Thermally stimulated nonlinear vibration of rectangular single-layered black phosphorus
Yiqing Zhang, Lifeng Wang
Abstract:Black phosphorus (BP), a novel material with wide potential applications, has recently attracted considerable attention. In this study, the nonlinear thermal vibrational behavior of single-layered BP (SLBP) is investigated using a nonlinear orthotropic plate model (OPM) and molecular dynamics (MD) simulations. The dynamic equation for the nonlinear orthotropic plate considering large deflections and thermal stress is obtained. The stationary probability density of the nonlinear thermally stimulated vibrational behavior of SLBP is presented based on the nonlinear OPM for both the pre-buckling and post-buckling cases. For the post-buckling case, the time histories of SLBP with different damping ratios are obtained by nonlinear OPM using the fourth-order Runge-Kutta algorithm. As the damping ratio increases, one equilibrium position jumps to the other more frequently. The time histories of the SLBP at different temperatures are gotten by nonlinear OPM and MD simulations. The MD results indicate that the nonlinear OPM can predict the nonlinear thermally stimulated vibrational behavior of SLBP well.
