The driving force for mode II crack growth under rolling contact

Abstract In this paper the driving force for the cyclic growth of small subsurface cracks subjected to repeated rolling contact is evaluated. Values of the mode II stress intensity range ΔKII are derived from the variations in the stress intensity factor KII with respect to the position of the contact for rolling in the absence of shear tractions and friction on the contact surface. The calculations take into account (i) the elastic contact stresses, (ii) the friction resisting the mode II sliding of the crack faces and (iii) the residual circumferential tensile and compressive stresses produced by plastic deformation close to the rim. The values of KII and ΔKII are evaluated as a function of the ratio of the peak contact pressure to the yield strength, the length of the crack, the depth of the crack below the surface, the inclination of the crack with respect to the rim surface and the coefficient of friction for the crack faces. Predictions of the cyclic crack growth rate, component life and the critical defect size, based on the ΔKII values, are illustrated.

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