Gaussian curvature from flat elastica sheets
Gaussian curvature from flat elastica sheets
复制标题
DOI：
10.1098/rspa.2010.0352
复制
发表时间：
2011-04-08
影响因子：
3.5
通讯作者：
Warner, M.
中科院分区：
文献类型：
--
作者：
Modes, C. D.;Bhattacharya, K.;Warner, M.
我们讨论了从微观尺度的材料平板到宏观对象可逆地诱导不可展表面的方法。我们在膜近似下分析了向列相玻璃的弹性基态，它是拓扑荷+1位错缺陷的温度函数。我们的目的是表明，通过在这种固体中写入适当的指向矢场，可以在避免拉伸能量的情况下创建具有高斯曲率的平板动态切换的表面。除了可编程结构的前景外，这种表面在薄系统中通过拉伸提供激励，因为当随后取消照明时，不可避免的拉伸又回来了。
We discuss methods of reversibly inducing non-developable surfaces from flat sheets of material at the micro-scale all the way to macroscopic objects. We analyse the elastic ground states of a nematic glass in the membrane approximation as a function of temperature for disclination defects of topological charge +1. An aim is to show that by writing an appropriate director field into such a solid, one could create a surface with Gaussian curvature, dynamically switchable from flat sheets while avoiding stretch energy. In addition to the prospect of programmable structures, such surfaces offer actuation via stretch in thin systems since when illumination is subsequently removed, unavoidable stretches return.