Analysis of a Non-Uniform Piezoelectric Semiconductor ROD Under Static Extension

We present a one-dimensional model for a piezoelectric semiconductor (PS) rod with varying cross section subject to an axial loading. Using the linearized method, we obtain exact solutions for an n-type PS rod under static extension. Based on the obtained solutions, the effect of the initial concentration of electrons, the axial force, and the radius ratio of two cross sections at the two ends on the redistribution of electrons in the ZnO rod is investigated. Numerical results show that there are a larger variation of electrons near the two ends of the rod, and the piezotronic effect in the PS rod can be controlled through applying an axial force as well as changing the initial concentration of carriers and geometric shape of PS rods.