Inserted: 29 aug 2008
Last Updated: 12 jan 2012
Journal: Arch. Ration. Mech. Anal.
In this article we show that for the homogenization of multiple integrals, the quasiconvexification of the cell formula is different from the asymptotic formula in general. To this aim, we construct three examples in three different settings: the homogenization of a discrete model, the homogenization of a composite material and the homogenization of a homogeneous material on a perforated domain.
Keywords: Homogenization, quasiconvexity, cell formula