The dynamics of Cosserat nets
type: Item
instance of: scholarly article
title: The dynamics of Cosserat nets
zbMATH Open document ID: 1205.74124
DOI: 10.1155/S1110757X03110224
author: R. W. Tucker
author: Jonathan Gratus
published in: Journal of Applied Mathematics
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/44734
review text: Summary: 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 \(\text{SO}(3)\) 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.
Mathematics Subject Classification ID: 74K30
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1930000
MaRDI profile type: Publication
OpenAlex ID: W2002284061
description: scientific article; zbMATH DE number 1930000