Global injectivity and topological constraints for spatial nonlinearly elastic rods
type: Item
instance of: scholarly article
title: Global injectivity and topological constraints for spatial nonlinearly elastic rods
zbMATH Open document ID: 1084.74527
published in: Journal of Nonlinear Science
publication date: 2003-05-04T00:00:00Z
review text: This article deals with global injectivity of looped thin elastic rods in a closure of an open set in \(\mathbb R^3\), under topological constraints of a knot type. As the shape of elastic rod is determined by a minimal state of energy, the author shows the existence of an energy-minimizing equilibrium state without self-penetration, which may also be restricted by a rigid obstacle.
reviewed by: Shigeki Matsutani
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74G65
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1903650
zbMATH Keywords: handedness
zbMATH Keywords: energy-minimizing equilibrium state
author: Friedemann Schuricht
MaRDI profile type: Publication
full work available at URL: s00332-002-0462-8
OpenAlex ID: W2160745566
DOI: 10.1007/S00332-002-0462-8
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description: scientific article; zbMATH DE number 1903650