---
res:
  bibo_abstract:
  - We study periodic homogenization by Γ-convergence of integral functionals with
    integrands W(x,ξ) having no polynomial growth and which are both not necessarily
    continuous with respect to the space variable and not necessarily convex with
    respect to the matrix variable. This allows to deal with homogenization of composite
    hyperelastic materials consisting of two or more periodic components whose the
    energy densities tend to infinity as the volume of matter tends to zero, i.e.,
    W(x,ξ)=∑j∈J1Vj(x)Hj(ξ) where {Vj}j∈J is a finite family of open disjoint subsets
    of RN, with |∂Vj|=0 for all j∈J and ∣∣RN∖⋃j∈JVj|=0, and, for each j∈J, Hj(ξ)→∞
    as detξ→0. In fact, our results apply to integrands of type W(x,ξ)=a(x)H(ξ) when
    H(ξ)→∞ as detξ→0 and a∈L∞(RN;[0,∞[) is 1-periodic and is either continuous almost
    everywhere or not continuous. When a is not continuous, we obtain a density homogenization
    formula which is a priori different from the classical one by Braides–Müller.
    Although applications to hyperelasticity are limited due to the fact that our
    framework is not consistent with the constraint of noninterpenetration of the
    matter, our results can be of technical interest to analysis of homogenization
    of integral functionals.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Omar
      foaf_name: Anza Hafsa, Omar
      foaf_surname: Anza Hafsa
  - foaf_Person:
      foaf_givenName: Nicolas
      foaf_name: Clozeau, Nicolas
      foaf_surname: Clozeau
      foaf_workInfoHomepage: http://www.librecat.org/personId=fea1b376-906f-11eb-847d-b2c0cf46455b
  - foaf_Person:
      foaf_givenName: Jean-Philippe
      foaf_name: Mandallena, Jean-Philippe
      foaf_surname: Mandallena
  bibo_doi: 10.5802/ambp.367
  bibo_issue: '2'
  bibo_volume: 24
  dct_date: 2017^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1259-1734
  - http://id.crossref.org/issn/2118-7436
  dct_language: eng
  dct_publisher: Université Clermont Auvergne@
  dct_title: Homogenization of nonconvex unbounded singular integrals@
...