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An adaptive finite element approach for frictionless contact problems

✍ Scribed by Gustavo C. Buscaglia; Ricardo Durán; Eduardo A. Fancello; Raúl A. Feijóo; Claudio Padra

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
880 KB
Volume
50
Category
Article
ISSN
0029-5981

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✦ Synopsis

The derivation of an a posteriori error estimator for frictionless contact problems under the hypotheses of linear elastic behaviour and inÿnitesimal deformation is presented. The approximated solution of this problem is obtained by using the ÿnite element method. A penalization or augmented-Lagrangian technique is used to deal with the unilateral boundary condition over the contact boundary. An a posteriori error estimator suitable for adaptive mesh reÿnement in this problem is proposed, together with its mathematical justiÿcation. Up to the present time, this mathematical proof is restricted to the penalization approach. Several numerical results are reported in order to corroborate the applicability of this estimator and to compare it with other a posteriori error estimators.

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