Gratus, J. and Tucker, R. W. (2003) The dynamics of Cosserat nets. Journal of Applied Mathematics, 2003 (4). pp. 187-226. ISSN 1687-0042Full text not available from this repository.
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.
|Journal or Publication Title:||Journal of Applied Mathematics|
|Subjects:||Q Science > QC Physics|
|Departments:||Faculty of Science and Technology > Physics|
|Deposited By:||Mrs Yaling Zhang|
|Deposited On:||11 Jul 2008 16:46|
|Last Modified:||22 Jan 2017 01:06|
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