Open Access
31 March 2003 The dynamics of Cosserat nets
J. Gratus, R. W. Tucker
J. Appl. Math. 2003(4): 187-226 (31 March 2003). DOI: 10.1155/S1110757X03110224


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.


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J. Gratus. R. W. Tucker. "The dynamics of Cosserat nets." J. Appl. Math. 2003 (4) 187 - 226, 31 March 2003.


Published: 31 March 2003
First available in Project Euclid: 27 April 2003

zbMATH: 1205.74124
MathSciNet: MR1981621
Digital Object Identifier: 10.1155/S1110757X03110224

Primary: 74K10 , 74K30

Rights: Copyright © 2003 Hindawi

Vol.2003 • No. 4 • 31 March 2003
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