The unique perspectives and objectives of the present paper are: (i) formulate a new nonlinearly explicit second-order accurate L-stable approach into the forward incremental displacement form of representation for applications to nonlinear dynamic systems with frictional contact boundary, (ii) formulate the decoupled forward Lagrangian formulation for the normal contact constraints and the Eulerian formulation for the tangential contact constraints for the frictional contact boundary, and employing the general dry friction model involving relative velocity.
- Frictional contact-impact
- Linear/nonlinear complementary equations
- Quadratic programming
- Semi-explicit unconditionally stable algorithms