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

doi:10.1007/s10483-021-2726-5

Abstract

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 homotopy 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.

Key words: piezoelectric semiconductor (PSC) fiber, homotopy analysis method (HAM), nonlinear analysis, asymmetrical distribution, screening effect

2010 MSC Number:

Minghao ZHAO, Zelong MA, Chunsheng LU, Qiaoyun ZHANG. Application of the homotopy analysis method to nonlinear characteristics of a piezoelectric semiconductor fiber. Applied Mathematics and Mechanics (English Edition), 2021, 42(5): 665-676.

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