Interaction of Ring-Shaped Edge Cracks in a Cylindrical Rod under Torsion

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In a solid material with many cracks, the stress field is affected by the interaction of cracks. In the present paper, in order to investigate the interaction of many cracks, the torsional stress state of a cylindrical rod with three parallel ring-shaped edge cracks is considered on the basis of the theory of elasticity. The radius of the central crack is different from those of the others. Numerical results are illustrated for the distributions of displacement and of shear stress and for the variation of stress intensity factors with distance between cracks and with the crack size. The stress intensity factors for deep cracks are larger than those for shallow ones. The maximum stress intensity factor in a cylindrical rod with three cracks increases with increasing distance between cracks, and approaches that in the case of a single crack.

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