Articles

Interaction between bending and mobile charges in a piezoelectric semiconductor bimorph

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  • 1. Smart Materials and Advanced Structures Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, Zhejiang Province, China;
    2. Office of Human Resources, Taizhou University, Taizhou 318000, Zhejiang Province, China;
    3. Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588-0526, U. S. A

Received date: 2022-01-12

  Revised date: 2022-06-02

  Online published: 2022-07-27

Supported by

the National Natural Science Foundation of China (Nos. 12072167 and 11972199) and the Natural Science Foundation of Zhejiang Province of China (Nos. LZ22A020001 and LGG19A020001)

Abstract

We study the bending of a two-layer piezoelectric semiconductor plate (bimorph). The macroscopic theory of piezoelectric semiconductors is employed. A set of two-dimensional plate equations is derived from the three-dimensional equations. The plate equations exhibit direct couplings among bending, electric polarization along the plate thickness, and mobile charges. In the case of pure bending, a combination of physical and geometric parameters is identified which characterizes the strength of the interaction between the mechanical load and the distribution of mobile charges. In the bending of a rectangular plate under a distributed transverse mechanical load, it is shown that mobile charge distributions and potential barriers/wells develop in the plate. When the mechanical load is local and self-balanced, the induced carrier distributions and potential barriers/wells are also localized near the loading area. The results are fundamentally useful for mechanically manipulating mobile charges in piezoelectric semiconductor devices.

Cite this article

Lei YANG, Jianke DU, J. S. YANG . Interaction between bending and mobile charges in a piezoelectric semiconductor bimorph[J]. Applied Mathematics and Mechanics, 2022 , 43(8) : 1171 -1186 . DOI: 10.1007/s10483-022-2889-7

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