A statistical RKR fracture model for the brittle fracture of functionally graded materials

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)957-962
Journal / PublicationMaterials Science Forum
Volume308-311
Online published17 May 1999
Publication statusPublished - 1999
Externally publishedYes

Conference

Title1998 5th International Symposium on Functionally Graded Materials, FGM '98
PlaceGermany
CityDresden
Period26 - 29 October 1998

Abstract

A statistical Ritchie-Knott-Rice (RKR) [1] model for brittle fracture is considered for an FGM containing a slender notch. The FMG is modeled as linear elastic, with its strength described by two-parameter Weibull statistics. The Young's modulus is assumed to vary either linearly or sigmoidally. A compact tension (C(T)) fracture mechanics specimen is analyzed via the finite element method, considering the effect of modulus variation on the near-tip stress state. Results can be characterized by the stress intensity, K. For spatially constant Weibull parameters, the RKR model is used to predict the expected fracture toughness, KΦ, i.e., the K at which the first flaw failure occurs with probability Φ. For sufficiently high Weibull modulus, the failure occurs essentially at the notch tip. For sufficiently low Weibull modulus (m < 4), KΦ for an FGM is found to vary up to 25% from that of a homogeneous body. © 1999 Trans Tech Publications.

Research Area(s)

  • Fracture Mechanics, Fracture Toughness, Statistical Fracture, Weibull Statistics

Citation Format(s)

A statistical RKR fracture model for the brittle fracture of functionally graded materials. / Becker Jr., T. L.; Cannon, R. M.; Ritchie, R. O.
In: Materials Science Forum, Vol. 308-311, 1999, p. 957-962.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review