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Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, Vol.249, 1-16, 1994
Macroscopic Continuum Theory of Ferroelectric Liquid-Crystal of Smectic C-Asterisk Type
The paper presents the formulation of the theory of ferroelectric liquid crystals (smecticC*). 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 E(3)(the base space) and a differentiable manifold M(S) with a conical structure. The paper contains : the formulation of the ki nematics of the continuous micropolar model, the local form of the conservation 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) under bar and the normal to the smectic layers - (k) under bar. The vector (d) under bar rotates around the vector (k) under bar- the axis of instantaneous ro rotation. 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.