On the Hertzian fatigue cone crack propagation in ceramics

The Hertzian cone crack initiation and propagation in ceramics under cyclic fatigue loading with a spherical indenter is studied. Unlike the so-called quasi-static Hertzian cone crack, the fatigue Hertzian cone crack propagation eliminates the dynamic effect on unstable crack propagation. As such, the crack is found to propagate following the path of pure mode I type. We use an elasticity approach, a finite element analysis, and an empirical analysis to investigate the Hertzian cone crack in three stages: crack initiation, crack propagation, and crack kinking. The mechanism of the multiple concentric cone cracks is also explained. The purpose is to understand and predict the behavior of the formation of the Hertzian fatigue cone crack using available modeling tools.