Fully plastic analyses of unequally notched specimens in bending

Yun Jae Kim, Chang Kyun Oh, Jin Moo Park

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper proposes slip line fields for bending of unequally notched specimens in plane strain, that have a sharp crack in one side and a sharp V-notch in the other side. Depending on the back angle, two slip line fields are proposed, from which the limit moment and crack tip stress fields are obtained as a function of the back angle. Excellent agreement between slip line field solutions with those from detailed finite element limit analysis based on non-hardening plasticity provides confidence in the proposed slip line fields. One interesting point is that, for the unequally notched specimen, the difference between the crack tip triaxial stress for tension and that for bending increases significantly with the increase in the back angle. This suggests that such a specimen could be potentially useful to investigate the crack tip constraint effect on fracture toughness of materials. In this respect, the possibility of designing a new toughness testing specimen with varying crack tip constraint is discussed.

Original languageEnglish
Pages (from-to)265-273
Number of pages9
JournalInternational Journal of Mechanical Sciences
Volume48
Issue number3
DOIs
Publication statusPublished - 2006 Mar 1
Externally publishedYes

Fingerprint

crack tips
Crack tips
slip
plastics
Plastics
triaxial stresses
plane strain
notches
toughness
fracture strength
plastic properties
stress distribution
Toughness
Plasticity
Fracture toughness
confidence
cracks
Cracks
moments
Testing

Keywords

  • FE limit analysis
  • Slip line field analysis
  • Unequally notched specimen

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Fully plastic analyses of unequally notched specimens in bending. / Kim, Yun Jae; Oh, Chang Kyun; Park, Jin Moo.

In: International Journal of Mechanical Sciences, Vol. 48, No. 3, 01.03.2006, p. 265-273.

Research output: Contribution to journalArticle

Kim, Yun Jae ; Oh, Chang Kyun ; Park, Jin Moo. / Fully plastic analyses of unequally notched specimens in bending. In: International Journal of Mechanical Sciences. 2006 ; Vol. 48, No. 3. pp. 265-273.
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