Fully plastic crack-tip fields for plane strain shallow-cracked specimens under pure bending

Yun-Jae Kim, Guoyu Lin, Alfred Cornec, Karl Heinz Schwalbe

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Detailed finite element (FE) analyses are performed to study the effect of crack depth on crack-tip constraint at full yielding for pure bending of plane strain single-edge-cracked specimens. Analyses are based on small-strain formulations and perfect plasticity. The crack depth a/W ranges from 0.1 to 0.7, and the deformation is applied up to the limiting state of full plasticity where crack-tip stresses reach steady-state limiting values. At load levels smaller than the limit load (contained yielding), the crack-tip constraint (stress triaxiality) gradually decreases as a/W decreases, but, at load levels close to the limit load (or at the limit load), it decreases very sharply. In terms of a/W, tractable closed-form approximations for fully plastic crack-tip stress and strain fields are proposed, and fully plastic values of crack-tip stresses are re-phrased in terms of the Q-parameter [1,2]. The role of crack-tip strains on fracture of shallow-cracked bending specimens is briefly discussed.

Original languageEnglish
Pages (from-to)21-34
Number of pages14
JournalInternational Journal of Fracture
Volume78
Issue number1
Publication statusPublished - 1996 Dec 1
Externally publishedYes

Fingerprint

Crack-tip Field
Plane Strain
Crack Tip
Crack tips
Plastics
Load limits
Plasticity
Decrease
Crack
Limiting
Stress Constraints
Cracks
Bending (deformation)
Loads (forces)
Closed-form
Finite Element
Formulation
Approximation
Range of data

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials

Cite this

Fully plastic crack-tip fields for plane strain shallow-cracked specimens under pure bending. / Kim, Yun-Jae; Lin, Guoyu; Cornec, Alfred; Schwalbe, Karl Heinz.

In: International Journal of Fracture, Vol. 78, No. 1, 01.12.1996, p. 21-34.

Research output: Contribution to journalArticle

Kim, Yun-Jae ; Lin, Guoyu ; Cornec, Alfred ; Schwalbe, Karl Heinz. / Fully plastic crack-tip fields for plane strain shallow-cracked specimens under pure bending. In: International Journal of Fracture. 1996 ; Vol. 78, No. 1. pp. 21-34.
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