Numerical Analysis of Perturbed Contact Problems

  • Hachmi Ben Dhia


For the numerical simulations of contact problems involving the action of a rigid tool on a deformable structure, the analytical descriptions of the surface of the rigid body which are those actually used in these simulations, are generally approximations of the desired shape. These approximations or perturbations of the data introduce additional sources of numerical errors. Many different reasons, such as CAD descriptions, meshing of the surface of the rigid body, industrial elaboration of this body or numerical integrations of the contact laws, lead to the analysis of perturbed contact problems. This remark has motivated the work reported in this paper.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Adams, R.A., 1975, “Sobolev Spaces”, Academic Press, New York.Google Scholar
  2. Ciarlet, P.G., 1978 “The Finite Element Method for Elliptic Problems”, North-Holland, Amsterdam, New York.Google Scholar
  3. Destuynder, P., 1986, “Une Théorie Asymptotique des Plaques Minces en Elasticité Linéaire”, Masson, Paris, New York.Google Scholar
  4. Duvaut, G. and Lions, J.L., 1972, “Les Inéquations en Mécanique et en Physique”, Dunod, Paris.Google Scholar
  5. Kikuchi, N. and Oden, J.T., 1988, “Contact Problems in Elasticity”, SIAM, Philadelphia.Google Scholar
  6. Glowinski, R., Lions, J.L. and Trémolières, R., 1981, “Numerical Analysis of Variational Inequalities”,North-Holland, Amsterdam, New York.Google Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Hachmi Ben Dhia
    • 1
  1. 1.Ecole Centrale de Paris Grande Voie des VignesLMSSM, URA 850Chatenay Malabry CedexFrance

Personalised recommendations