  We want to understand he concentration of damage in microfractured elastic
media. Due to the different scallings of the volume and area (or area and
length in two dimensions) the traditional method of homogenization using
periodic arrays of cells seems to fail when applied to the Mumford-Shah
functional and to periodically fractured domains.
  In the present paper we are departing from traditional homogenization. The
main result implies the use of Mumford-Shah energies and leads to an
explanation of the observed concentration of damage in microfractured elastic
bodies.
