Abstract
Based on the mechanical motion equation, Gauss’s law, and the current continuity condition, we study a few typical transient effects in a piezoelectric semiconductor (PS) fiber to realize the startup and turning-off functions of common piezotronic devices. In this study, the transient extensional vibration induced by a suddenly applied axial time-dependent force is examined in a cantilevered n-type ZnO nanofiber. Neither the magnitude of the loadings nor the doping concentration significantly affects the propagation caused by disturbance of the axial displacement. However, both of the factors play an important role in the propagation caused by disturbance of the electron concentrations. This indicates that the electromechanical coupling effect can be expected to directly determine the electronic performance of the devices. In addition, the assumption of previous simplified models which neglect the charge carriers in Gauss’s law is discussed, showing that this assumption has a little influence on the startup state when the doping concentration is smaller than 1021 m−3. This suggests that the screening effect of the carriers on the polarized electric field is much reduced in this situation, and that the state is gradually transforming into a pure piezoelectric state. Nevertheless, the carriers can provide a damping effect, which means that the previous simplified models do not sufficiently describe the turning-off state. The numerical results show that the present study has referential value with respect to the design of newly multifunctional PS devices.
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Acknowledgment
We would like to sincerely thank Professor Jiashi YANG at the University of Nebraska and Professor Yuantai HU at Huazhong University of Science and Technology for their helpful discussion and suggestions.
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Citation: YANG, W. L. and LIANG, Y. X. Typical transient effects in a piezoelectric semiconductor nanofiber under a suddenly applied axial time-dependent force. Applied Mathematics and Mechanics (English Edition), 42(8), 1095–1108 (2021) https://doi.org/10.1007/s10483-021-2761-9
Project supported by the National Natural Science Foundation of China (No. 11972164) and the Key Laboratory Project of Hubei Province of China (No. 2016CFA073)
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Yang, W., Liang, Y. Typical transient effects in a piezoelectric semiconductor nanofiber under a suddenly applied axial time-dependent force. Appl. Math. Mech.-Engl. Ed. 42, 1095–1108 (2021). https://doi.org/10.1007/s10483-021-2761-9
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DOI: https://doi.org/10.1007/s10483-021-2761-9