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Reliable solution of a Signorini contact problem with friction
Author(s) -
Hlaváček Ivan
Publication year - 1999
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/(sici)1099-1506(199909)6:6<411::aid-nla178>3.0.co;2-w
Subject(s) - mathematics , variational inequality , calculus (dental) , mathematical optimization , mathematical analysis , orthodontics , medicine
A Signorini contact problem with an approximate model of friction is analysed, when Lamé coefficients, body forces and friction coefficients are uncertain, being prescribed in a given set of admissible functions. Three kinds of criteria, caharacterizing the stress intensity, are chosen to define three maximization problems. Approximate problems are proposed on the basis of finite elements and the solvability of both the original and the approximate maximization problem is proved. Some theoretical convergence analysis is presented. Copyright © 1999 John Wiley & Sons, Ltd.