Smectic elastomers are layered materials exhibiting a solid-like elastic response along the layer normal and a rubbery one in the plane. Balance equations for smectic elastomers are derived from the general theory of continua with constrained microstructure. In this work we investigate a very simple minimum problem based on multi-well potentials where the microstructure is taken into account. The set of polymeric strains minimizing the elastic energy contains a one-parameter family of simple strain associated with a micro-variation of the degree of freedom. We develop the energy functional through two terms, the first one nematic and the second one considering the tilting phenomenon; after, by developing in the rubber elasticity framework. we minimize over the tilt rotation angle and extract the engineering stress.

On a Minimum Problem in Smectic Elastomers / Buonsanti, M; Giovine, Pasquale. - 1020:(2008), pp. 1350-1357. (Intervento presentato al convegno AIP Proceedings of 2008 Seismic Engineering Int. Conf. commemorating the 1908 Messina and Reggio Calabria Earthquake).

On a Minimum Problem in Smectic Elastomers

BUONSANTI M;GIOVINE, PASQUALE
2008-01-01

Abstract

Smectic elastomers are layered materials exhibiting a solid-like elastic response along the layer normal and a rubbery one in the plane. Balance equations for smectic elastomers are derived from the general theory of continua with constrained microstructure. In this work we investigate a very simple minimum problem based on multi-well potentials where the microstructure is taken into account. The set of polymeric strains minimizing the elastic energy contains a one-parameter family of simple strain associated with a micro-variation of the degree of freedom. We develop the energy functional through two terms, the first one nematic and the second one considering the tilting phenomenon; after, by developing in the rubber elasticity framework. we minimize over the tilt rotation angle and extract the engineering stress.
2008
978-0-7354-0542-4
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/18703
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