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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.
stress function, stresses, displacements, stress intensity factor, nonsingular stresses, nonsingular displacement, angle of initial crack extension, isochromatic fringes, J, -integral
Senior Engineer, Applied Physics Department, Advanced Technology Division, Ebasco Services Inc., New York, NY