About the Periodic Contact Problem for the Maxwell Body

  • Bernard Nayroles
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

This paper is devoted to the periodic problem for a Maxwell body submitted to unilateral constraints. A similar subject was already treated by anthor’s group ([1],[2],[3]) about periodic stresses in cracked turbine blades. The unilateral constraint was the non-negativity of the crack opening displacement.

The new results brought by this paper are the complete formulations of the periodic problem for any convex domain of unilateral constraints as well as a new technique which allows to reach the solution directly, that is to say with no regularization of the constitutive equation. Due to this technique that exactly fits the liquid character of the Maxwell body, the shape of the obstacle can be as irregular as wanted. It is hoped that the tools used here for the case of a beam can be generalized to other cases.

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References

  1. [1]
    R. Bouc, G. Geymonat, M. Jean, B. Nayroles. Problèmes unilatéraux hilbertiens pour les corps viscoélastiques fissurés. Note L.N.A. n° 1420Google Scholar
  2. [2]
    R. Bouc, and all. Hilbertian unilateral problems in viscoelasticity Lecture Notes in Mathematics, n° 503, pp. 219–234, 1975.Google Scholar
  3. [3]
    R. Bouc, and all. Cauchy and Periodic Unilateral Problems for Aging Linear Viscoelastic Materials Jour, of Math. Analysis and Applications vol. 61, n°1, November 1977.Google Scholar

Copyright information

© Springer-Verlag, Berlin, Heidelberg 1981

Authors and Affiliations

  • Bernard Nayroles
    • 1
  1. 1.Laboratoire de Mécanique et d’Acoustique - C.N.R.S.Marseille Cédex 2France

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