在Mindlin假设的前提下，考虑了几何非线性条件及表面效应的影响，建立了纳米尺度下尺寸相关的板状各向同性弹性薄膜模型；从哈密尔顿变分原理出发，导出了薄膜的控制方程，用公式明确阐述了由表面张力引起的符合经典板理论且与薄膜变形相关的残余膜力和弯矩；通过微小尺寸薄膜弯曲的算例，说明了表面效应与薄膜厚度的相关性，当薄膜厚度等于或者小于其内禀尺度时，表面效应对薄膜厚度表现出很强的敏感性。

A new nano-scale plate-like model in which the influence of surface effect and the geometrically nonlinear condition are considered is introduced on the basis of Mindlin theory. By using Hamilton's principle, the governing equations are derived. The residue membrane force and bending moment, which are caused by the surface stresses, are explicitly expatiated. After analyzing the membrane force and bending moment, it can be obtained that they are dependent on the deformation of the film and are accordant to classical plate theory. The model is then applied to analyze the bending and buckling of simply supported micro- and nano-films in plane strains . Differing from the conventional plate theory, the proposed model and solutions involve the intrinsic scale and depend on the thickness of the film. Thus, it can be found that when the thickness of,the film is equal to or less than the intrinsic scale, the surface effect is strongly sensitive to the thickness of the film.