The stress distribution at the tip of cracks originating from a circular hole under biaxial loads was examined. It was found that a numerical stress function can be developed, which when employed in the stress analysis of the neighborhood of the crack tip of this geometry, results in accurate evaluation of the crack-tip stress and displacement field. Some predictions of the fracture mechanical behavior of this geometry were then made based on these stress and displacement field representations.
The path-independent J-integral energy approach was used in examining the effect of the applied biaxial loads on this parameter. It was found that applied biaxial loads do affect the path independent J-integral taken around the crack tip. The direct relationship between the stress intensity factor and the J-integral which holds for line crack was found to be applicable to this geometry.
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