Effect of material gradation on K-dominance of fracture specimens

Do Jun Shim, Glaucio H. Paulino, Robert H. Dodds

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


This work describes the effect of material gradation (parallel to the crack plane) on stress intensity factors and K-dominance, i.e. the dominance of the singular region, of fracture specimens; SE(T), SE(B) and C(T). The extent of K-dominance is investigated by comparing the actual stress field with the Williams' asymptotic stress field. Linear-elastic finite element analyses are performed using graded elements which incorporate graded material properties at the element level. Material gradation and crack geometry are systematically varied to perform the parametric study. Results reveal that the effect of material gradation on KI is most pronounced when a short crack is located on the stiffer side of the fracture specimen. For a given specimen and crack geometry, the extent of K-dominance yields a curve with a peak point at a certain material gradation. Results of the present study provide valuable insight into the K-dominance of FGMs.

Original languageEnglish (US)
Pages (from-to)643-648
Number of pages6
JournalEngineering Fracture Mechanics
Issue number5
StatePublished - Mar 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


  • 3-D finite element analysis
  • Fracture specimens
  • Functionally graded material (FGM)
  • Graded element
  • K-dominance
  • Stress intensity factor


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