In this paper, the buckling characteristic of FGM plate considering the surface effect is studied based on general third-order plate theory and non-local theory. The surface effect of FGM plate is captured by the surface elasticity theory. The Kirchhoff hypothesis is released by employing parabolic variation of transverse shear strains. By using Navier solution technique, analytical solutions of buckling loads of FGM plate with surface effect are given, and detailed parametric studies are presented to show the relationship between surface effects and the plate thickness, power-law index, surface residual stress, surface moduli and non-local parameter. Furthermore, the surface effect on the buckling characteristic of FGM plate is also discussed.

中文翻译：

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基于一般三阶板理论和非局部理论的考虑表面效应的FGM板屈曲行为解析解

本文基于一般三阶板理论和非局部理论研究了考虑表面效应的FGM板的屈曲特性。FGM板的表面效应由表面弹性理论捕捉。基尔霍夫假设是通过使用横向剪切应变的抛物线变化来发布的。利用Navier求解技术，给出了具有表面效应的FGM板屈曲载荷的解析解，并给出了详细的参数研究，表明了表面效应与板厚、幂律指数、表面残余应力、表面模量和非本地参数。此外，还讨论了表面效应对 FGM 板屈曲特性的影响。