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The dynamics of Cosserat nets

Research output: Contribution to journalJournal article

Published

<mark>Journal publication date</mark>2003
<mark>Journal</mark>Journal of Applied Mathematics
Issue4
Volume2003
Number of pages40
Pages187-226
<mark>Original language</mark>English

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.