Electro-mechanical responses of flexoelectric bilayer circular nano-plate with surface effect
Source abstract
Abstract
Based on the theory of flexoelectricity in elastic dielectrics and the principle of minimum potential energy, a new theoretical model of bilayer circular nano-plate containing a piezoelectric layer is constructed. This model is used to analyze the effects of external loading, applied voltage, flexoelectric effect, and surface effect on the bending deflection, polarization, and normalized electric potential of the nano-plate. Numerical results indicate that external loading and applied voltage have opposite effects on the radial deflection of the bilayer circular nano-plate, with external loading having a more significant influence on deflection than the flexoelectric effect. Applied voltage also affects the normalized electric potential of the bilayer nano-plate. In the presence of negative surface residual stress, the deflection is mainly influenced by the flexoelectric effect. When the surface residual stress is positive and the ratio of radius to thickness is less than 25, the surface effect dominates the deflection behavior. Additionally, the positive or negative surface residual stress leads to an increase or decrease in polarization. The results provide a theoretical basis for the design of intelligent components containing piezoelectric bilayer circular nano-plates.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Advanced Materials and Mechanics · Force Microscopy Techniques and Applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (28)
Show source-provided references
1. Ansari, R., Gholami, R., Shojaei, M.F., Faghih, M.: Surface stress effect on the vibrational response of circular nanoplates with various edge supports. J. Appl. Mech. 80, 0210212 (2013)10.1115/1.4007255 ↗
2. Bagheri, R., Tadi, B.Y.: On the size-dependent nonlinear dynamics of viscoelastic/flexoelectric nanobeams. J. Vib. Control. 27, 2018–2033 (2021)10.1177/1077546320952225 ↗
3. Eliseev, E.A., Morozovska, A.N., Glinchuk, M.D., Blinc, R.: Spontaneous flexoelectric/flexomagnetic effect in nanoferroics. Phys. Rev. b. 79(16), 897–899 (2009)10.1103/PhysRevB.79.165433 ↗
4. Ghasemi, H., Park, H.S., Rabczuk, T.: A level-set based IGA formulation for topology optimization of flexoelectric materials. Comput. Methods. Appl. Mech. Eng. 313, 239–258 (2017)10.1016/j.cma.2016.09.029 ↗
5. Ghasemi, H., Park, H.S., Alajlan, N., Rabczuk, T.: A computational framework for design and optimization of flexoelectric materials. Int. J. Comput. Methods 15(3), 18850097 (2018)
6. Ghasemi, H., Park, H.S., Zhuang, X.Y., Rabczuk, T.: Three-dimensional isogeometric analysis of flexoelectricity with MATLAB implementation. Comput. Mater. Con. 65(2), 1157–1179 (2020)
7. Gupta, M., Meguid, S.A., Kundalwal, S.I.: Synergistic effect of surface-flexoelectricity on electromechanical response of BN-based nanobeam. Int. J. Mech. Mater. Des. 18, 3–19 (2022)10.1007/s10999-021-09582-6 ↗
8. Gurtin, M.E., Murdoch, A.I.: A continuum theory of elastic material surfaces. Arch. Ration. Mech. an. 57, 291–323 (1975)10.1007/BF00261375 ↗
9. Hamdia, K.M., Ghasemi, H., Zhuang, X.Y., Rabczuk, T.: Multilevel Monte Carlo method for topology optimization of flexoelectric composites with uncertain material properties. Eng. Anal. Bound. Elem. 134, 412–418 (2022)10.1016/j.enganabound.2021.10.008 ↗
