On the use of vector J-integral in crack growth criteria for brittle solids

Lifeng Ma, Alexander M. Korsunsky

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27 Citations (Scopus)


In this paper the criterion for crack-growth in solids is investigated on the basis of the concept of potential energy release rate. The expressions for path-independent vector integral Ji (i = 1, 2) are derived for brittle crack growth. The relationship is then established between the value of the path-independent vector integral Ji and the potential energy release rate for crack growth in an arbitrary orientation. This allows the prediction of crack re-orientation angles on the basis of the maximum energy release rate (MERR) criterion. The crack growth angle is determined analytically as a function of Ji (i = 1, 2). This result is compared with other theoretical formulations of crack growth criteria, as well as with experimental results reported in the literature, and good agreement is found. The formulation provides a rigorous basis for numerical modelling of the processes of crack initiation and propagation.

Original languageEnglish
Pages (from-to)L39-L46
JournalInternational Journal of Fracture
Issue number4
Publication statusPublished - Jun 2005
Externally publishedYes


  • Crack-growth
  • Maximum energy release rate
  • Stress intensity factors
  • Vector J-integral


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