Abstract

The general approach to study the properties of the mechanical deformations of solid nematics, which are the macroscopic homogeneous elastic media having the rotational symmetry of the nematic liquid crystals is proposed. The stress tensor, the Young modulus and the Poisson ratios for the parallel and perpendicular homogeneous orientations of nematic molecules relative to the axis of external forces influence are obtained by the varying of the free energy of mechanical deformation. It is shown that these constants have the anisotropic character and the experiments for the direct measurement of five elasticity coefficients entering the free energy expression are proposed.

中文翻译：

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固体向列的弹性

摘要

提出了研究向列液晶具有旋转对称性的宏观均匀弹性介质-固体向列力学变形特性的一般方法。向列分子相对于外力影响轴平行和垂直均匀取向的应力张量，杨氏模量和泊松比是通过改变机械变形的自由能来获得的。结果表明，这些常数具有各向异性，并提出了直接测量进入自由能表达式的五个弹性系数的实验。