  We obtain a measure representation for a functional arising in the context of
optimal design problems under linear growth conditions. The functional in
question corresponds to the relaxation with respect to a pair $(\chi,u)$, where
$\chi$ is the characteristic function of a set of finite perimeter and $u$ is a
function of bounded deformation, of an energy with a bulk term depending on the
symmetrised gradient as well as a perimeter term.
