Necessary conditions for G-closure in linear conductivity

                                   by

                             Markku Miettinen

                    University of Jyvaskyla, Finland

          joint work with Andrej Cherkaev, University of Utah

                JTB 110, 3:30pm Thursday, April 22, 1999



                                Abstract

The necessary condition technique is applied to the
G-closure problems of (possibly) anisotropic linearly
conducting materials in two dimensions (G-closure= a set
of all possible composites made of original phases). By means of
it we are able to find new inner approximations
for G-closures, which are stable against the studied
variations.