Swelling and tilting in smectic layers

Citation
G. Capriz et G. Napoli, Swelling and tilting in smectic layers, APPL MATH L, 14(6), 2001, pp. 673-678
Citations number
5
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
14
Issue
6
Year of publication
2001
Pages
673 - 678
Database
ISI
SICI code
0893-9659(200108)14:6<673:SATISL>2.0.ZU;2-W
Abstract
Smectic liquid crystals are quasi-solid materials, in that they possess mic rostructure both of the material and the local type (the nematic microstruc ture and the lamellae). In the standard approach, the rod-like molecules ar e supposed to be strictly normal to the layers; here we abandon this constr aint and admit the possibility for the molecules to change orientation with respect to the layers, paying in energy. As a consequence, we obtain two e quations: one expresses the balance of micromomentum, the other is Cauchy's equation. We derive also their form in the linear approximation and solve two typical problems. (C) 2001 Elsevier Science Ltd. All rights reserved.