Micro scale experiments demonstrated that the material deformation behaviors of some metals and polymers deformed elasticity are size dependence, and the modified couple stress theory (MCST), which introduce an additional material length scale parameter, could capture the size dependences. The article reviews the available size-dependent models of micro-beam and micro-plate based on the MCST. For the representative micro-beams and micro-plates, the relevant mechanical models of micro-structures for static bending, vibration, buckling and pull-in instability, have been established based on the MCST, and the analytical and numerical solutions have been obtained. The results show that the size effects on the mechanical properties of the micro-structures are obvious and significant. Further possible researches on the size-dependent behaviors of the micro-structures are proposed.

微观实验表明，某些金属和聚合物变形弹性的材料变形行为与尺寸有关，而引入附加材料长度尺度参数的修正偶应力理论（MCST）可以捕获尺寸依赖性。本文回顾了基于MCST的微梁和微板的尺寸相关模型。对于代表性的微梁和微板，基于MCST建立了相应的微结构的静态弯曲，振动，屈曲和拉入不稳定性的力学模型，并获得了解析和数值解。结果表明，尺寸对微观结构力学性能的影响是明显的和显着的。