Vibration of thermally post-buckled composite plates embedded with shape memory alloy fibers

The vibration behavior of the thermally buckled composite plate embedded with shape memory alloy (SMA) fibers is investigated. The nonlinear finite element equations based on the first-order shear deformation plate theory are formulated for the laminated composite plate embedded with SMA fibers. The von Karman strain–displacement relation is used to account for the large deflection. The incremental method considering the influence of the initial deflections and initial stresses is adopted for the temperature-dependent material properties of SMA fibers and composite matrix. In addition, the marching method is used for determining the thermal large deflections and predicting the critical temperatures. The numerical results show the vibration characteristic of the laminated composite plate embedded with SMA fibers in the pre-buckled and post-buckled regions.