Numerical study of liquid crystal elastomers by a mixed finite element method
نویسندگان
چکیده
منابع مشابه
Numerical Study of Liquid Crystal Elastomers by Mixed Finite Element Methods
The goal of this article is the application of the finite element method to study and simulate the unique behaviors of liquid crystal elastomers, such as semi-soft elasticity and stripe-domain instability. We start with an energy functional that consists of the Bladon-Warner-Terentjev stored energy of the liquid crystal elastomer, the Oseen-Frank energy of liquid crystals, plus Lagrange multipl...
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In this article, we investigate the application of an operatorsplitting/finite element method to the numerical simulation of a liquid crystal flow. The operator-splitting is achieved through three stages, so that each stage is simpler and easier to deal with than the step of any un-split implicit scheme. The first stage deals with the system coupling a Stokes equation for velocity with an equat...
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PREFACE Liquid crystals are unusual materials. As their name suggests, they inhabit the grey area between liquids and solids. They have long range orientational order, typically of the unique axes of their component rod-like or plate molecules. Spatial variations of this average direction of molecular orientation are resisted by so-called curvature (Frank) elasticity. On the other hand liquid c...
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ژورنال
عنوان ژورنال: European Journal of Applied Mathematics
سال: 2011
ISSN: 0956-7925,1469-4425
DOI: 10.1017/s0956792511000313