Finite element analyses of frictional contact problems by the subloading-friction model

The subloading-friction model is the unconventional elastoplastic friction model which allows the slip displacement due to the contact stress below the sliding surface. It is capable of describing the nonlinear relationship between the normal and the tangential stress on the contact surface and a gradual progress of relative tangential displacement with the increase of the contact stress. In this paper, the compression problem of rectangular block, the indentation problem of circular rigid roller and the cyclic friction problem for the elastic body under the plane strain condition are analyzed by the finite element program incorporating the subloading-friction model. It is revealed that the distribution of contact stress is predicted appropriately and the accumulation of relative displacement due to the cyclic loading of contact tangential traction below the sliding condition can be described. Besides, the computation time is shortened by the present finite element program compared with programs with the conventional friction model.