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A Delamination Model. Mathematical Properties

  • Nelly Point
  • Elio Sacco
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 66)

Abstract

In this paper some mathematical properties of a delamination model are studied. The laminate is schematized as two plates connected by a very special interface material. An interface constitutive model, based on the adhesion theory is introduced. The proposed model is governed by a functional which is neither smooth nor convex. The fundamental properties of this nonsmooth model are presented. Then a regularized interface model is constructed. The existence of a solution for the delamination problem obtained adopting the regularized interface model is proved. It is shown that this solution convergences to a solution of the nonsmooth initial delamination problem when the regularization parameters tend to 0. The lack of convexity of the functionals governing both the nonsmooth and the regularized problems makes this proof not straightforward.

Keywords

Energy Release Rate Mathematical Property Strain Energy Release Loaded Plate Unilateral Contact 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Nelly Point
    • 1
  • Elio Sacco
    • 2
  1. 1.Département de MathématiquesC.N.A.M.ParisFrance
  2. 2.Dipartimento di Ingegneria IndustrialeCassinoItaly

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