Estimation of fully plastic crack tip stresses from equilibrium of least upper bound circular arcs

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5 Citations (Scopus)

Abstract

This paper presents a simple method to estimate fully plastic crack tip stresses based on the equilibrium condition of the least upper bounds for plane strain deformation fields consisting of rigid-body rotation across a circular arc extending from a crack tip across the remaining ligament. The method is applied to deep, single-edge-cracked specimens under combined bending and tension. For various bending-to-tension ratios, the limit loads and crack tip stresses are estimated from the present method and compared with results from finite element limit analyses. The present method gives impressive results.

Original languageEnglish
Pages (from-to)881-897
Number of pages17
JournalInternational Journal of Mechanical Sciences
Volume44
Issue number5
DOIs
Publication statusPublished - 2002 May 1
Externally publishedYes

Fingerprint

crack tips
Crack tips
plastics
arcs
Plastics
ligaments
Ligaments
plane strain
Load limits
rigid structures
estimates

Keywords

  • Finite element limit analysis
  • J-integral
  • Strength mis-match
  • Test standards
  • Toughness testing

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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abstract = "This paper presents a simple method to estimate fully plastic crack tip stresses based on the equilibrium condition of the least upper bounds for plane strain deformation fields consisting of rigid-body rotation across a circular arc extending from a crack tip across the remaining ligament. The method is applied to deep, single-edge-cracked specimens under combined bending and tension. For various bending-to-tension ratios, the limit loads and crack tip stresses are estimated from the present method and compared with results from finite element limit analyses. The present method gives impressive results.",
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AB - This paper presents a simple method to estimate fully plastic crack tip stresses based on the equilibrium condition of the least upper bounds for plane strain deformation fields consisting of rigid-body rotation across a circular arc extending from a crack tip across the remaining ligament. The method is applied to deep, single-edge-cracked specimens under combined bending and tension. For various bending-to-tension ratios, the limit loads and crack tip stresses are estimated from the present method and compared with results from finite element limit analyses. The present method gives impressive results.

KW - Finite element limit analysis

KW - J-integral

KW - Strength mis-match

KW - Test standards

KW - Toughness testing

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