Abstract
We compute both the force and the torque acting on a nematic disclination of arbitrary shape in space. The disclination’s core, where the material is thought of as melted in its isotropic phase, is not necessarily assumed to be a circular cylinder. The effect of the core’s shape on the forces restoring equilibrium is also studied in some detail.
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References
Dafermos, CM. (1970) Q. Jl. Mech. appl. Math., 23, S49–S64.
Denniston, C. (1996) Phys. Rev. B, 54, 6272–6275.
Ericksen, J.L. (1995) ZAMP, 46, S247–S271.
Eshelby, J.D. (1980) Phil. Mag., 42, 359–367.
Happel, J. and Brenner, H. (1965) Low Reynolds Number Hydrodynamics with Special Applications to Particulate Media. Prentice-Hall, Englewood Cliffs.
Kléman, M. and Friedel, J. (1969) J. Phys. Colloque, C4, 43–53.
Gurtin, M.E. (2000) Configurational Forces as Basic Concepts of Continuum Physics. Springer, New York.
Maugin, G.A. and Trimarco, C. (1995) Int. J. Engng. Sci., 33, 1663–1678.
Pismen, L.M. and Rubinstein, J. (1992) Quart. Appl. Math., 50, 535–545.
Richardson, G. (2000) Q. Jl. Mech. appl. Math., 53, 49–71.
Ryskin, G. and Kremenetsky, M. (1991) Phys. Rev. Lett., 67, 1574–1577.
Rosso, R. and Virga, E.G. (2000) Forthcoming.
Sonnet, A.M. and Virga, E.G. (1997) Phys. Rev. E, 56, 6834–6842.
Sonnet, A.M. and Virga, E.G. (2000) This volume.
Virga, E.G. (1994) Variational Theories for Liquid Crystals. London, Chapman & Hall.
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Rosso, R., Virga, E.G. (2001). Restoring Forces on Nematic Disclinations. In: Lavrentovich, O.D., Pasini, P., Zannoni, C., Žumer, S. (eds) Defects in Liquid Crystals: Computer Simulations, Theory and Experiments. NATO Science Series, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0512-8_7
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DOI: https://doi.org/10.1007/978-94-010-0512-8_7
Publisher Name: Springer, Dordrecht
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