The Torsion of a Hollow Cylinder with Many Internal Circumferential Cracks

Abstract

In a solid with many cracks, the stress field is affected by the mutual interference of cracks. The effect of the interference of many cracks comes between those of two and infinite cracks. Therefore, in the present paper, the torsional stress state of a hollow cylinder with two or infinite parallel internal circumferential cracks is considered on the basis of the theory of elasticity. Numerical results are illustrated for the distributions of displacements and shear stresses and for the relations between the stress intensity factors and the crack dimensions. The stress intensity factors in the case of infinite cracks are smaller than those in the case of two cracks. The stress intensity factors in both cases increase with an increasing distance between cracks, and tend to that in the case of one crack.