Energy-Momentum Conserving Schemes for Frictionless Dynamic Contact Problems

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Dynamic contact problems in elasticity are treated within a finite element framework by employing the well-established node-to-segment method. A new formulation of the algorithmic forces of contact is proposed which makes possible the design of energymomentum conserving integrators. The numerical example presented herein indicates that the present approach provides enhanced numerical stability.

Key words: Large deformation contact problems, conserving time integration, node-tosegment method.