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A new algorithm for numerical solution of 3D elastoplastic contact problems with orthotropic friction law

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Abstract

3D elastoplastic frictional contact problems with orthotropic friction law belong to the unspecified boundary problems with nonlinearities in both material and geometric forms. One of the difficulties in solving the problem lies in the determination of the tangential slip states at the contact points. A great amount of computational efforts is needed so as to obtain high accuracy numerical results. Based on a combination of the well known mathematical programming method and iterative method, a finite element model is put forward in this paper. The problems are finally reduced to linear complementarity problems. A specially designed smoothing algorithm based on NCP-function is then applied for solving the problems. Numerical results are given to demonstrate the validity of the model and the algorithm proposed.

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Authors and Affiliations

  1. Department of Engineering Mechanics, State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    H. W. Zhang, S. Y. He & X. S. Li

  2. Institut für Baumechanik und Numerische Mechanik, Universität Hannover, Appelstr. 9A, D-30167, Hannover, Germany

    P. Wriggers

Authors
  1. H. W. Zhang
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  2. S. Y. He
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  3. X. S. Li
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  4. P. Wriggers
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Corresponding author

Correspondence to H. W. Zhang.

Additional information

The project is jointly supported by the National Natural Science Foundation (10225212, 50178016, 10302007), the National Key Basic Research Special Foundation (G1999032805), the Special Funds for Major State Basic Research Projects and the Foundation for University Key Teacher by the Ministry of Education of China. The authors are also grateful to the referees for their careful reading and detailed remarks on an earlier version of the paper.

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Zhang, H., He, S., Li, X. et al. A new algorithm for numerical solution of 3D elastoplastic contact problems with orthotropic friction law. Computational Mechanics 34, 1–14 (2004). https://doi.org/10.1007/s00466-004-0548-2

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  • DOI: https://doi.org/10.1007/s00466-004-0548-2

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