Nonlinear magneto-mechanical-thermo coupling characteristic analysis for transport behaviors of carriers in composite multiferroic piezoelectric semiconductor nanoplates with surface effect

doi:10.1007/s10483-022-2894-9

Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (9): 1323-1338.doi: https://doi.org/10.1007/s10483-022-2894-9

Nonlinear magneto-mechanical-thermo coupling characteristic analysis for transport behaviors of carriers in composite multiferroic piezoelectric semiconductor nanoplates with surface effect

Wenjun WANG^1,2, Feng JIN^2,3, Tianhu HE¹, Yongbin MA¹

1. School of Science, Lanzhou University of Technology, Lanzhou 730050, China;
2. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China;
3. MOE Key Laboratory for Multifunctional Materials and Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2022-02-11 修回日期:2022-06-13 发布日期:2022-08-31
通讯作者: Wenjun WANG, E-mail: wangwenjun@lut.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 12072253, 11972176, and 12062011), the Doctoral Science Fund of Lanzhou University of Technology of China (No. 062002), and the Opening Project from the State Key Laboratory for Strength and Vibration of Mechanical Structures of China (No. SV2021-KF-19)

Nonlinear magneto-mechanical-thermo coupling characteristic analysis for transport behaviors of carriers in composite multiferroic piezoelectric semiconductor nanoplates with surface effect

Wenjun WANG^1,2, Feng JIN^2,3, Tianhu HE¹, Yongbin MA¹

1. School of Science, Lanzhou University of Technology, Lanzhou 730050, China;
2. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China;
3. MOE Key Laboratory for Multifunctional Materials and Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China

Received:2022-02-11 Revised:2022-06-13 Published:2022-08-31
Contact: Wenjun WANG, E-mail: wangwenjun@lut.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 12072253, 11972176, and 12062011), the Doctoral Science Fund of Lanzhou University of Technology of China (No. 062002), and the Opening Project from the State Key Laboratory for Strength and Vibration of Mechanical Structures of China (No. SV2021-KF-19)

摘要/Abstract

摘要： In this paper, to better reveal the surface effect and the screening effect as well as the nonlinear multi-field coupling characteristic of the multifunctional piezoelectric semiconductor (PS) nanodevice, and to further improve its working performance, a magneto-mechanical-thermo coupling theoretical model is theoretically established for the extensional analysis of a three-layered magneto-electro-semiconductor coupling laminated nanoplate with the surface effect. Next, by using the current theoretical model, some numerical analyses and discussion about the surface effect, the corresponding critical thickness of the nanoplate, and the distributions of the physical fields (including the electron concentration perturbation, the electric potential, the electric field, the average electric displacement, the effective polarization charge density, and the total charge density) under different initial state electron concentrations, as well as their active manipulation via some external magnetic field, pre-stress, and temperature stimuli, are performed. Utilizing the nonlinear multi-field coupling effect induced by inevitable external stimuli in the device operating environment, this paper not only provides theoretical support for understanding the size-dependent tuning/controlling of carrier transport as well as its screening effect, but also assists the design of a series of multiferroic PS nanodevices.

关键词: composite multiferroic piezoelectric semiconductor (PS) nanoplate, nonlinear multi-field coupling characteristic, surface effect, screening effect, active manipulation of carrier transport

Abstract: In this paper, to better reveal the surface effect and the screening effect as well as the nonlinear multi-field coupling characteristic of the multifunctional piezoelectric semiconductor (PS) nanodevice, and to further improve its working performance, a magneto-mechanical-thermo coupling theoretical model is theoretically established for the extensional analysis of a three-layered magneto-electro-semiconductor coupling laminated nanoplate with the surface effect. Next, by using the current theoretical model, some numerical analyses and discussion about the surface effect, the corresponding critical thickness of the nanoplate, and the distributions of the physical fields (including the electron concentration perturbation, the electric potential, the electric field, the average electric displacement, the effective polarization charge density, and the total charge density) under different initial state electron concentrations, as well as their active manipulation via some external magnetic field, pre-stress, and temperature stimuli, are performed. Utilizing the nonlinear multi-field coupling effect induced by inevitable external stimuli in the device operating environment, this paper not only provides theoretical support for understanding the size-dependent tuning/controlling of carrier transport as well as its screening effect, but also assists the design of a series of multiferroic PS nanodevices.

Key words: composite multiferroic piezoelectric semiconductor (PS) nanoplate, nonlinear multi-field coupling characteristic, surface effect, screening effect, active manipulation of carrier transport

中图分类号:

Wenjun WANG, Feng JIN, Tianhu HE, Yongbin MA. Nonlinear magneto-mechanical-thermo coupling characteristic analysis for transport behaviors of carriers in composite multiferroic piezoelectric semiconductor nanoplates with surface effect[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(9): 1323-1338.

