Modelling of the vertical deflection of ferroelectric bending tongues loaded at their free end
Source abstract
Abstract
In this work, a model to describe the vertical deflection of ferroelectric bending tongues with a load at their free end is proposed. The model is based on the ferroelectric switching criterion developed by Hwang et al. [“Ferroelectric/ferroelastic interactions and a polarization switching model,” Acta Metall. Mater. 43, 2073–2084 (1995)] and the Euler-Bernoulli beam theory. It notably takes into account the geometry of the bending tongue, the mechanical and piezoelectric material properties, the applied electrical field, the crystallographic state of the ferroelectric thin film and its built-in strain. Hwang’s model is improved by incorporating strain saturation at high field, as expected for the butterfly loop. This allows accurate estimates of the vertical deflection for ferroelectric bending tongue based applications.
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Research context
OpenAlex topics: Acoustic Wave Resonator Technologies · Ultrasonics and Acoustic Wave Propagation · Vibration and Dynamic Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Institute of Materials Science, Technische Universität Darmstadt 1 , Alarich-Weiss-Straße 2, 64287 Darmstadt, Germany
Institute of Electromechanical Design, Technische Universität Darmstadt 2 , Merckstraße 25, 64283 Darmstadt, Germany
Materials Research Institute, Pennsylvania State University 3 , University Park, Pennsylvania 16802, USA
Department of Materials Science and Engineering, Norwegian University of Science and Technology 4 , NO-7491 Trondheim, Norway
Funding
EIT Raw Materials IDS-FunMat-Inno · German Research Foundation · Open Access Publishing Fund of Technische Universität Darmstadt · Deutsche Forschungsgemeinschaft
References (37)
Show source-provided references
1. Thin film piezoelectrics for MEMS10.1023/b:jecr.0000033998.72845.51 ↗
2. The constituent equations of piezoelectric multilayer bending actuators in closed analytical form and experimental results10.1016/j.sna.2005.11.034 ↗
3. 2007
4. Phase-field method of phase transitions/domain structures in ferroelectric thin films: A review10.1111/j.1551-2916.2008.02413.x ↗
5. Continuum thermodynamics of ferroelectric domain evolution: Theory, finite element implementation, and application to domain wall pinning10.1016/j.jmps.2006.07.006 ↗
6. Phase field simulation and experimental investigation of the electro-mechanical behavior of ferroelectrics10.1002/zamm.200900344 ↗
7. A constitutive model for ferroelectric polycrystals10.1016/s0022-5096(98)00122-7 ↗
8. Ferroelectric/ferroelastic interactions and a polarization switching model10.1016/0956-7151(94)00379-v ↗
9. The simulation of switching in polycrystalline ferroelectric ceramics10.1063/1.368219 ↗
10. On the potential energy of a piezoelectric inclusion and the criterion for ferroelectric switching10.1080/00150199708008603 ↗
11. Micromechanics simulation of ferroelectric polarization switching10.1016/s1359-6454(97)00008-6 ↗
12. A micro-electro-mechanical model for polarization switching of ferroelectric materials10.1016/s1359-6454(98)00207-9 ↗
13. Study of electrical and mechanical contribution to switching in ferroelectric/ferroelastic polycrystals10.1016/s1359-6454(00)00092-6 ↗
14. Stresses in piezoceramics undergoing polarization switchings10.1063/1.1319164 ↗
15. A micromechanics-based hysteresis model for ferroelectric ceramics10.1106/ck2a-wa5v-27vk-v88e ↗
16. Bending and polarization switching of piezoelectric laminated actuators under electromechanical loading10.1016/j.compstruc.2004.08.025 ↗
17. When is a beam a plate?10.1111/j.1151-2916.1981.tb09595.x ↗
18. 2002 · 125
19. Note on the deflection of beams
20. Distributed piezoelectric-polymer active vibration control of a cantilever beam10.2514/3.20029 ↗
21. On the problem of the reproduction of the true orientation distribution from pole figures10.1016/0001-6160(81)90097-3 ↗
22. Comparison of ferroelectric domain assemblages in Pb(Zr,Ti)O3 thin films and bulk ceramics10.1080/00150199908016457 ↗
23. Epitaxial Pb(Zrx,Ti1−x)O3 (0.30 ≤ x ≤ 0.63) films on (100) MgO substrates for energy harvesting applications10.1063/1.4754015 ↗
24. Piezoelectric nonlinearity due to motion of 180° domain walls in ferroelectric materials at subcoercive fields: A dynamic poling model10.1063/1.2203750 ↗
25. Human energy harvesting based on piezoelectric transduction using MEMS technology
26. 2014 · 21
27. Coercive field of ultrathin Pb(Zr0.52Ti0.48)O3 epitaxial films10.1063/1.1621731 ↗
28. Thermodynamic theory of the lead zirconate-titanate solid solution system, Part V: Theoretical calculations10.1080/00150198908221440 ↗
29. 2007
30. Powder diffraction file (PDF): 01-072-7167
31. Powder diffraction file (PDF): 04-011-7309
32. Thermal properties of PZT-based ferroelectric ceramics10.1134/s1063783406060473 ↗
33. Measurement of Young’s modulus and Poisson’s ratio of thin films by synchrotron x-ray diffraction10.1142/s1793617908000288 ↗
34. Powder diffraction file (PDF): 04-007-6256
35. Euro Inox- The European Stainless Steel Development Association · 2007 · 16
36. 1996
37. FeBeTo - Ferroelectric bending tongues modelling program