Calculation of sliding interfaces of two-dimensional unsteady flow

A new technique is described for the numerical investigation of time-dependent elastic-plastic flow with sliding interfaces. The Lagrangian equations of sliding motion are derived analytically; detailed results for sliding interfaces are described. Numerical simulation results of a standard cylinder test are in good agreement with experimental data. In the problem of two-dimensional unsteady flow, sliding (contact interruption) is a kind of mechanical phenomenon frequently occurred. On a sliding plane, the normal-direction velocity of the sliding object is continuous while the tangential-direction velocity is interrupted. The differential equation for motion does not apply, therefore another group of sliding-motion equations should be used instead. In the paper, the following conditions are assumed: elastic-plastic flow, and frictionless (nonviscous) sliding plane. An analysis method is used to derive the sliding motion equations. In addition, a type of difference model is presented for the sliding motion equations. Finally, an example is given for numerical calculation.