The torsional stability of a cylinder subject to finite perturbations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1077.74551
author: A. N. Sporykhin
author: V. A. Sumin
publication date: 2002-04-14T00:00:00Z
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1727588
zbMATH Keywords: circular cylinder
zbMATH Keywords: stability under finite perturbations
MaRDI profile type: Publication
title: The torsional stability of a cylinder subject to finite perturbations
published in: Prikladnaya Mekhanika
review text: The paper provides a solution of torsion stability problem for the cylinder of nonlinear elastic material with circular cross-section under finite perturbations. In contrast to the classical bifurcation theory, the author constructs an infinite sequence of stable states which bounds the domain of admissible initial perturbations. The applicability of the classical three-dimensional linearized stability theory is estimated.
description: scientific article; zbMATH DE number 1727588