Elasto-Plastic Analysis of Subsurface Layer under Cyclic Rolling-Sliding Contact Loading

The elastic-plastic analysis based on a combination (FEM + BFM) of the finite element method (FEM) and the body force method (BFM) is applied to the elastic-plastic analysis of the subsurface layer under cyclic pass of rolling-sliding contact loading. Two types of hardening rule are assumed. One is the isotropic hardening rule (IHR) and another is the kinematic hardening rule (KHR), i. e. Prager rule. If the material obeys IHR, so-called shakedown phenomenon is induced during the early cycle of pass of loading. On the other hand, if the material obeys KHR, the quasi-steady cumulative forward flow develops at the load level of q0/k ≃ 7, where q0 is the peak Hertzian pressure and k is the shear yield strength in von Mises’ yield criterion. No apparent difference is found in the cyclic increment of the equivalent plastic strain range Δ¯Ɛp in the subsurface layer for the coefficient of friction = + 0.1 and – 0.1. The amount of the experimentally observed forward flow was more than the numerical results for IHR and less than those for KHR.