Gratus, J. and Tucker, R. W. (2003) The dynamics of Cosserat nets. Journal of Applied Mathematics, 2003 (4). pp. 187-226.
Full text not available from this repository.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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal of Applied Mathematics |
| Subjects: | Q Science > QC Physics |
| Departments: | Faculty of Science and Technology > Physics |
| ID Code: | 10384 |
| Deposited By: | Mrs Yaling Zhang |
| Deposited On: | 11 Jul 2008 16:46 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 14:47 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/10384 |
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