory of laminates identifies eight distinct rank-2 periodic patterns in tetragonal ferroelectrics. While some of the periodic solutions, such as the herringbone and stripe patterns are commonly observed, others such as the checkerboard pattern consisting of repeating polarization vortices are rarely seen in experiments. The linear constrained theory predicts compatible domain arrangements, but neglects gradient effects at domain walls and misfit stresses due to junctions of domains. Here, we employ a phase-field model to test the stability of the periodic domain patterns with in-plane polarizations, under periodic boundary conditions which impose zero average stress and electric field. The results indicate that domain patterns containing strong disclinations are of high energy and typically unstable in the absence of external stresses or electric fields. The study also provides insight into the internal stresses developed in the various domain patterns.
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ASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
September 21–23, 2015
Colorado Springs, Colorado, USA
Conference Sponsors:
- Aerospace Division
ISBN:
978-0-7918-5729-8
PROCEEDINGS PAPER
Study of Periodic Domain Patterns in Tetragonal Ferroelectrics Using Phase-Field Methods
Ananya Renuka Balakrishna,
Ananya Renuka Balakrishna
University of Oxford, Oxford, UK
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Ingo Muench,
Ingo Muench
Karlsruhe Institute of Technology, Karlsruhe, Germany
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John E. Huber
John E. Huber
University of Oxford, Oxford, UK
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Ananya Renuka Balakrishna
University of Oxford, Oxford, UK
Ingo Muench
Karlsruhe Institute of Technology, Karlsruhe, Germany
John E. Huber
University of Oxford, Oxford, UK
Paper No:
SMASIS2015-8823, V001T02A001; 6 pages
Published Online:
January 11, 2016
Citation
Renuka Balakrishna, A, Muench, I, & Huber, JE. "Study of Periodic Domain Patterns in Tetragonal Ferroelectrics Using Phase-Field Methods." Proceedings of the ASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 1: Development and Characterization of Multifunctional Materials; Mechanics and Behavior of Active Materials; Modeling, Simulation and Control of Adaptive Systems. Colorado Springs, Colorado, USA. September 21–23, 2015. V001T02A001. ASME. https://doi.org/10.1115/SMASIS2015-8823
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