We consider models that describe liquid crystal elastomers either in a biaxial or in a uniaxial phase and in the framework of Frank's director theory. We prove the existence of static equilibrium solutions in the presence of frustrations due to electro-mechanical boundary conditions and to applied loads and fields. We find explicit solutions arising in connection with special boundary conditions and the corresponding phase diagrams, leading to significant implications on possible experimental observations.

Strain-order coupling in nematic elastomers : equilibrium configurations

De Simone, Antonio
2009

Abstract

We consider models that describe liquid crystal elastomers either in a biaxial or in a uniaxial phase and in the framework of Frank's director theory. We prove the existence of static equilibrium solutions in the presence of frustrations due to electro-mechanical boundary conditions and to applied loads and fields. We find explicit solutions arising in connection with special boundary conditions and the corresponding phase diagrams, leading to significant implications on possible experimental observations.
2009
Settore MAT/05 - Analisi Matematica
De Gennes order tensor; electro-mechanical coupling; liquid crystal elastomers; phase diagrams
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/84018
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