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The Quarterly Journal of Mechanics and Applied Mathematics 1992 45(4):595-606; doi:10.1093/qjmam/45.4.595
© 1992 by Oxford University Press
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CONTINUUM THEORY FOR BIAXIAL NEMATIC LIQUID CRYSTALS

F. M. LESLIE, J. S. LAVERTY and T. CARLSSON

( Mathematics Department, Strathclyde University Livingstone Tower, Richmond Street, Glasgow G1 1XH
Institute of Theoretical Physics, Chalmers University of Technology Göteborg, Sweden )

This paper presents a formulation of continuum theory for biaxial nematic liquid crystals based upon balance laws for linear and angular momentum, and derives directly expressions for stress and couple stress. The theory so obtained is more general than the earlier theory by Saupe, having more terms in the viscous stress, but by determining conditions that this stress is derivable from a dissipation function, one recovers his version, this requiring four Onsager-Parodi relations.


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