We determine the closure for Mosco-convergence in L2(Ω, ℝ3) of the set of elasticity functional. 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.
CITATION STYLE
Camar-Eddine, M., & Seppecher, P. (2003). Determination of the Closure of the Set of Elasticity Functionals. Archive for Rational Mechanics and Analysis, 170(3), 211–245. https://doi.org/10.1007/s00205-003-0272-7
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