Zakharov A P, Pismen L M
Department of Chemical Engineering, Technion - Israel Institute of Technology, 32000, Haifa, Israel.
Eur Phys J E Soft Matter. 2015 Jul;38(7):75. doi: 10.1140/epje/i2015-15075-6. Epub 2015 Jul 14.
We consider three-dimensional reshaping of thin nemato-elastic sheets containing half-charged defects upon nematic-isotropic transition. Gaussian curvature, that can be evaluated analytically when the nematic texture is known, differs from zero in the entire domain and has a dipole or hexapole singularity, respectively, at defects of positive or negative sign. The latter kind of defects appears in not simply connected domains. Three-dimensional shapes dependent on boundary anchoring are obtained with the help of finite element computations.
我们考虑在向列相-各向同性转变时含有半电荷缺陷的薄向列弹性片材的三维重塑。当向列相纹理已知时,可以通过解析方法评估的高斯曲率在整个域中都不为零,并且在正号或负号缺陷处分别具有偶极或六极奇点。后一种缺陷出现在非单连通域中。借助有限元计算获得了依赖于边界锚定的三维形状。