INTERACTION OF CRACK-TIP AND NOTCH-TIP STRESS SINGULARITIES FOR CIRCULAR-CYLINDER IN TORSION

Singular integral equations are used to formulate the torsion problem of a circular cylinder containing a polygonal opening and a line crack . The formulation is based on degenerating a system of connecting line cracks to that of a polygon, the sides of which coincides with the cr acks. Considered, in particular, is the torsion of a circular cylinder with a rectangular hole and a nearby slanted line crack. Mode III str ess intensity factors are computed at both ends of the crack to reflec t their relative position to the rectangular hole in addition to chang e in the dimensions of the crack relative to the other geometric varia bles. Recognizing that the singular behavior of the stresses near a re entrant's corner differs from that of the crack tip, intensification o f the local stresses at the corners of the rectangular hole is also ex amined. The results show the influence of the crack size and position.