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The reciprocal variational approach to the Signorini problem with friction. Approximation results

Published online by Cambridge University Press:  14 November 2011

J. Haslinger  and
P. D. Panagiotopoulos
J. Haslinger
Affiliation:
Faculty of Mathematics and Physics, Charles University, Malostranské 2, 11800 Praha 1, Czechoslovakia
P. D. Panagiotopoulos
Affiliation:
Faculty of Technology, Aristotle University, Thessaloniki, Greece, and Faculty of Mathematics and Physics, Technical University of Aachen, 51 Aachen, F.R.G.
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Synopsis

In this paper, a new variational formulation of the Signorini problem with friction is given in terms of the contact stresses. The method corresponds to the direct integral equation approach in classical elastostatic problems. First the displacement and mixed problems are briefly described together with some numerical results. Next the displacements are eliminated by the use of Green's function, and a constrained minimum problem with respect to the normal and tangential tractions on the contact boundary is derived. Then the resulting approximation procedure is studied and certain convergence results are proved. Finally, some remarks on the Signorini problem with Coulomb friction are presented. Numerical results illustrate the theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 98 , Issue 3-4 , 1984 , pp. 365 - 383
Copyright
Copyright © Royal Society of Edinburgh 1984

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