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Analytical solution for elastic and elastoplastic bending of a curved beam composed of inhomogeneous materials

  • G. J. Nie*
  • , Z. Zhongb
  • *Corresponding author for this work
  • Tongji University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present an analytical solution for elastic and elastoplastic bending problem of a curved beam composed of inhomogeneous materials. Suppose the material is isotropic, ideally elastoplastic and it obeys Tresca's yield criterion and the corresponding associated flow rule. And the elastic modulus and yield limit of the material vary radially according to general power functions. The expressions of stresses and displacements of a curved beam in both purely elastic stress state and partially plastic stress state are derived. The influence of material inhomogeneity on the elastoplastic behavior of a curved beam is demonstrated in numerical examples. Analytical solutions presented here can serve as benchmark results for evaluating numerical solutions.

Original languageEnglish
Title of host publicationAdvances in Engineering Plasticity XI
PublisherTrans Tech Publications Ltd
Pages353-356
Number of pages4
ISBN (Print)9783037855485
DOIs
StatePublished - 2013
Externally publishedYes
Event11th Asia-Pacific Conference on Engineering Plasticity and Its Applications, AEPA 2012 - Singapore, Singapore
Duration: 5 Dec 20127 Dec 2012

Publication series

NameKey Engineering Materials
Volume535-536
ISSN (Print)1013-9826
ISSN (Electronic)1662-9795

Conference

Conference11th Asia-Pacific Conference on Engineering Plasticity and Its Applications, AEPA 2012
Country/TerritorySingapore
CitySingapore
Period5/12/127/12/12

Keywords

  • Analytical solution
  • Curved beam
  • Elastoplastic bending
  • Inhomogeneous materials

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