Abstract
In the paper an application of differential geometry to construction of microstructural the-theory is presented. This theory is formulated in spaces tangent to material and microstructural manifolds, which form the bundle space Ω. The fibre space F, or the space of microstructure is isomorphic with the orthogonal group O. This way the modified micropolar theory has been formulated. In the paper the deformation, kinematics, balance equations and constitutive equations for such a medium have been considered. The considerations have been related to the theory of Liquid Crystals in Eringen formulation.
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