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http://purl.org/net/epubs/work/23711936
Record Status
Checked
Record Id
23711936
Title
Practical applications of simple Cosserat methods
Contributors
DA Burton (Cockcroft Inst., and Lancaster Univ.)
,
RW Tucker (Cockcroft Inst., and Lancaster Univ.)
Abstract
Motivated by the need to construct models of slender elastic media that are versatile enough to accommodated non-linear phenomena under dynamical evolution, an overview is presented of recent practical applications of simple Cosserat theory. This theory offers a methodology for modeling non-linear continua that is physically accurate and amenable to controlled numerical approximation. By contrast to linear models, where non-linearities are sacrificed to produce a tractable theory, large deformations are within the range of validity of simple Cosserat models. The geometry of slender and shell-like bodies is exploited to produce a theory that contains as few degrees of freedom as is physically reasonable. In certain regimes it is possible to include fluid-structure interactions in Cosserat rod theory in order to model, for example, drill-string dynamics, undersea riser dynamics and cable-stayed bridges in light wind-rain conditions. The formalism also lends itself to computationally efficient, effective models of microscopic carbon nanotubes and macroscopic gravitational antennae.
Organisation
CI
,
STFC
Keywords
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Language
English (EN)
Type
Details
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Year
Book Chapter or Section
In Mechanics of Generalized Continua: One Hundred Years After the Cosserats. Edited by A V Metrikine, G A Maugin , chapter 10, 87-98. New York: Springer-Verlag, 2010.
https://doi.org/1…978-1-4419-5695-8_10
2010
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