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Precipitation hardening is a heat treatment well known to enhance the mechanical properties of metals by introducing precipitation particles in the microstructure. However, this technique can also be applied to ferroelectric crystals, as recent studies have shown [2,3]. As an alternative to doping, it effectively reduces domain wall mobility as well as heat dissipation and by that enhancing the mechanical quality factor of ferroelectric materials. Determining the optimal shape and size of the precipitates is the key question of our research with the goal to improve the efficiency of ferroelectric material. Our work is based on a phase field approach to simulate the evolution of domains in ferroelectric material [1]. The pinning effect of precipitates on domain walls is analyzed by introducing elliptical and spline-shaped precipitates in the material. This allows to determine favorable shapes of precipitates. For the computation of the multiscale problem, we make use of the open source finite element library of the FEniCS Project.
[1] Bohnen, M., Müller, R. (2023) Simulation of precipitate hardening in ferroelectric material. Proceedings in Applied Mathematics and Mechanics, 23, e202300215.
L. Siebert, T. Jeschek, B. Zeller-Plumhoff, Robert Roszak, R. Adelung, M. Ziegenhorn "Mechanical Interactions in Interpenetrating Composites" 5th International Conference on Nanotechnologies and Biomedical Engineering : Proceedings of ICNBME-2021, November 3-5, 2021, Chisinau, Moldova, Springer, 2022 - s. 579-586
https://doi.org/10.1002/pamm.202300215
[2] Zhao, C. et al. (2022). Coherent Precipitates with Strong Domain Wall Pinning in Alkaline Niobate Ferroelectrics. Advanced Materials 34(38), 2202379.
L. Siebert, T. Jeschek, B. Zeller-Plumhoff, Robert Roszak, R. Adelung, M. Ziegenhorn "Mechanical Interactions in Interpenetrating Composites" 5th International Conference on Nanotechnologies and Biomedical Engineering : Proceedings of ICNBME-2021, November 3-5, 2021, Chisinau, Moldova, Springer, 2022 - s. 579-586
https://doi.org/10.1002/adma.202202379
[3] Zhao, C., Benčan, A., Bohnen, M. et al. (2024) Impact of stress-induced precipitate variant selection on anisotropic electrical properties of piezoceramics. Nat Commun 15, 10327. \linebreak https://doi.org/10.1038/s41467-024-54230-0
