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Application of the homopoty analysis method to nonlinear characteristics of a piezoelectric semiconductor fiber

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Abstract

Based on the nonlinear constitutive equation, a piezoelectric semiconductor (PSC) fiber under axial loads and Ohmic contact boundary conditions is investigated. The analytical solutions of electromechanical fields are derived by the homopoty analysis method (HAM), indicating that the HAM is efficient for the nonlinear analysis of PSC fibers, along with a rapid rate of convergence. Furthermore, the nonlinear characteristics of electromechanical fields are discussed through numerical results. It is shown that the asymmetrical distribution of electromechanical fields is obvious under a symmetrical load, and the piezoelectric effect is weakened by an applied electric field. With the increase in the initial carrier concentration, the electric potential decreases, and owing to the screening effect of electrons, the distribution of electromechanical fields tends to be symmetrical.

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Author information

Authors and Affiliations

  1. School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou, 450001, China

    Minghao Zhao, Zelong Ma & Qiaoyun Zhang

  2. School of Mechanical Engineering, Zhengzhou University, Zhengzhou, 450001, China

    Minghao Zhao

  3. Henan Key Engineering Laboratory for Anti-Fatigue Manufacturing Technology, Zhengzhou University, Zhengzhou, 450001, China

    Minghao Zhao & Qiaoyun Zhang

  4. School of Civil and Mechanical Engineering, Curtin University, Perth, 6845, Australia

    Chunsheng Lu

Authors
  1. Minghao Zhao
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  2. Zelong Ma
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  3. Chunsheng Lu
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  4. Qiaoyun Zhang
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Correspondence to Qiaoyun Zhang.

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Project supported by the National Natural Science Foundation of China (Nos. 11702251 and 12002316)

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Zhao, M., Ma, Z., Lu, C. et al. Application of the homopoty analysis method to nonlinear characteristics of a piezoelectric semiconductor fiber. Appl. Math. Mech.-Engl. Ed. 42, 665–676 (2021). https://doi.org/10.1007/s10483-021-2726-5

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  • DOI: https://doi.org/10.1007/s10483-021-2726-5

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Chinese Library Classification

2010 Mathematics Subject Classification

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