Structural dynamic effects on interface response: Formulation and simulation under partial slipping conditions

A new formulation for dynamic sliding contact problems with partial slippin g is presented and used to investigate the influence of structural dynamic response on interface behavior. The mixed differential-algebraic equation ( MDAE) approach uses differential equations to describe the slipping dynamic s and algebraic (constraint) equations to model interfacial sticking. An ef ficient method for solving the case of partial interface slipping has been developed, and special consideration has been given to the changing equatio ns of motion (at the transition from stick-to-slip and slip-to-stick). Art example is presented for the case of an elastic block pressed into a rigid foundation and loaded with cyclic tangential tractions at the top of the bl ock. The full elastodynamic transient simulations illustrate that interface slip response is a strong function of loading frequency, reaching a maximu m when the external loading frequency is near the theoretical (shear-mode) natural frequency of the structure.