Some Explicit Computations of Homogenized Energies in Mathematical Models Originating Unbounded Functionals

In this chapter we intend to give the physical flavour of the results obtained in Chapters 12 and 13. We discuss the homogenization of some simple energies of the type of those appearing in the elastic-plastic torsion problem, in the modelling of rubber-like nonlinear elastomers, and in the electrostatic screening problem described in §6.5. To this aim, we derive explicit calculations of the homogenization formula, together with some convergence results for minima and minimizers.