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On a Minimum Problem in Smectic Elastomers

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.2963756· OSTI ID:21148903
;  [1]
  1. Dipartimento di Meccanica e Materiali, Facolta di Ingegneria, Universita Mediterranea, Via Graziella 1, localita Feo di Vito, I-89122, Reggio Calabria (Italy)
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.
OSTI ID:
21148903
Journal Information:
AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1020; ISSN APCPCS; ISSN 0094-243X
Country of Publication:
United States
Language:
English

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