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Nonlinear relative rotations in liquid crystalline elastomers
3.P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993).
6.P. G. de Gennes, in Liquid Crystals of One- and Two-Dimensional Order, edited by W. Helfrich and G. Heppke (Springer, Berlin, 1980), p. 231.
8.P. Martinoty, P. Stein, H. Finkelmann, H. Pleiner, and H. R. Brand, Eur. Phys. J. E 14, 311 (2004).
11.A. M. Menzel and H. R. Brand (in preparation).
12.P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 1995).
15.R. W. Ogden, Non-Linear Elastic Deformations (Dover, Mineola, 1997).
16.H. R. Brand, H. Pleiner, and P. Martinoty, Soft Matter 2, 182 (2006).
19.W. P. Mason, Physical Acoustics and the Properties of Solids (Van Nostrand Reinhold, New York, 1958).
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24.I. Kundler and H. Finkelmann, Makromol. Chem., Rapid Commun. 16, 679 (1995).
27.More precisely the authors of Ref. 20 refer to a situation corresponding to the experimental situation of, e.g., Refs. 23 and 24, in which compression or dilation couples to the reorientation of the director field. In the linear description the term in Eq. (21) or in Ref. 6 does not contain this coupling, as linear relative rotations are always perpendicular to [see Eq. (6)].
29.O. Müller, Diploma thesis, University of Bayreuth, 2001;
29.due to the transverse isotropy of the system only nine of the ten terms with the coefficients are independent.
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