Cantilevered long glassy nematic bilayer strips bend in response to light, and thus are attractive for actuation applications. The objective of this work is to examine whether the deformation can be predicted by the one-dimensional beam model as in usual practice. To do so, we consider a bilayer with orthogonal director orientations in the upper and lower layers and analyze its bending in the framework of the classical plate theory. We find that the deflection is much larger than that given by the beam model, because the spontaneous bending in the width direction increases the curvature along the long axis. Therefore, the one-dimensional beam model fails to describe the bending behavior of the cantilevered bilayer strips.

悬臂式长玻璃向列双层带响应光而弯曲，因此对驱动应用很有吸引力。这项工作的目的是检查变形是否可以像通常的做法一样由一维梁模型预测。为此，我们考虑在上下层具有正交指向矢方向的双层，并在经典板理论的框架内分析其弯曲。我们发现挠度比梁模型给出的要大得多，因为宽度方向的自发弯曲增加了沿长轴的曲率。因此，一维梁模型无法描述悬臂双层条的弯曲行为。