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The dynamics of Cosserat nets

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The dynamics of Cosserat nets. / Gratus, J.; Tucker, R. W.
In: Journal of Applied Mathematics, Vol. 2003, No. 4, 2003, p. 187-226.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Gratus, J & Tucker, RW 2003, 'The dynamics of Cosserat nets', Journal of Applied Mathematics, vol. 2003, no. 4, pp. 187-226. https://doi.org/10.1155/S1110757X03110224

APA

Vancouver

Gratus J, Tucker RW. The dynamics of Cosserat nets. Journal of Applied Mathematics. 2003;2003(4):187-226. doi: 10.1155/S1110757X03110224

Author

Gratus, J. ; Tucker, R. W. / The dynamics of Cosserat nets. In: Journal of Applied Mathematics. 2003 ; Vol. 2003, No. 4. pp. 187-226.

Bibtex

@article{412e52ea55ab45358d9a7abe594d9ee2,
title = "The dynamics of Cosserat nets",
abstract = "A formulation of the dynamics of a collection of connected simple 1-dimensional Cosserat continua and rigid bodies is presented in terms of sections of an SO(3) fibration over a 1-dimensional net. A large class of junction conditions is considered in a unified framework. All the equations of motion and junction conditions are derived as extrema of a constrained variational principle on the net and are analysed perturbatively for structures with Kirchhoff constitutive properties. The whole discussion is based on the notion of a Cosserat net and its contractions obtained by taking certain limits that transform Cosserat elements to rigid structures. Generalisations are briefly discussed within this framework.",
author = "J. Gratus and Tucker, {R. W.}",
year = "2003",
doi = "10.1155/S1110757X03110224",
language = "English",
volume = "2003",
pages = "187--226",
journal = "Journal of Applied Mathematics",
issn = "1687-0042",
publisher = "Hindawi Publishing Corporation",
number = "4",

}

RIS

TY - JOUR

T1 - The dynamics of Cosserat nets

AU - Gratus, J.

AU - Tucker, R. W.

PY - 2003

Y1 - 2003

N2 - A formulation of the dynamics of a collection of connected simple 1-dimensional Cosserat continua and rigid bodies is presented in terms of sections of an SO(3) fibration over a 1-dimensional net. A large class of junction conditions is considered in a unified framework. All the equations of motion and junction conditions are derived as extrema of a constrained variational principle on the net and are analysed perturbatively for structures with Kirchhoff constitutive properties. The whole discussion is based on the notion of a Cosserat net and its contractions obtained by taking certain limits that transform Cosserat elements to rigid structures. Generalisations are briefly discussed within this framework.

AB - A formulation of the dynamics of a collection of connected simple 1-dimensional Cosserat continua and rigid bodies is presented in terms of sections of an SO(3) fibration over a 1-dimensional net. A large class of junction conditions is considered in a unified framework. All the equations of motion and junction conditions are derived as extrema of a constrained variational principle on the net and are analysed perturbatively for structures with Kirchhoff constitutive properties. The whole discussion is based on the notion of a Cosserat net and its contractions obtained by taking certain limits that transform Cosserat elements to rigid structures. Generalisations are briefly discussed within this framework.

U2 - 10.1155/S1110757X03110224

DO - 10.1155/S1110757X03110224

M3 - Journal article

VL - 2003

SP - 187

EP - 226

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

SN - 1687-0042

IS - 4

ER -