Wrinkling of tubes in bending from finite strain three-dimensional continuum theory
type: Item
instance of: scholarly article
title: Wrinkling of tubes in bending from finite strain three-dimensional continuum theory
zbMATH Open document ID: 1026.74045
DOI: 10.1016/S0020-7683(01)00091-9
author: Ralf Peek
published in: International Journal of Solids and Structures
publication date: 2002-08-04T00:00:00Z
review text: The author obtains a solution for wrinkling of tubes in bending using finite strain three-dimensional continuum theory. The solution for a tube under pure bending as a plane strain problem provides the prebifurcation solution. The onset of wrinkling is then predicted by introducing buckling modes involving a sinusoidal variation of the displacements along the length of the tube. No approximation of shell theory is used. The flow theory of plasticity with isotropic hardening is used for the prebuckling solution, but the bifurcation check is based on incremental moduli of finite strain deformation theory of plasticity. A comparison of small and finite strain results is made.
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74G60
zbMATH DE Number: 1747085
zbMATH Keywords: tube wrinkling
zbMATH Keywords: bending
zbMATH Keywords: finite strain three-dimensional continuum theory
zbMATH Keywords: buckling
zbMATH Keywords: flow theory of plasticity
zbMATH Keywords: isotropic hardening
zbMATH Keywords: prebuckling
zbMATH Keywords: bifurcation
reviewed by: K. T. S. Iyengar
MaRDI profile type: Publication
full work available at URL: s0020-7683(01)00091-9
OpenAlex ID: W1997068528
description: scientific article; zbMATH DE number 1747085