3-D constraint effects on J testing and crack tip constraint in M(T), SE(B), SE(T) and C(T) specimens: Numerical study

Yun-Jae Kim, Jin Su Kim, Soo Man Cho, Young Jin Kim

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This paper compiles solutions of plastic η factors and crack tip stress triaxialites for standard and non-standard fracture toughness testing specimens, via detailed three-dimensional (3-D) finite element (FE) analyses. Fracture toughness testing specimens studied include a middle cracked tension (M(T)) specimen, SE(B), single-edge cracked bar in tension (SE(T)) and C(T) specimen. The ligament-to-thickness ratio of the specimen is systematically varied. It is found that the use of the CMOD overall provides more robust experimental J estimation than that of the LLD, for all cases considered in the present work. Moreover, the J estimation based on the load-CMOD record is shown to be insensitive to the specimen thickness, and thus can be used for testing a specimen with any thickness. Furthermore, effects of in-plane and out-of-plane constraint on the crack tip stress triaxiality are quantified, so that when an experimental J value is estimated according to the procedure recommended in this paper, the corresponding crack tip stress triaxiality can be estimated. Moreover, it is found that the out-of-plane constraint effect is related to the in-plane constraint effect.

Original languageEnglish
Pages (from-to)1203-1218
Number of pages16
JournalEngineering Fracture Mechanics
Issue number9-10
Publication statusPublished - 2004 Jun 1
Externally publishedYes



  • Crack tip constraint
  • Finite element analysis
  • J-integral
  • Plastic η factor
  • Thickness effect

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

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