A model of a nematic elastomer in the form of a chain whose links are in one of the two possible states is suggested. For such a two-component system an exact expression of the configuration integral with unknown single-particle potentials of mean forces is obtained. Within the framework of the approximation of a self-coordinated field, physically justified approximations that allowed one to calculate the extension curves at different temperatures have been introduced for them.
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V. V. Belov, New integral equaitons for liquid mixtures, Dokl. Akad. Nauk BSSR, 32, No. 6, 500–503 (1988).
S. S. Abramchuk and A. R. Khokhlov, Molecular theory of highly elastic polymer nets with allowance for orientaiton ordering of chains, Dokl. Akad. Nauk SSSR, 297, No. 2, 385–388 (1987).
M. Warner, New elastic behaviour arising from the unusual constitutive relation of nematic solids, Mech. and Phys. Solids, 47, 1355–1377 (1999).
M. Warner and E. Terentjev, Liquid Crystal Elastomers, Clarendon Press, Oxford (2003).
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Translated from Inzhenerno- Fizicheskii Zhurnal, Vol. 82, No. 5, pp. 999–1003, September–October, 2009.
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Belov, V.V., Nemtsov, V.B. Statistical model of the extension of elastomers. J Eng Phys Thermophy 82, 1008–1013 (2009). https://doi.org/10.1007/s10891-009-0268-8
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DOI: https://doi.org/10.1007/s10891-009-0268-8