This paper investigates on the buckling treatment of a three layered rectangular nanocomposite microplate resting on elastic foundation. The core is a laminated nanocomposite layer reinforced with graphene platelets bonded with two piezoelectric facesheets. The microplate is subjected to thermo-electro-mechanical loads. The governing equations are developed in the framework of the first order shear deformation theory alongside with the modified couple stress theory. The effective laminated nanocomposite core layer thermo-mechanical properties are determined by the Halpin-Tsai micromechanical model. The Ritz method is employed to discretize the governing equations of motion in order to achieve the buckling loads for different boundary condition types. The outcomes are developed for both thermo-electrical and electro-mechanical buckling examinations. For the latter case, the microplate is studied when it is subjected to uniaxial, biaxial, and shear mechanical loads. The effects of boundary condition types, the external applied voltage, the graphene platelet distribution pattern, the elastic foundation parameters and the graphene platelet weight fraction as well as its geometrical features on the buckling loads are studied. The results reveal that the types of boundary condition, the graphene platelet dispersion pattern, the graphene platelet weight fraction, and the applied voltage affect noticeably the thermal/mechanical buckling load. Moreover, when the elastic foundation effect is considered the increment percent in the thermal and shear mechanical buckling loads is not affected by the graphene platelets dispersion pattern while for some certain boundary condition types, the graphene platelets distribution pattern affects the increment percent of the critical uniaxial and biaxial mechanical loads.

本文研究了基于弹性基础的三层矩形纳米复合微板的屈曲处理。核心是一个层压纳米复合材料层，由石墨烯薄片和两个压电面板粘合而成。微孔板承受热机电负载。控制方程是在一阶剪切变形理论的框架内与修正的偶应力理论一起开发的。有效的层压纳米复合材料核心层的热机械性能由 Halpin-Tsai 微机械模型确定。Ritz 方法用于离散运动控制方程，以实现不同边界条件类型的屈曲载荷。结果是为热电和机电屈曲检查而开发的。对于后一种情况，当微板受到单轴、双轴和剪切机械载荷时，将对其进行研究。研究了边界条件类型、外加电压、石墨烯薄片分布模式、弹性基础参数和石墨烯薄片重量分数及其几何特征对屈曲载荷的影响。结果表明，边界条件的类型、石墨烯薄片分散模式、石墨烯薄片重量分数和施加的电压显着影响热/机械屈曲载荷。此外，当考虑弹性基础效应时，热和剪切机械屈曲载荷的增量百分比不受石墨烯片分散模式的影响，而对于某些边界条件类型，