The dynamics of Cosserat nets

J. Gratus and R. W. Tucker

Journal of Applied Mathematics, 2003, vol. 2003, 1-40

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:496526

DOI: 10.1155/S1110757X03110224

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