This paper presents a non-classical refined shear deformation theory model in conjunction with the isogeometric analysis for the static bending, free vibration, and buckling behaviors of multilayered microplates. The modified couple stress theory is used to account for the small-scale effect. Taking a five-layer (Al, P3HT: PCBM, PEDOT: PSS, ITO, and Glass) organic solar cell as an example, it is found that the small-scale effects lead to a decrease in deflection, but an increase in the natural frequency and buckling load. With consideration of the size effect (l/h = 1), the stresses are almost 5 times as much as that without the size effect (l/h = 0). This is why the size effect should be taken into account. Besides, the maximum tensile stress occurs in the ITO layer, which is the dangerous layer. In addition, the normalized deflections increase with increasing aspect ratio, but the normalized natural frequencies and normalized buckling loads decrease with increasing aspect ratio.

本文提出了一种非经典的精细剪切变形理论模型，并通过等几何分析对多层微板的静态弯曲，自由振动和屈曲行为进行了分析。改进的耦合应力理论用于解释小尺度效应。以五层（Al，P3HT：PCBM，PEDOT：PSS，ITO和玻璃）有机太阳能电池为例，发现小规模效应导致偏转减小，但自然增大频率和屈曲载荷。考虑到大小效应（l / h  = 1），应力几乎是没有大小效应（l / h）的5倍 = 0）。这就是为什么要考虑尺寸影响的原因。此外，最大拉伸应力发生在作为危险层的ITO层中。此外，归一化挠度随长宽比的增加而增加，但是归一化固有频率和归一化屈曲载荷随长宽比的增加而减小。