论文标题
平面液晶弹性体的形状变形
Shape Morphing of Planar Liquid Crystal Elastomers
论文作者
论文摘要
我们考虑平面液晶弹性体：由各向异性响应材料制成的二维物体，即激活后保持平坦，但是会改变其平面形状。我们根据这种变形子类得出的隐式线性性得出了一个封闭形式的分析解决方案。我们的解决方案从两条初始导演曲线开始，在任意域上提供了列表导演字段。我们讨论了此问题的不同量规选择，以及在列表中包含脱节的选择。最后，我们根据这个理论框架提出了几种应用程序和有用的设计原理。
We consider planar liquid crystal elastomers: two dimensional objects made of anisotropic responsive materials, that upon activation remain flat however change their planar shape. We derive a closed form, analytical solution based on the implicit linearity featured by this subclass of deformations. Our solution provides the nematic director field on an arbitrary domain starting with two initial director curves. We discuss the different gauges choices for this problem, and the inclusion of disclinations in the nematic order. Finally, we propose several applications and useful design principles based on this theoretical framework.
