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Bending of a Cantilever Piezoelectric Semiconductor Fiber Under an End Force

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Book cover Generalized Models and Non-classical Approaches in Complex Materials 2

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 90))

Abstract

This paper presents a theoretical analysis on the bending and shear of a cantilever ZnO piezoelectric semiconductor fiber under a transverse end force. The phenomenological theory of piezoelectric semiconductors consisting of Newton’s second law of motion, the charge equation of electrostatics, and the conservation of charge of electrons and holes is used. The equations are linearized for a small end force and small electromechanical fields as well as small carrier concentration perturbations. A first-order, one-dimensional theory for the bending of ZnO fibers with shear deformation is derived from the linearized three-dimensional equations. An analytical solution is obtained. The electromechanical fields and carrier concentrations are calculated. It is found that the electric potential is nearly constant along the fiber except near the fixed end of the cantilever, and that the electron distribution over a cross section is due to the transverse shear force and the piezoelectric constant e24.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 11202182, 11272281 and 11321202).

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Authors and Affiliations

  1. Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China

    Chunli Zhang, Xiaoyuan Wang & Weiqiu Chen

  2. Department of Mechanical and Materials Engineering, The University of Nebraska-Lincoln, Lincoln, NE, 68588-0526, USA

    Jiashi Yang

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  1. Chunli Zhang
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  2. Xiaoyuan Wang
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  3. Weiqiu Chen
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  4. Jiashi Yang
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Corresponding author

Correspondence to Chunli Zhang .

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Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

    Holm Altenbach

  2. Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond d’Alembert, Sorbonne Université, Paris, France

    Joël Pouget

  3. Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond d’Alembert, Sorbonne Université, Paris, France

    Martine Rousseau

  4. Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond d’Alembert, Sorbonne Université, Paris, France

    Bernard Collet

  5. Centre National de la Recherche Scientifique, UMR 7190, Institut Jean Le Rond d’Alembert, Sorbonne Université, Paris, France

    Thomas Michelitsch

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Zhang, C., Wang, X., Chen, W., Yang, J. (2018). Bending of a Cantilever Piezoelectric Semiconductor Fiber Under an End Force. In: Altenbach, H., Pouget, J., Rousseau, M., Collet, B., Michelitsch, T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 2. Advanced Structured Materials, vol 90. Springer, Cham. https://doi.org/10.1007/978-3-319-77504-3_13

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  • DOI: https://doi.org/10.1007/978-3-319-77504-3_13

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-77503-6

  • Online ISBN: 978-3-319-77504-3

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