We consider a sequence of linear hyper-elastic, inhomogeneous and fully
anisotropic bodies in a reference configuration occupying a cylindrical region
of height epsilon. We then study, by means of Gamma-convergence, the asymptotic
behavior as epsilon goes to zero of the sequence of complementary energies. The
limit functional is then identified as a dual problem for a two-dimensional
plate. Our approach gives a direct characterization of the convergence of the
equilibrating stress fields.