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The Quarterly Journal of Mechanics and Applied Mathematics 1994 47(4):511-525; doi:10.1093/qjmam/47.4.511
© 1994 by Oxford University Press
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SMECTIC LIQUID CRYSTALS AND THE PARABOLIC CYCLIDES

I. W. STEWART, Faculty of Engineering, F. M. LESLIE and M. NAKAGAWA

( Department of Theoretical Mechanics, University of Nottingham Nottingham NG7 2RD
Department of Mathematics, University of Strathclyde Glasgow G1 1XH
Nagaoka University of Technology Nagaoka, Niigata 940-21 Japan )

This article demonstrates that parabolic cyclide surfaces are static solutions to the equilibrium equations of smectic liquid-crystal continuum theory. A suitable parametrization of such surfaces is derived which enables the Euler-Lagrange equations to be solved in a convenient coordinate system. Plots of these surfaces are presented and their relationship to disclinations and experimental observations is discussed.


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