Singh Harmeet, Virga Epifanio G
Laboratory for Computation and Visualization in Mathematics and Mechanics, Institute of Mathematics, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland.
Department of Mathematics, University of Pavia, Pavia, Italy.
J Elast. 2023;153(4-5):613-634. doi: 10.1007/s10659-022-09900-9. Epub 2022 Jun 14.
We present a theory of deformation of ribbons made of nematic polymer networks (NPNs). These materials exhibit properties of rubber and nematic liquid crystals, and can be activated by external stimuli of heat and light. A two-dimensional energy for a sheet of such a material has already been derived from the celebrated neo-classical energy of nematic elastomers in three space dimensions. Here, we use a dimension reduction method to obtain the appropriate energy for a ribbon from the aforementioned sheet energy. We also present an illustrative example of a rectangular NPN ribbon that undergoes in-plane serpentine deformations upon activation under an appropriate set of boundary conditions.
我们提出了一种由向列型聚合物网络（NPN）制成的带状物的变形理论。这些材料兼具橡胶和向列型液晶的特性，并且可以通过热和光等外部刺激来激活。这种材料薄片的二维能量已经从著名的三维空间中的向列型弹性体的新古典能量推导得出。在此，我们使用降维方法从上述薄片能量中获得带状物的合适能量。我们还给出了一个矩形NPN带状物的示例，在适当的一组边界条件下激活后，该带状物会发生面内蜿蜒变形。
