A Consistent Finite Element Formulation of Nonlinear Frictional Contact Problems

Jiann-Wen Ju, Robert L. Taylor and Louis Y. Cheng
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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

Chapter D5 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 37-49 from Springer

Abstract: 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.

Keywords: Elastic Foundation; Master Node; Tangent Stiffness; Finite Element Solution; Slave Node (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-94-009-3653-9_5

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