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A Consistent Finite Element Formulation of Nonlinear Frictional Contact Problems

In: Numerical Techniques for Engineering Analysis and Design

Author

Listed:
  • Jiann-Wen Ju

    (University of California, Department of Civil Engineering)

  • Robert L. Taylor

    (University of California, Department of Civil Engineering)

  • Louis Y. Cheng

    (University of California, Department of Civil Engineering)

Abstract

A perturbed Lagrangian-based variational formulation is proposed for the finite element solution of folly nonlinear frictional contact problems. In the spirit of an operator splitting methodology, an analogy exists between the proposed treatment for the stick-slip motion and the corresponding treatment in elastoplasticity. Within the context of discrete formulations arising from a finite element approximation, explicit expressions for the frictional consistent contact tangent stiffness and residual are derived from variational equations by using a consistent linearization procedure for both the sliding and adhesion phases. The consistent tangent operator is always non- symmetric for the case of frictional sliding owing to the nature of the Coulomb’s friction law employed.

Suggested Citation

  • Jiann-Wen Ju & Robert L. Taylor & Louis Y. Cheng, 1987. "A Consistent Finite Element Formulation of Nonlinear Frictional Contact Problems," Springer Books, in: G. N. Pande & J. Middleton (ed.), Numerical Techniques for Engineering Analysis and Design, chapter 0, pages 37-49, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3653-9_5
    DOI: 10.1007/978-94-009-3653-9_5
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