  This work deals with the homogenization of functionals with linear growth in
the context of $\mathcal{A}$-quasiconvexity. A representation theorem is
proved, where the new integrand function is obtained by solving a cell problem
where the coupling between homogenization and the $\mathcal{A}$-free condition
plays a crucial role. This result extends some previous work to the linear
case, thus allowing for concentration effects.
