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Practical applications of simple Cosserat methods

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Practical applications of simple Cosserat methods. / Burton, David A.; Tucker, Robin W.
Mechanics of generalized continua: one hundred years after the Cosserats. ed. / Gérard A. Maugin; Andrei V. Metrikine. Springer, 2010. p. 87-98 (Advances in Mechanics and Mathematics; Vol. 21).

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

Harvard

Burton, DA & Tucker, RW 2010, Practical applications of simple Cosserat methods. in GA Maugin & AV Metrikine (eds), Mechanics of generalized continua: one hundred years after the Cosserats. Advances in Mechanics and Mathematics, vol. 21, Springer, pp. 87-98. https://doi.org/10.1007/978-1-4419-5695-8_10

APA

Burton, D. A., & Tucker, R. W. (2010). Practical applications of simple Cosserat methods. In G. A. Maugin, & A. V. Metrikine (Eds.), Mechanics of generalized continua: one hundred years after the Cosserats (pp. 87-98). (Advances in Mechanics and Mathematics; Vol. 21). Springer. https://doi.org/10.1007/978-1-4419-5695-8_10

Vancouver

Burton DA, Tucker RW. Practical applications of simple Cosserat methods. In Maugin GA, Metrikine AV, editors, Mechanics of generalized continua: one hundred years after the Cosserats. Springer. 2010. p. 87-98. (Advances in Mechanics and Mathematics). doi: 10.1007/978-1-4419-5695-8_10

Author

Burton, David A. ; Tucker, Robin W. / Practical applications of simple Cosserat methods. Mechanics of generalized continua: one hundred years after the Cosserats. editor / Gérard A. Maugin ; Andrei V. Metrikine. Springer, 2010. pp. 87-98 (Advances in Mechanics and Mathematics).

Bibtex

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title = "Practical applications of simple Cosserat methods",
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.",
author = "Burton, {David A.} and Tucker, {Robin W.}",
year = "2010",
doi = "10.1007/978-1-4419-5695-8_10",
language = "English",
isbn = "9781441956941",
series = "Advances in Mechanics and Mathematics",
publisher = "Springer",
pages = "87--98",
editor = "Maugin, {G{\'e}rard A.} and Metrikine, {Andrei V.}",
booktitle = "Mechanics of generalized continua",

}

RIS

TY - CHAP

T1 - Practical applications of simple Cosserat methods

AU - Burton, David A.

AU - Tucker, Robin W.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

U2 - 10.1007/978-1-4419-5695-8_10

DO - 10.1007/978-1-4419-5695-8_10

M3 - Chapter

SN - 9781441956941

T3 - Advances in Mechanics and Mathematics

SP - 87

EP - 98

BT - Mechanics of generalized continua

A2 - Maugin, Gérard A.

A2 - Metrikine, Andrei V.

PB - Springer

ER -