A semi‐implicit time‐stepping model for frictional compliant contact problems

@article{Song2004AST,
  title={A semi‐implicit time‐stepping model for frictional compliant contact problems},
  author={Peng Song and J. S. Pang and Vijay R. Kumar},
  journal={International Journal for Numerical Methods in Engineering},
  year={2004},
  volume={60}
}
In this paper, we formulate a semi‐implicit time‐stepping model for multibody mechanical systems with frictional, distributed compliant contacts. Employing a polyhedral pyramid model for the friction law and a distributed, linear, viscoelastic model for the contact, we obtain mixed linear complementarity formulations for the discrete‐time, compliant contact problem. We establish the existence and finite multiplicity of solutions, demonstrating that such solutions can be computed by Lemke's… 
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