Pismen L M
Department of Chemical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):060501. doi: 10.1103/PhysRevE.90.060501. Epub 2014 Dec 22.
We consider three-dimensional reshaping of a thin nematoelastic film upon nematic-isotropic transition in the field of a charge one topological defect, leading to either cone or anticone (d-cone) shells. The analysis is based on the relation between the shell metric and the tensor order parameter under the assumption of no elastic deformation and volume change. The shape of the shell can be modified by doping, creating cones with curved generatrices. Anticones necessarily have an even number of radial creases. The curvature singularity at the apex is resolved due to decay of the nematic order parameter at the defect core.
我们考虑在电荷为一的拓扑缺陷场中，薄向列弹性膜在向列 - 各向同性转变时的三维重塑，这会导致形成圆锥壳或反圆锥（d - 圆锥）壳。该分析基于在无弹性变形和体积变化假设下壳度量与张量序参量之间的关系。壳的形状可通过掺杂来改变，从而产生具有弯曲母线的圆锥。反圆锥必然有偶数个径向折痕。由于缺陷核心处向列序参量的衰减，顶点处的曲率奇点得以解决。
