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The Quarterly Journal of Mechanics and Applied Mathematics 1970 23(2):25-47; doi:10.1093/qjmam/23.2.25
© 1970 by Oxford University Press
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THEORY OF AXIAL PLANE REORIENTATION IN LIQUID CRYSTALS OF NEMATIC TYPE

W. E. WARREN

( Sandia Laboratories Albuquerque, New Mexico )

A general solution to the axial plane problems in a linear theory of liquid crystals of nematic type is obtained in terms of analytic functions. The solution makes tractable a class of problems which may lend themselves to the determination of material constants that appear in both the linear and non-linear theories, and thus may be of interest to experimenters in the field. Several representative problems are solved. For one of these problems, an explicit expression is obtained for the material constant k4 (= k24in the Oseen-Frank theory) in terms of the other material constants and two reorientation measurements.


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