Analysis of Axially Loaded Piezoelectric Semiconductor Rods with Geometric Nonlinearity

Piezoelectric semiconductor (PS) nanostructures have a huge application potential in flexible electronic devices. We study the nonlinear multi-field coupling mechanical behaviors of axially loaded PS rods by taking the von Kármán type of nonlinear strain–displacement relations into account. The one-dimensional equations for extensional PS rods with the geometric nonlinearity are presented. The analytical solutions for an axially loaded PS rod with open-circuit and electrically isolated boundary conditions at the two ends are obtained based on the classical perturbation method. The zeroth-order perturbation solution is exactly the same as the linearized solution. The influences of the first- and second-order solutions on the multi-field coupling responses of the PS rods under different axial loads are investigated.