Finite element modelling of subsurface mode II cracks under contact loads

A finite element model for simulating cracks in an elastic half space subjected to two dimensional rolling contact is introduced. The mode II stress intensity range δ k 11 is evaluated for both a point load and a Hertzian pressure distribution. The results agree with closed form solutions. The model makes it possible to study both long as well as short cracks of any inclination. Although only the frictionless crack case and linear elastic material behavior are treated here, the model may be extended to treat both friction and elastic-plastic behavior. Crack Tip Shear Displacement Δ(CTSD) c obtained from the finite element analysis could be used in place of K 11 or the J- integral as the crack tip controlling parameter thus avoiding difficulties produced by friction and unloading.