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Study on the flexoelectric characteristics in the sensing element of a duplex frustum pyramid

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Abstract

Recently, many researchers have studied to overcome some disadvantages of conventional sensing mechanisms. And the flexoelectric effect draw great attention as key to enhance the sensor performance especially in micro/nano scale. However, the relatively low flexoelectric effect in macro scale becomes a difficulty to commercialization. In this paper, in order to enhance the performance of sensor using the flexoelectric effect, the sensing element of duplex frustum pyramid is suggested as an alternative to the sensing element of single frustum pyramid. The flexoelectric characteristics for the duplex frustum pyramid, which is made of barium strontium titanate (Ba0.65Sr0.35TiO3 - BST) ceramic, are investigated numerically. If the height, top surface, edge angle and flexoelectric coefficient of the single and duplex frustum pyramids are identical (H = 2 mm, θ = 45°, μ11 = 100 μC/m and a = 1 mm), the total volume of the duplex frustum pyramid is about 60 % of the case of the single frustum one. Moreover, the charge output for the duplex frustum pyramid becomes nearly double of the sensing element of single frustum pyramid. Also, most of charge output develops in the neighborhood of the top and bottom surfaces it is much preferable to use the sensing element of duplex frustum pyramid rather than use the sensing element of single frustum pyramid as long as it is manufacturable.

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References

  1. A. Albarbar, A. Badri, J. K. Sinha and A. Starr, Performance evaluation of MEMS accelerometers, Measurement, 42 (5) (2009) 790–795.

    Article  Google Scholar 

  2. V. Sharapov, Piezoceramic sensors, Springer Science & Business Media (2011).

    Book  Google Scholar 

  3. S. Tadigadapa and K. Mateti, Piezoelectric MEMS sensors: state–of–the–art and perspectives, Measurement Science and Technology, 20 (9) (2009) 092001.

    Article  Google Scholar 

  4. S. M. Kogan, Piezoelectric effect during inhomogeneous deformation and acoustic scattering of carriers in crystals, Sov. Phys. Solid State, 5 (10) (1964) 2069–2070.

    Google Scholar 

  5. X. Jiang, W. Huang and S. Zhang, Flexoelectric nanogenerator: Materials, structures and devices, Nano Energy, 2 (6) (2013) 1079–1092.

    Article  Google Scholar 

  6. W. Huang, K. Kim, S. Zhang, F.–G. Yuan and X. Jiang, Scaling effect of flexoelectric (Ba,Sr)TiO3 microcantilevers, Physica Status Solidi Rapid Research Letters, 5 (9) (2011) 350–352.

    Article  Google Scholar 

  7. L. E. Cross, Flexoelectric effects: Charge separation in insulating solids subjected to elastic strain gradients, Journal of Materials Science, 41 (1) (2006) 53–63.

    Article  Google Scholar 

  8. S. R. Kwon, W. Huang, L. Shu, F.–G. Yuan, J.–P. Maria and X. Jiang, Flexoelectricity in barium strontium titanate thin film, Applied Physics Letters, 105 (14) (2014) 142904.

    Article  Google Scholar 

  9. P. Glynne–Jones, S. Beeby and N. White, A method to determine the ageing rate of thick–film PZT layers, Measurement Science and Technology, 12 (2001) 663.

    Article  Google Scholar 

  10. J. F. Shepard, F. Chu, I. Kanno and S. Trolier–McKinstry, Characterization and aging response of the d31 piezoelectric coefficient of lead zirconate titanate thin films, Journal of Applied Physics, 85 (9) (1999) 6711–6716.

    Article  Google Scholar 

  11. W. Huang, S.–R. Kwon, S. Zhang, F.–G. Yuan and X. Jiang, A trapezoidal flexoelectric accelerometer, Journal of Intelligent Material Systems and Structures, 25 (3) (2014) 271–277.

    Article  Google Scholar 

  12. W. Huang, X. Yan, S. R. Kwon, S. Zhang, F. G. Yuan and X. Jiang, Flexoelectric strain gradient detection using Ba 0.64 Sr 0.36 TiO3 for sensing, Applied Physics Letters, 101 (25) (2012) 252903–252903–252904.

    Article  Google Scholar 

  13. S. Kwon, W. Huang, S. Zhang, F. Yuan and X. Jiang, Flexoelectric sensing using a multilayered barium strontium titanate structure, Smart Materials and Structures, 22 (11) (2013) 115017.

    Article  Google Scholar 

  14. S. R. Kwon, W. Huang, S. Zhang, F.–G. Yuan and X. Jiang, A new type of microphone using flexoelectric barium strontium titnate, SPIE Smart Structures and Materials+ Nondestructive Evaluation and Health Monitoring, International Society for Optics and Photonics (2014) 90620Y–90620Y–90627.

    Google Scholar 

  15. P. Zubko, G. Catalan and A. K. Tagantsev, Flexoelectric effect in solids, Annual Review of Materials Research, 43 (2013) 387–421.

    Article  Google Scholar 

  16. W. Zhu, J. Y. Fu, N. Li and L. Cross, Piezoelectric composite based on the enhanced flexoelectric effects, Applied Physics Letters, 89 (19) (2006) 192904–192904–192903.

    Article  Google Scholar 

  17. W. Ma and L. E. Cross, Observation of the flexoelectric effect in relaxor Pb(Mg1/3Nb2/3)O3 ceramics, Applied Physics Letters, 78 (19) (2001) 2920–2921.

    Article  Google Scholar 

  18. W. Ma and L. E. Cross, Flexoelectric polarization of barium strontium titanate in the paraelectric state, Applied Physics Letters, 81 (18) (2002) 3440–3442.

    Article  Google Scholar 

  19. W. Ma and L. E. Cross, Flexoelectric effect in ceramic lead zirconate titanate, Applied Physics Letters, 86 (7) (2005) 072905–072905–072903.

    Article  Google Scholar 

  20. W. Ma and L. E. Cross, Flexoelectricity of barium titanate, Applied Physics Letters, 88 (23) (2006) 232902–232902–232903.

    Article  Google Scholar 

  21. L. Shu, W. Huang, S. R. Kwon, Z. Wang, F. Li, X. Wei, S. Zhang, M. Lanagan, X. Yao and X. Jiang, Converse flexoelectric coefficient f1212 in bulk Ba0. 67Sr0. 33TiO3, Applied Physics Letters, 104 (23) (2014) 232902.

    Article  Google Scholar 

  22. S. R. Kwon, Structural analysis of truncated pyramids for flexoelectric sensing, Journal of Mechanical Science and Technology, 31 (12) (2017) 5971–5975.

    Article  Google Scholar 

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Correspondence to Seol ryung Kwon.

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Recommended by Associate Editor Woo-Tae Park

Seol ryung Kwon received the Ph.D. degree in mechanical engineering from North Carolina State University in 2014. Currently, she is a post-doctoral fellow in Institute of Mechanical Engineering Technology, Kyungpook National University, Daegu, South Korea. Her major research interests include design and fabrication of flexoelectric sensors, mechatronics and micro manufacturing.

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Kwon, S.r. Study on the flexoelectric characteristics in the sensing element of a duplex frustum pyramid. J Mech Sci Technol 32, 5839–5843 (2018). https://doi.org/10.1007/s12206-018-1132-6

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  • DOI: https://doi.org/10.1007/s12206-018-1132-6

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