Frame, metric and geodesic evolution in shape-changing nematic shells,Soft Matter

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Frame, metric and geodesic evolution in shape-changing nematic shells
Soft Matter ( IF 2.9 ) Pub Date : 2017-11-16 00:00:00 , DOI: 10.1039/c7sm01596h
Cyrus Mostajeran _{1,

2,

3,

4} , Mark Warner _{2,

4,

5,

6} , Carl D. Modes _{7,

8,

8,

9,

10}

Affiliation

Non-uniform director fields in flat, responsive, glassy nematic sheets lead to the induction of shells with non-trivial topography on the application of light or heat. Contraction along the director causes metric change, with, in general, the induction of Gaussian curvature, that drives the topography change. We describe the metric change, the evolution of the director field, and the transformation of reference state material curves, e.g. spirals into radii, as curvature develops. The non-isometric deformations associated with heat or light change the geodesics of the surface, intriguingly even in regions where no Gaussian curvature results.

中文翻译：

形状变化的向列壳的框架，公制和测地学演化

平面的，反应性的，玻璃状向列相片中不均匀的指向矢场会导致在施加光或热时具有不平凡的形貌的壳的感应。沿指向矢的收缩会导致度量发生变化，通常会引起高斯曲率的感应，从而驱动地形变化。我们描述了随着曲率的发展，度量的变化，指向矢场的演变以及参考状态材料曲线（例如，螺旋线到半径线）的转换。即使在没有高斯曲率产生的区域中，与热或光相关的非等距变形也会改变表面的测地线。

更新日期：2017-11-16

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