10. Hu, S.L., Shen, S.P.: Electric field gradient theory with surface effect for nano-dielectrics. Comput. Mater. Contin. 13(1), 63–87 (2009)
11. Hu, S., Shen, S.: Variational principles and governing equations in nano-dielectrics with the flexoelectric effect. Sci. China Phys. Mech. 53(8), 1497–1504 (2010)10.1007/s11433-010-4039-5 ↗
12. Kundalwal, S.I., Meguid, S.A., Weng, G.J.: Strain gradient polarization in graphene. Carbon 117, 462–472 (2017)10.1016/j.carbon.2017.03.013 ↗
13. Liang, H.T., Hao, G.B., Olszewski, O.Z., Pakrashi, V.: Ultra-low wide bandwidth vibrational energy harvesting using a statically balanced compliant mechanism. Int. J. Mech. Sci. 219, 107130 (2022)10.1016/j.ijmecsci.2022.107130 ↗
14. Liu, C., Rajapakse, R.K.N.D.: A size-dependent continuum model for nanoscale circular plates. IEEE Trans. Nanotechnol. 12(1), 13–20 (2013)10.1109/TNANO.2012.2224880 ↗
15. Sharma, N., Maranganti, R., Sharma, P.: On the possibility of piezoelectric nanocomposites without using piezoelectric materials. J. Mech. Phys. Solids. 55(11), 2328–2350 (2007)10.1016/j.jmps.2007.03.016 ↗
16. Shen, S.P., Hu, S.L.: A theory of flexoelectricity with surface effect for elastic dielectrics. J. Mech. Phys. Solids. 58(5), 665–677 (2010a)10.1016/j.jmps.2010.03.001 ↗
17. Shen, S.P., Hu, S.L.: A theory of flexoelectricity with surface effect for elastic dielectrics. J. Mech. Phys. Solids. 58, 665–677 (2010b)10.1016/j.jmps.2010.03.001 ↗
18. Srinivasa, R.K., Hamza, M., Ashok, K.P., Girija, S.K.: Design and optimization of MEMS based piezoelectric actuator for drug delivery systems. Microsyst. Technol. 26, 1671–1679 (2020)10.1007/s00542-019-04712-9 ↗
19. Toupin, R.A.: Elastic dielectric. Arch. Ration. Mech. Anal. 5(6), 849–915 (1956)
20. Xu, T., Wang, J., Shimada, T., Kitamura, T.: Direct approach for flexoelectricity from first-principles calculations: cases for SrTiO3 and BaTiO3. J. Phys. Condens. Matter. 25, 415901 (2013)10.1088/0953-8984/25/41/415901 ↗
21. Yan, Z.: Size-dependent bending and vibration behaviors of piezoelectric circular nanoplates. Smart Mater Struct 25, 035017 (2016a)10.1088/0964-1726/25/3/035017 ↗
22. Yan, Z.: Size-dependent bending and vibration behaviors of piezoelectric circular nanoplates. Smart. Mater. Struct. 25, 035017 (2016b)10.1088/0964-1726/25/3/035017 ↗
23. Yan, Z., Jiang, L.: Size-dependent bending and vibration behaviour of piezoelectric nanobeams due to flexoelectricity. J. Phys. D. Appl. Phys. 46(35), 355502 (2013)10.1088/0022-3727/46/35/355502 ↗
24. Yang, D.F., Yang, L., Chen, X.Y., Qu, M.J., Zhu, K., Ding, H., Li, D.S., Bai, Y., Ling, J., Xu, J.H., Xie, J.: A piezoelectric AlN MEMS hydrophone with high sensitivity and low noise density. Sens. Actuators. A. 318(1), 112493 (2021)10.1016/j.sna.2020.112493 ↗
25. Zhang, Z.R., Jiang, L.Y.: Size effects on electromechanical coupling fields of a bending piezoelectric nanoplate due to surface effects and flexoelectricity. J. Appl. Phys. 116, 134308 (2014)10.1063/1.4897367 ↗
26. Zhang, R.Z., Liang, X., Shen, S.P.: A Timoshenko dielectric beam model with flexoelectric effect. Meccanica 51, 1181–1188 (2016)10.1007/s11012-015-0290-1 ↗
27. Zhang, R.M., Zhou, S.S., Li, A.Q.: Quality factor of circular microdiaphragm with surface effects in contact with liquids. Math. Mech. Solids. 26(3), 341–355 (2021)10.1177/1081286520954899 ↗
28. Zubko, P., Catalan, G., Tagantsev, A.K.: Flexoelectric in solids. Annu. Rev. Mater. Res. 43, 387–421 (2013)10.1146/annurev-matsci-071312-121634 ↗