A microcontinuum description of compressible liquid crystals is examined accounting for a constitutive model based on mass microdensity. As a first point, we discuss the effectiveness of the micropolar theory on compressible continua, which is limited to static problems. Then, by a micromorphic representation of mass density, we show the consistence of some classical constitutive models for compressible nematic liquid crystals and remark their connection with the microinertia tensor. After the analysis of a constitutive micropolar model, we discuss a static problem for a layer of compressible nematic liquid crystal in a planar configuration. The effects of an applied electric potential are considered remarking the coupling of density distribution with the molecular orientation.

考虑到基于质量微密度的本构模型，检查了可压缩液晶的微连续谱描述。作为第一点，我们讨论了微极性理论对可压缩连续体的有效性，该理论仅限于静态问题。然后，通过质量密度的微形态表示，我们显示了可压缩向列液晶的一些经典本构模型的一致性，并指出了它们与微惯性张量的联系。在对本构微极性模型进行分析之后，我们讨论了平面结构中可压缩向列液晶层的静态问题。认为所施加的电势的影响表明了密度分布与分子取向的耦合。