We theoretically study the electromechanical behaviors of a laminated thin-film piezoelectric semiconductor (PS) composite plate with flexural deformation. The nonlinear equations for drift currents of electrons and holes are linearized for a small carrier concentration perturbation. Following the structural theory systemized by R. D. Mindlin, a system of two-dimensional (2D) equations for the laminated thin-film PS plate, including the lowest order coupled extensional and flexural motion, are presented by expanding the displacement, potential, and the incremental concentration of electrons and holes as power series of the plate thickness. Based on the derived 2D equations, the analytical expressions of the electromechanical fields and distribution of electrons in the thin-film PS plate with an n-type ZnO layer subjected to a static bending are presented. The numerical results show that the electromechanical behaviors and piezotronic effects can be effectively controlled by the external applied force and initial concentration of carriers. The derived 2D equations and numerical results in this paper are helpful for developing piezotronic devices.
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Research-Article
Piezotronic Effect of a Thin Film With Elastic and Piezoelectric Semiconductor Layers Under a Static Flexural Loading
Yixun Luo,
Yixun Luo
Department of Engineering Mechanics,
Hangzhou, Zhejiang 310027,
e-mail: lyx_zane@zju.edu.cn
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
e-mail: lyx_zane@zju.edu.cn
Search for other works by this author on:
Chunli Zhang,
Chunli Zhang
1
Department of Engineering Mechanics,
Hangzhou, Zhejiang 310027,
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
;Soft Matter Research Center (SMRC),
Hangzhou, Zhejiang 310027,
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
;Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province,
Hangzhou, Zhejiang 310027,
e-mail: zhangcl01@zju.edu.cn
Hangzhou, Zhejiang 310027,
China
e-mail: zhangcl01@zju.edu.cn
1Corresponding authors.
Search for other works by this author on:
Weiqiu Chen,
Weiqiu Chen
Department of Engineering Mechanics,
Hangzhou, Zhejiang 310027,
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
;Soft Matter Research Center (SMRC),
Hangzhou, Zhejiang 310027,
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
;Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province,
Hangzhou, Zhejiang 310027,
e-mail: chenwq@zju.edu.cn
Hangzhou, Zhejiang 310027,
China
e-mail: chenwq@zju.edu.cn
Search for other works by this author on:
Jiashi Yang
Jiashi Yang
1
Department of Engineering Mechanics,
Hangzhou, Zhejiang 310027,
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
;Department of Mechanical and Materials Engineering,
Lincoln, NE 68588-0526
e-mail: jyang1@unl.edu
The University of Nebraska-Lincoln
,Lincoln, NE 68588-0526
e-mail: jyang1@unl.edu
1Corresponding authors.
Search for other works by this author on:
Yixun Luo
Department of Engineering Mechanics,
Hangzhou, Zhejiang 310027,
e-mail: lyx_zane@zju.edu.cn
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
e-mail: lyx_zane@zju.edu.cn
Chunli Zhang
Department of Engineering Mechanics,
Hangzhou, Zhejiang 310027,
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
;Soft Matter Research Center (SMRC),
Hangzhou, Zhejiang 310027,
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
;Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province,
Hangzhou, Zhejiang 310027,
e-mail: zhangcl01@zju.edu.cn
Hangzhou, Zhejiang 310027,
China
e-mail: zhangcl01@zju.edu.cn
Weiqiu Chen
Department of Engineering Mechanics,
Hangzhou, Zhejiang 310027,
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
;Soft Matter Research Center (SMRC),
Hangzhou, Zhejiang 310027,
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
;Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province,
Hangzhou, Zhejiang 310027,
e-mail: chenwq@zju.edu.cn
Hangzhou, Zhejiang 310027,
China
e-mail: chenwq@zju.edu.cn
Jiashi Yang
Department of Engineering Mechanics,
Hangzhou, Zhejiang 310027,
Zhejiang University
,Hangzhou, Zhejiang 310027,
China
;Department of Mechanical and Materials Engineering,
Lincoln, NE 68588-0526
e-mail: jyang1@unl.edu
The University of Nebraska-Lincoln
,Lincoln, NE 68588-0526
e-mail: jyang1@unl.edu
1Corresponding authors.
Contributed by the Applied Mechanics Division of ASME for publication in the Journal of Applied Mechanics. Manuscript received December 2, 2018; final manuscript received January 10, 2019; published online March 5, 2019. Assoc. Editor: Haleh Ardebili.
J. Appl. Mech. May 2019, 86(5): 051003 (13 pages)
Published Online: March 5, 2019
Article history
Received:
December 2, 2018
Revision Received:
January 10, 2019
Accepted:
January 11, 2019
Citation
Luo, Y., Zhang, C., Chen, W., and Yang, J. (March 5, 2019). "Piezotronic Effect of a Thin Film With Elastic and Piezoelectric Semiconductor Layers Under a Static Flexural Loading." ASME. J. Appl. Mech. May 2019; 86(5): 051003. https://doi.org/10.1115/1.4042573
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