![Sample our Physical Sciences journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/110819/TOC-Subject-Sample-2021-Physical-Sciences.jpg"})
Abstract
The paper presents the formulation of the theory of ferroelectric liquid crystals (smectic*). In this formulation the formalism of bundle space has been applied. The used bundle space has a form of a Cartesian product of the three-dimensional Euclidean space E3 (the base space) and a differentiable manifold Ms with a conical structure. The paper contains: the formulation of the ki nematics of the continuous micropolar model, the local form of the conservation1 laws (the equations of the evolution of the medium), and the constitutive relations for chiral smectic C*.
The kinematic in the fibre space is described by two vector fields: the director d and the normal to the smectic layers - k. The vector d rotates around the vector k- the axis of instantaneous ro tation. From the integral principle of the energy conservation law, the equations of evolution of the mass, momentum and angular momentum densities are derived.
The set of the constitutive arguments is established and the integrity base or the set of invariants of the group of material symmetry is obtained. The constitutive relations for stresses and in-internal force are presented.