参考文献

[1] WANG, Z. L. and WU, W. Z. Piezotronics and piezo-phototronics:fundamentals and applications. National Science Review, 1, 62-90(2014)
[2] PAN, C. F., ZHAI, J. Y., andWANG, Z. L. Piezotronics and piezo-phototronics of third generation semiconductor nanowires. Chemical Reviews, 119(15), 9303-9359(2019)
[3] TIAN, R., LIU, J. X., PAN, E., WANG, Y. S., and SOH, A, K. Some characteristics of elastic waves in a piezoelectric semiconductor plate. Journal of Applied Physics, 126, 125701(2019)
[4] ZHAO, M. H., PAN, Y. B., FAN, C. Y., and XU, G. T. Extended displacement discontinuity method for analysis of cracks in 2D piezoelectric semiconductors. International Journal of Solids and Structures, 94-95, 50-59(2016)
[5] CHENG, R. R., ZHANG, C. L., CHEN, W. Q., and YANG, J. S. Electrical behaviors of a piezoelectric semiconductor fiber under a local temperature change. Nano Energy, 66, 104081(2019)
[6] CHENG, R. R., ZHANG, C. L., ZHANG, C. Z., and CHEN, W. Q. Magnetically controllable piezotronic responses in a composite semiconductor fiber with multiferroic coupling effects. Physica Status Solidi A, 217, 1900621(2020)
[7] KONG, D. J., CHENG, R. R., ZHANG, C. L., and ZHANG, C. Z. Dynamic manipulation of piezotronic behaviors of composite multiferroic semiconductors through time-dependent magnetic field. Journal of Applied Physics, 128, 064503(2020)
[8] DAI, X. Y., ZHU, F., QIAN, Z. H., and YANG, J. S. Electric potential and carrier distribution in a piezoelectric semiconductor nanowire in time-harmonic bending vibration. Nano Energy, 43, 22-28(2018)
[9] WANG, G. L., LIU, J. X., LIU, X. L., FENG, W. J., and YANG, J. S. Extensional vibration characteristics and screening of polarization charges in a ZnO piezoelectric semiconductor nanofiber. Journal of Applied Physics, 124, 094502(2018)
[10] LI, P., JIN, F., and YANG, J. S. Effects of semiconduction on electromechanical energy conversion in piezoelectrics. Smart Materials and Structures, 24, 025021(2015)
[11] LI, P., JIN, F., and MA, J. X. One-dimensional dynamic equations of a piezoelectric semiconductor beam with a rectangular cross section and their application in static and dynamic characteristic analysis. Applied Mathematics and Mechanics (English Edition), 39(5), 685-702(2018) https://doi.org/10.1007/s10483-018-2325-6
[12] WANG, W. J., LI, P., JIN, F., and WANG, J. Vibration analysis of piezoelectric ceramic circular nanoplates considering surface and nonlocal effects. Composite Structures, 140, 758-775(2016)
[13] WANG, W. J., LI, P., and JIN, F. Two-dimensional linear elasticity theory of magneto-electroelastic plates considering surface and nonlocal effects for nanoscale device applications. Smart Materials and Structures, 25, 095026(2016)
[14] ZHANG, C. L., ZHANG, L. L., SHEN, X. D., and CHEN, W. Q. Enhancing magnetoelectric effect in multiferroic composite bilayers via flexoelectricity. Journal of Applied Physics, 119, 134102(2016)
[15] WANG, W. J., LI, P., and JIN, F. An analytical model for the broadband magnetic energy nanoharvester array with consideration of the flexoelectricity and surface effect. Journal of Physics D:Applied Physics, 51, 155304(2018)
[16] WANG, W. J., LI, P., and JIN, F. Magneto-mechanical coupling characteristic analysis of a magnetic energy nanoharvester with surface effect. Applied Mathematical Modelling, 77, 17621779(2020)
[17] SHI, S. H., LI, P., and JIN, F. The mechanical analysis of thermo-magneto-electric laminated composites in nanoscale with the consideration of surface and flexoelectric effects. Smart Materials and Structures, 27, 015018(2018)
[18] WANG, B., GU, Y. J., ZHANG, S. J., and CHEN, L. Q. Flexoelectricity in solids:progress, challenges, and perspectives. Progress in Materials Science, 106, 100570(2019)
[19] WANG, L. F., LIU, S. H., FENG, X. L., ZHANG, C. L., ZHU, L. P., ZHAI, J. Y., QIN, Y., and WANG, Z. L. Flexoelectronics of centrosymmetric semiconductors. Nature Nanotechnology, 15, 661-667(2020)
[20] SUN, L., ZHU, L. F., ZHANG, C. L., CHEN, W. Q., and WANG, Z. L. Mechanical manipulation of silicon-based schottky diodes via flexoelectricity. Nano Energy, 83, 105855(2021)
[21] QU, Y. L., JIN, F., and YANG, J. S. Effects of mechanical fields on mobile charges in a composite beam of flexoelectric dielectrics and semiconductors. Journal of Applied Physics, 127, 194502(2020)
[22] QU, Y. L., JIN, F., and YANG, J. S. Magnetically induced charge redistribution in the bending of a composite beam with flexoelectric semiconductor and piezomagnetic dielectric layers. Journal of Applied Physics, 129, 064503(2021)
[23] CHEN, C. Q., SHI, Y., ZHANG, Y. S., ZHU, J., and YAN, Y. J. Size dependence of Young's modulus in ZnO nanowires. Physical Review Letters, 96, 075505(2006)
[24] GURTIN, M. E. and MURDOCH, A. I. Surface stress in solids. International Journal of Solids and Structures, 14, 431-440(1978)
[25] ZHANG, Z. C., LIANG, C., WANG, Y., XU, R. Q., GAO, C. F., and ZHANG, C. L. Static bending and vibration analysis of piezoelectric semiconductor beams considering surface effects. Journal of Vibration Engineering & Technologies, 9, 1789-1800(2021)
[26] ZHENG, X. J. and SUN, L. A nonlinear constitutive model of magneto-thermo-mechanical coupling for giant magnetostrictive materials. Journal of Applied Physics, 100, 063906(2006)
[27] YANG, J. S., YANG, X. M., and TURNER, J. A. Amplification of acoustic waves in laminated piezoelectric semiconductor plates. Archive of Applied Mechanics, 74, 288-298(2004)

