Effect of biaxial loads on elastic-plastic J and crack tip constraint for cracked plates

Finite element study

Yun Jae Kim, Ki Hyun Chung, Jin Su Kim, Young Jin Kim

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Based on detailed two-dimensional (2-D) and three-dimensional (3-D) finite element (FE) analyses, this paper attempts to quantify in-plane and out-of-plane constraint effects on elastic-plastic J and crack tip stresses for a plate with a through-thickness crack and semi-elliptical surface crack under positive biaxial loading. For the plate with a through-thickness crack, plate thickness and relative crack length are systematically varied, whereas for the plate with a semi-elliptical surface crack, the relative crack depth and aspect ratio of the semi-elliptical crack are systematically varied. It is found that the reference stress based approach for uniaxial loading can be applied to estimate J under biaxial loading, provided that the limit load specific to biaxial loading is used, implying that quantification of the biaxiality effect on the limit load is important. Investigation on the effect of biaxiality on the limit load suggests that for relatively thin plates with small cracks, in particular with semi-elliptical surface cracks, the effect of biaxiality on the limit load can be neglected for positive biaxial loading, and thus elastic-plastic J for a biaxially loaded plate could be estimated, assuming that such plate is subject to uniaxial load. Regarding the effect of biaxiality on crack tip stress triaxiality, it is found that such effect is more pronounced for a thicker plate. For plates with semi-elliptical surface cracks, the crack aspect ratio is found to be more important than the relative crack depth, and the effect of biaxiality on crack tip stress triaxiality is found to be more pronounced near the surface points along the crack front.

Original languageEnglish
Pages (from-to)803-825
Number of pages23
JournalInternational Journal of Fracture
Volume130
Issue number4
DOIs
Publication statusPublished - 2004 Dec 1
Externally publishedYes

Fingerprint

Biaxial
Crack Tip
Crack tips
Plastics
Crack
Finite Element
Cracks
Surface Crack
Load limits
Aspect Ratio
Aspect ratio
Thin Plate
Quantification
Quantify
Three-dimensional

Keywords

  • Bi-axial load
  • Crack tip constraint
  • Finite element
  • J-integral
  • Semi-elliptical surface crack

ASJC Scopus subject areas

  • Computational Mechanics
  • Modelling and Simulation
  • Mechanics of Materials

Cite this

Effect of biaxial loads on elastic-plastic J and crack tip constraint for cracked plates : Finite element study. / Kim, Yun Jae; Chung, Ki Hyun; Kim, Jin Su; Kim, Young Jin.

In: International Journal of Fracture, Vol. 130, No. 4, 01.12.2004, p. 803-825.

Research output: Contribution to journalArticle

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