  We consider a thin heterogeneous layer consisted of the thin beams (of radius
$r$) and we study the limit behaviour of this problem as the periodicity
$\varepsilon$, the thickness $\delta$ and the radius $r$ of the beams tend to
zero. The decomposition of the displacement field in the beams developed in
[Griso, Decompositions of displacements of thin structures, 2008] is used,
which allows to obtain a priori estimates. Two types of the unfolding operators
are introduced to deal with the different parts of the decomposition. In
conclusion we obtain the limit problem together with the transmission
conditions across the interface.
