Cavitation instabilities in a power hardening elastic-plastic solid

V. Tvergaard*, Y. Huang, J. W. Hutchinson

*Corresponding author for this work

Research output: Contribution to journalArticle

81 Citations (Scopus)

Abstract

For an infinite, remotely stressed elastic-plastic solid containing an isolated void a state may be reached, in which the void grows without bound, even though the remote stresses and strains are kept fixed. Such cavitation instabilities are determined here for power hardening elastic-plastic solids subject to axisymmetric stress states. The relatively simple analysis for a spherical void under spherically symmetric conditions is first briefly reviewed. Subsequently, the effect of an axisymmetric stress state is studied for the case of a cylindrical void, where the problem is also governed by ordinary differential equations. For a spherical void under axisymmetric stressing cavitation instabilities are determined by a numerical procedure, which couples a finite element solution for an inner region with a perturbation solution for an outer region. It is found that the critical stress levels are significantly increased by deformation hardening.

Original languageEnglish (US)
Pages (from-to)215-231
Number of pages17
JournalEuropean Journal of Mechanics, A/Solids
Volume11
Issue number2
StatePublished - Jan 1 1992

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cavitation flow
Cavitation
hardening
Hardening
voids
plastics
Plastics
Ordinary differential equations
critical loading
differential equations
perturbation

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)

Cite this

Tvergaard, V. ; Huang, Y. ; Hutchinson, J. W. / Cavitation instabilities in a power hardening elastic-plastic solid. In: European Journal of Mechanics, A/Solids. 1992 ; Vol. 11, No. 2. pp. 215-231.
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Cavitation instabilities in a power hardening elastic-plastic solid. / Tvergaard, V.; Huang, Y.; Hutchinson, J. W.

In: European Journal of Mechanics, A/Solids, Vol. 11, No. 2, 01.01.1992, p. 215-231.

Research output: Contribution to journalArticle

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