Contact Mechanics pp 87-94 | Cite as
A Functional Framework for the Signorini Problem with Coulomb’s Friction
Chapter
Abstract
In this lecture we go back over the mathematical formulation of the Signorini problem with Coulomb’s friction. We essentially aim at reconsidering the functional framework for three reasons. Our intention is, first, to give a precise meaning to the normal contact stress (see for example Duvaut, 1982), then to give a weak formulation of Coulomb’s rule, finally to take into account the time dependency and general coefficients of friction.
Keywords
Variational Inequality Dirichlet Space Quasivariational Inequality Unilateral Contact Normal Contact Stress
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References
- Beurling, A. and Deny, J.,1959, Dirichlet spaces, Proc. Nat. Acad. Sci.,208–215.Google Scholar
- Curnier, A. and Mart, P.,1988, A generalized newton method for contact problems with friction, J. Theor. Appl. Mech., sp. issue:7.Google Scholar
- Duvaut, G., 1982, Loi de frottement non locale, J. Méc. Théo. Appl., N. sp.Google Scholar
- Lions, J.L. and Magenes, E.,1968,“Problèmes aux limites non homogènes. Vol.1,” Dunod, Paris.Google Scholar
- Moreau, J.J.,1973, On unilateral contraints, friction and plasticity, in: “New Variational Techniques in Mathematical physics”, G. Capriz and G. Stampacchia,ed.,Edizioni Cremones, Roma.Google Scholar
- Moreau, J.J.,1988, Unilateral contact and dry friction in finite freedoms dynamics, in: “Non Smooth Mechanics and Applications”, J.J. Moreau and P. Panagiotopoulos, ed, Spriger-Verlag, Wien.Google Scholar
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© Springer Science+Business Media New York 1995