Nonlinear magneto-mechanical-thermo coupling characteristic analysis for transport behaviors of carriers in composite multiferroic piezoelectric semiconductor nanoplates with surface effect

Nonlinear magneto-mechanical-thermo coupling characteristic analysis for transport behaviors of carriers in composite multiferroic piezoelectric semiconductor nanoplates with surface effect

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	Yunzhi HUANG, Wenqing ZHENG, Xiuhua CHEN, Miaolin FENG. Analytic solution of quasicrystal microsphere considering the thermoelectric effect and surface effect in the elastic matrix[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(8): 1331-1350.
[2]	Biao HU, Juan LIU, Yuxing WANG, Bo ZHANG, Jing WANG, Huoming SHEN. Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(9): 1339-1354.
[3]	Lele ZHANG, Jing ZHAO, Guoquan NIE, Jinxi LIU. Propagation of Rayleigh-type surface waves in a layered piezoelectric nanostructure with surface effects[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 327-340.
[4]	Ye XIAO, J. SHANG, L. Z. KOU, Chun LI. Surface deformation-dependent mechanical properties of bending nanowires: an ab initio core-shell model[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(2): 219-232.
[5]	Shunzu ZHANG, Qianqian HU, Wenjuan ZHAO. Surface effect on band structure of magneto-elastic phononic crystal nanoplates subject to magnetic and stress loadings[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(2): 203-218.
[6]	Minghao ZHAO, Zelong MA, Chunsheng LU, Qiaoyun ZHANG. Application of the homotopy analysis method to nonlinear characteristics of a piezoelectric semiconductor fiber[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(5): 665-676.
[7]	Zhina ZHAO, Junhong GUO. Surface effects on a mode-III reinforced nano-elliptical hole embedded in one-dimensional hexagonal piezoelectric quasicrystals[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(5): 625-640.
[8]	Denghui QIAN. Electro-mechanical coupling wave propagating in a locally resonant piezoelectric/elastic phononic crystal nanobeam with surface effects[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(3): 425-438.
[9]	H. S. ZHAO, Y. ZHANG, S. T. LIE. Frequency equations of nonlocal elastic micro/nanobeams with the consideration of the surface effects[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(8): 1089-1102.
[10]	Yanmei YUE, Kaiyu XU, Xudong ZHANG, Wenjing WANG. Effect of surface stress and surface-induced stress on behavior of piezoelectric nanobeam[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(7): 953-966.
[11]	F. EBRAHIMI, M. R. BARATI. Dynamic modeling of preloaded size-dependent nano-crystalline nano-structures[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(12): 1753-1772.
[12]	M. AREFI. Surface effect and non-local elasticity in wave propagation of functionally graded piezoelectric nano-rod excited to applied voltage[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(3): 289-302.
[13]	Zixing LU, Fan XIE, Qiang LIU, Zhenyu YANG. Surface effects on mechanical behavior of elastic nanoporous materials under high strain[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(7): 927-938.
[14]	B. AMIRIAN;R. HOSSEINI-ARA;H. MOOSAVI. Surface and thermal effects on vibration of embedded alumina nanobeams based on novel Timoshenko beam model[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(7): 875-886.
[15]	徐晓建;邓子辰. Surface effects of adsorption-induced resonance analysis on micro/nanobeams via nonlocal elasticity[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(1): 37-44.