The dynamics of Cosserat nets

Gratus, J. and Tucker, R. W. (2003) The dynamics of Cosserat nets. Journal of Applied Mathematics, 2003 (4). pp. 187-226. ISSN 1687-0042

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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.

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Journal Article
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Journal of Applied Mathematics
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11 Jul 2008 15:46
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21 Nov 2022 17:56