Abstract
A thermo–mechanical continuum model for smectic-C elastomers is developed within the setting of multifield theories describing material substructures. Smectic elastomers are layered materials exhibiting a solid-like elastic response along the layer normal and a rubbery one in the plane, hence possess microstructure both of the material and local type (the nematic microstructure and the lamellae, respectively). The balance equations are derived from the general theory of continua with constrained microstructure [2] and, after, the appropriate constitutive relations are proposed along with the thermodynamic restrictions and the invariance principles. At the end we compare our theory with two previous proposals which are recovered to be particular cases of this one.
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References
Buonsanti, M., Giovine, P.: On a Minimum Problem in Smectic Elastomers. In: Santini, A., Moraci, N. (eds.) 2008 Seismic Engng. Conf. commem. the 1908 Messina and Reggio Calabria Earthquake (MERCEA 2008). Amer. Inst. Physics Conference Proc., vol. 1020, pp. 1350–1357. AIP, New York (2008)
Capriz, G.: Continua with Microstructure. Springer Tracts in Natural Philosophy, vol. 35. Springer, New York (1989)
Capriz, G.: Smectic Liquid Crystals as Continua with Latent Microstructure. Meccanica 30, 621–627 (1995)
Capriz, G.: Smectic Elasticity. In: Batra, R.C., Beatty, M.F. (eds.) Contemporary Research in Mechanics and Mathematics of Materials, pp. 199–204. CIMNE, Barcelona (1996)
Capriz, G., Giovine, P.: On Microstructural Inertia. Math. Mod. Meth. Appl. Sc. 7, 211–216 (1997)
Capriz, G., Giovine, P.: Remedy to Omissions in a Tract on Continua with Microstructure. In: Atti XIII Congresso AIMETA 1997, Siena, Meccanica Generale, vol. I, pp. 1–6 (1997)
Capriz, G., Napoli, G.: Swelling and Tilting in Smectic Layers. Appl. Math. Letters 14, 673–678 (2001)
Capriz, G., Podio–Guidugli, P.: Internal Constraint. In: Truesdell, C. (ed.) Rational Thermodynamics, Appendix 3A, 2nd edn., pp. 159–170. Springer, New York (1984)
Capriz, G., Podio–Guidugli, P.: Formal Structure and Classification of Theories of Oriented Materials. Annali Mat. Pura Appl. (IV) CXV, 17–39 (1977)
de Gennes, P.G., Prost, J.: The Physics of Liquid Crystals, 3rd edn. Oxford Science Publ., Oxford (2003)
Gurtin, M.E., Podio–Guidugli, P.: The Thermodynamics of Constrained Materials. Arch. Rational Mech. Anal. 51, 192–208 (1973)
Manacorda, T.: Introduzione alla Termomeccanica dei Continui. Pitagora Editrice, Bologna (1979)
Stenull, O.: Smectic Elastomers Membranes. Phys. Rev. E 75, 051702 (2007)
Truesdell, C., Toupin, R.A.: The Classical Field Theories. In: Flügge, S. (ed.) Handbuch der Physik, III/1. Springer, Berlin (1960)
Virga, E.G.: Variational Theories for Liquid Crystals. Chapman & Hall, London (1994)
Warner, W., Terentjev, E.M.: Liquid Crystal Elastomers. Clarendon Press, Oxford (2003)
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Giovine, P. (2010). On Constitutive Choices for Smectic Elastomers. In: Albers, B. (eds) Continuous Media with Microstructure. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11445-8_7
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DOI: https://doi.org/10.1007/978-3-642-11445-8_7
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