<p>Piezoelectric material nanostructures have been widely applied in micro/nano-electromechanical systems (MEMS/NEMS) due to their excellent mechanical properties. Therefore, it is essential to describe the piezoelectric thermal elastic buckling behavior of piezoelectric material nanostructures at&#xa0;nanoscale. The existing theories are insufficient to explain the piezoelectric thermoelastic buckling behavior and multi-physics field coupling properties on piezoelectric material nanostructures, and further development is urgently needed. To this end, the current work intends to generalize thermo-electromechanical coupling theory and conduct buckling analysis by considering the multi-physical coupling behavior on piezoelectric material nanobeam. To elucidate the multi-physics field coupling characteristics and buckling behavior on piezoelectric material nanobeam, a new model is established, and the corresponding constitutive equations are derived&#xa0;based on nonlocal elastic theory and thermal model. To illustrate the application of the latest model, the thermo-mechanical buckling behavior of piezoelectric material nanobeam in complex thermal environments is investigated, revealing the effects of thermal effects and electric field on piezoelectric material nanobeam. Based on the numerical results, piezo-flexoelectric and thermal effects on the buckling behavior of piezoelectric material nanobeam are examined and graphically presented. This work may provide some assistance about the design and optimization of piezoelectric material nanobeam on MEMS/NEMS.</p>