Effects of crystallographic orientation and grain morphology on crack tip stress state and plasticity

M. E. Kartal, M. A. Cuddihy, F. P. E. Dunne

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The Sih, Paris and Irwin analytical solution for cracks in anisotropic elastic media has been developed for an hcp Ti single crystal and shown to lead to crack tip normal stresses which are independent of crystal orientation but other stress components which are dependent. Detailed finite element studies confirm that the stress intensity remains independent of crystal orientation but ceases to do so in an edge-cracked bi-crystal.

The incorporation of crystallographic slip demonstrates that single-crystal crack tip stresses largely remain independent of crystal orientation but that the plastic zone size and shape depends greatly upon it. Significant differences result in both the magnitude and extent of the plasticity at the crack tip with crystallographic orientation which can be quite different to that predicted using Mises plasticity. For an edge crack terminating in a bi-crystal, the slip fields which result depend upon both crystal mis-orientation and morphology.
Original languageEnglish
Pages (from-to)46-58
Number of pages13
JournalInternational journal of fatigue
Volume61
Issue number46-58
Early online date6 Dec 2013
DOIs
Publication statusPublished - Apr 2014

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Crack Tip
Crack tips
Plasticity
Crystal orientation
Crystal
Crystals
Single crystals
Single Crystal
Cracks
Slip
Crack
Plastic Zone
Plastics
Analytical Solution
Finite Element
Dependent
Demonstrate

Keywords

  • stress intensity factor
  • crystal plasticity
  • anisotropy
  • titanium alloys
  • cold dwell fatigue

Cite this

Effects of crystallographic orientation and grain morphology on crack tip stress state and plasticity. / Kartal, M. E.; Cuddihy, M. A.; Dunne, F. P. E.

In: International journal of fatigue, Vol. 61, No. 46-58, 04.2014, p. 46-58.

Research output: Contribution to journalArticle

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AB - The Sih, Paris and Irwin analytical solution for cracks in anisotropic elastic media has been developed for an hcp Ti single crystal and shown to lead to crack tip normal stresses which are independent of crystal orientation but other stress components which are dependent. Detailed finite element studies confirm that the stress intensity remains independent of crystal orientation but ceases to do so in an edge-cracked bi-crystal.The incorporation of crystallographic slip demonstrates that single-crystal crack tip stresses largely remain independent of crystal orientation but that the plastic zone size and shape depends greatly upon it. Significant differences result in both the magnitude and extent of the plasticity at the crack tip with crystallographic orientation which can be quite different to that predicted using Mises plasticity. For an edge crack terminating in a bi-crystal, the slip fields which result depend upon both crystal mis-orientation and morphology.

KW - stress intensity factor

KW - crystal plasticity

KW - anisotropy

KW - titanium alloys

KW - cold dwell fatigue

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