PART-THROUGH CRACKS IN ROUND BARS UNDER CYCLIC COMBINED AXIAL AND BENDING LOADING

Fatigue fracture mechanics concepts can usefully be applied to analyse the propagation of surface cracks in metallic round bars under cyclic combined axial and bending loading. A finite element analysis is carr ied out to determine the stress field in the case of an elliptical-are part-through flaw, the aspect ratio, alpha = a/b, of which ranges fro m 0.0 to 1.2 (alpha = 0.0 corresponds to the straight front, while alp ha = 1.0 represents the circular-are front). The fatigue crack growth is numerically examined by means of a two-parameter model based on the Paris-Erdogan law. The propagation paths for different material prope rties and loading conditions converge to an inclined asymptote in the diagram of alpha against xi, where xi is the relative crack depth of t he deepest point on the crack front. Experimental data and theoretical fracture energy considerations reported in the literature validate th e results obtained through the above model.