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

• Articles • Previous Articles     Next Articles

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

Wenjun WANG1,2, Feng JIN2,3, Tianhu HE1, Yongbin MA1   

  1. 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)

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

2010 MSC Number: 

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