An application of the J-integral to an incremental analysis of blunting crack behavior

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This paper describes an analytical approach to estimating the elastic-plastic stresses and strains near the tip of a blunting crack with a finite root radius. Rice's original derivation of the path independent J-integral considered the possibility of a finite crack tip root radius. For this problem Creager's elastic analysis gives the relation between the stress intensity factor K{sub I} and the near tip stresses. It can be shown that the relation K{sub I}{sup 2} = E{prime}J holds when the root radius is finite. Recognizing that elastic-plastic behavior is incrementally linear then allows a derivation to be performed for a bielastic ... continued below

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Pages: (27 p)

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Merkle, J.G. (Oak Ridge National Lab., TN (USA)) January 1, 1989.

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Description

This paper describes an analytical approach to estimating the elastic-plastic stresses and strains near the tip of a blunting crack with a finite root radius. Rice's original derivation of the path independent J-integral considered the possibility of a finite crack tip root radius. For this problem Creager's elastic analysis gives the relation between the stress intensity factor K{sub I} and the near tip stresses. It can be shown that the relation K{sub I}{sup 2} = E{prime}J holds when the root radius is finite. Recognizing that elastic-plastic behavior is incrementally linear then allows a derivation to be performed for a bielastic specimen having a crack tip region of reduced modulus, and the result differentiated to estimate elastic-plastic behavior. The result is the incremental form of Neuber's equation. This result does not require the assumption of any particular stress-strain relation. However by assuming a pure power law stress-strain relation and using Ilyushin's principle, the ordinary deformation theory form of Neuber's equation, K{sub {sigma}} K{sub {var epsilon}} = K{sub t}{sup 2}, is obtained. Applications of the incremental form of Neuber's equation have already been made to fatigue and fracture analysis. This paper helps to provide a theoretical basis for these methods previously considered semiempirical. 26 refs., 4 figs.

Physical Description

Pages: (27 p)

Notes

NTIS, PC A03/MF A01 - OSTI; GPO Dep.

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  • European symposium on elastic-plastic fracture mechanics, Freiburg (Germany, F.R.), 9-12 Oct 1989

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  • Other: DE89016844
  • Report No.: CONF-8910199-1
  • Grant Number: AC05-84OR21400
  • Office of Scientific & Technical Information Report Number: 5659252
  • Archival Resource Key: ark:/67531/metadc1093161

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • January 1, 1989

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  • Feb. 10, 2018, 10:06 p.m.

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  • April 27, 2018, 3:59 p.m.

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Merkle, J.G. (Oak Ridge National Lab., TN (USA)). An application of the J-integral to an incremental analysis of blunting crack behavior, article, January 1, 1989; Tennessee. (digital.library.unt.edu/ark:/67531/metadc1093161/: accessed November 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.