Archive for Rational Mechanics and Analysis

, Volume 170, Issue 3, pp 211–245 | Cite as

Determination of the Closure of the Set of Elasticity Functionals

  • M. Camar-EddineEmail author
  • P. Seppecher


We determine the closure for Mosco-convergence in L 2 (Ω,ℝ3) of the set of elasticity functionals. We prove that this closure coincides with the set of all non-negative lower-semicontinuous quadratic functionals which are objective, i.e., which vanish for rigid motions. The result is still valid if we consider only the set of isotropic elasticity functionals which have a prescribed Poisson coefficient. This shows that a very large family of materials can be reached when homogenizing a composite material with highly contrasted rigidity coefficients.


Composite Material Large Family Rigid Motion Isotropic Elasticity Poisson Coefficient 
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© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Laboratoire d’Analyse Non Linéaire Appliquée et ModélisationUniversité de Toulon et du VarLa Garde CedexFrance

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