Homogenization of quadratic complementary energies: A duality example
2011 - H. Serrano
Mathematica Bohemica 136(2), 165-173 (2011)
authors IMACI
Abtract
We study an example in two dimensions of a sequence of quadratic functionals whose limit energy density, in the sense of ????-convergence, may be characterized as the dual function of the limit energy density of the sequence of their dual functionals. In this special case, ????-convergence is indeed stable under the dual operator. If we perturb such quadratic functionals with linear terms this statement is no longer true.