International Journal of Fracture

, Volume 106, Issue 1, pp 65–80 | Cite as

A general expression for an area integral of a point-wise J for a curved crack front

  • K. Eriksson


The expression for the J-integral at a point on a three-dimensional crack front, obtained from a surface independent integral, is in general a sum of a contour integral and an area integral. In this work a general expression of an area integral for a crack with a curved front is derived in curvilinear coordinates. In certain situations the area integral vanishes and previously known cases are a straight crack front in plane stress or plane strain. The general conditions for a vanishing area integral are studied. It is shown that the area integral is non-zero for cracks with a curved front in the direction of crack extension. Some examples of curved cracks are given, for which the area integral vanishes and that are of interest in practice.

J-integral point-wise curved crack area integral. 


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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • K. Eriksson
    • 1
  1. 1.Department of Solid MechanicsUniversity of LuleåSweden

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