A physics?based model reduction approach for node?to?segment contact problems in linear elasticity

The paper presents a new reduction method designed for dynamic contact problems. Recently, we have proposed an efficient scheme the node-to-node formulation, that leads to Linear Complementarity Problems (LCP). Here, enhance underlying problem node-to-segment formulation. Due application of dual approach, Nonlinear Problem (NCP) is obtained, where condition described by quadratic inequality and approximated sequence LCPs in each time step. These steps are performed reduced approximation space, while treatment itself can be achieved Craig-Bampton method, which preserves Lagrange multipliers nodal displacements at zone. We think, if area small compared overall structure, performs very efficiently, since shape entirely recovered. performance resulting assessed on two 2D computational examples