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Home > Research > Publications & Outputs > The dynamics of Cosserat nets.

## The dynamics of Cosserat nets.

Research output: Contribution to journalJournal article

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Journal publication date 2003 Journal of Applied Mathematics 4 2003 40 187-226 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 $\mathrm{SO}(3)$ 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.