LAUSR

In this paper, the thermal and mechanical buckling of the nano flexoelectric beam with the Timoshenko beam model have been investigated by the consideration of nonlinear geometric effects. To do this, using non-classical theory of size dependent on flexoelectric materials, the coupling thermo-electromechanical and nonlinear equations are derived for the nano beam. The new formulation obtained here, is a modified strain gradient for flexoelectric materials, which is used in conjunction with the Timoshenko beam model to develop the governing equations for a flexoelectric beam. After obtaining the governing equations along with electrical and mechanical boundary conditions, the pre-buckling of the nano beam under mechanical and thermal loads was carried out and then the mechanical and thermal buckling of the nano beam was investigated. In the results section, the effects of different parameters on the behavior of the nano beam have been studied, and the results show that in the nanoscale, the flexoelectric effect greatly influences the piezoelectricity on this scale, and flexoelectric materials can be used as substitutes for the manufacture of various sensors and actuators.