In this article, the bending analysis of flexoelectric functionally graded (FG) microbeams according to nonlocal elasticity theory is verified. To this end, higher order refined beam theory has been used. The foundation of FG microbeam includes Winkler-Pasternak layer. Hamilton’s principle is used to obtain the governing equations based on the nonlocal theory and solved employing an analytical solution. The model is designed in such a way that the properties change continuously. A parametric study is presented to inquire the nonlocal parameter, power-law hygro-thermal-loadings, flexoelectric effect, transverse external loading, on the bending characteristics of FG microbeam. It is found that boundary conditions, flexoelectric effect, nonlocal parameter, power-law index and beam geometrical parameters have notable effects on dimensionless deflection of FG microscale beams.

本文验证了根据非局部弹性理论对柔性功能梯度微梁的弯曲分析。为此，已经使用了更高阶的精束理论。FG微光束的基础包括Winkler-Pasternak层。汉密尔顿原理用于基于非局部理论获得控制方程，并采用解析解进行求解。设计模型时应使属性连续变化。进行了参数研究，以研究FG微梁弯曲特性的非局部参数，幂律湿热载荷，柔电效应，横向外部载荷。发现边界条件，柔电效应，非局部参数，