中文摘要：

这份报纸瞄准通过与剩余压力地把表面弹性合并到弹性调查自我弄弯的尺寸依赖者和 nano 盘子的弯曲行为。当外部装载不在时，积极表面紧张在 nano 板并且在那里的体积导致一个压缩剩余压力领域可以是相应于板的自我平衡状态自我弄弯。nano 盘子的自我不稳定性被调查，简单地支持的矩形的 nano 盘子的批评自我不稳定性尺寸是坚定的。另外，在 nano 板的体积的剩余压力地通常在存在文学被忽视，在体积的有弹性的反应被古典胡克的法律经常描述的地方。现在的纸在表面紧张导致并且与剩余压力领域采用了弹性没有弄弯，学习 nano 盘子的弯曲行为的体积考虑了剩余压力的效果。现在的结果证明表面效果仅仅在古典 Kirchhoff 板理论的相应方程修改系数。

英文摘要：

This paper aims at investigating the size-dependent self-buckling and bending behaviors of nano plates through incorporating surface elasticity into the elasticity with residual stress fields. In the absence of external loading, positive surface tension induces a compressive residual stress field in the bulk of the nano plate and there may be self-equilibrium states corresponding to the plate self-buckling. The self-instability of nano plates is investigated and the critical self-instability size of simply supported rectangular nano plates is determined. In addition, the residual stress field in the bulk of the nano plate is usually neglected in the existing literatures, where the elastic response of the bulk is often described by the classical Hooke＇s law. The present paper considered the effect of the residual stress in the bulk induced by surface tension and adopted the elasticity with residual stress fields to study the bending behaviors of nano plates without buckling. The present results show that the surface effects only modify the coefficients in corresponding equations of the classical Kirchhoff plate theory.